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The Banach Gelfand triple and its role in classical Fourier analysis and operator theory. (English) Zbl 07919550

Duduchava, Roland (ed.) et al., Tbilisi analysis and PDE seminar. Extended abstracts of the 2020–2023. Seminar talks. Cham: Birkhäuser. Trends Math., Res. Perspect. Ghent Anal. PDE Cent. 7, 67-75 (2024).

MSC: 43A15 42-XX 43-02 42B10 42A38 46E30 46F05 47A70

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Leader, Elliot

Spin in particle physics. Reprint of the 2001 edition. (English) Zbl 1517.81077

Cambridge Monographs on Particle Physics, Nuclear Physics, and Cosmology 15. Cambridge: Cambridge University Press (ISBN 978-1-00-940199-9/hbk; 978-1-00-940201-9/pbk; 978-1-00-940204-0/ebook). xxvi, 500 p., open access (2023).

MSC: 81T13 22E70 81V05 81-02 81V15 81R05 81V10

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Shilin, I. A.; Choi, Junesang

On some relations between hyper Bessel-Clifford, Macdonald and Meijer functions and hyper Hankel-Clifford integral transforms. (English) Zbl 1536.33014

Integral Transforms Spec. Funct. 34, No. 10, 788-798 (2023).

Reviewer: Takeshi Kawazoe (Yokohama)

MSC: 33C80 33C20 33C10 44A20 22E30 22E43

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Salec, Alireza Bagheri; Ivković, Stefan; Tabatabaie, Seyyed Mohammad

Spaceability on some classes of Banach spaces. (English) Zbl 1503.46018

Math. Inequal. Appl. 25, No. 3, 659-672 (2022).

MSC: 46B87 46E30 43A15 15A03

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Boucetta, Mohamed; Chakkar, Abdelmounaim

The moduli spaces of Lorentzian left-invariant metrics on three-dimensional unimodular simply connected Lie groups. (English) Zbl 1518.22008

J. Korean Math. Soc. 59, No. 4, 651-684 (2022).

MSC: 22E15 53C50

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Chamseddine, Riad

Successive Lorentz transformations for energy and momentum. Application: relativistic elastic scattering of two particles having non-collinear velocities and its dependence on Thomas rotation. (English) Zbl 1523.83009

Eur. J. Phys. 42, No. 3, Article ID 035602, 16 p. (2021).

MSC: 83C40 22E43 81U05 30C45 70G10 81V35

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Volosivets, S.

Approximation by Vilenkin polynomials in weighted Orlicz spaces. (English) Zbl 1488.42128

Anal. Math. 47, No. 2, 437-449 (2021).

Reviewer: Wenchang Sun (Tianjin)

MSC: 42C10 43A75 46E30

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Restrepo, Joel E.; Suragan, Durvudkhan

Hardy type inequalities in generalized grand Lebesgue spaces. (English) Zbl 1494.43001

Adv. Oper. Theory 6, No. 2, Paper No. 30, 32 p. (2021).

Reviewer: Michael J. Puls (New York)

MSC: 43A15 43A80 22E30 46E30

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Fernández-Culma, Edison Alberto; Godoy, Yamile; Salvai, Marcos

Generalized complex and paracomplex structures on product manifolds. (English) Zbl 1443.53044

Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 114, No. 3, Paper No. 154, 16 p. (2020).

MSC: 53C56 53C15 53D05 22F30 22F50 53B30 53B35

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Baum, Helga

Lorentzian manifolds with special holonomy – constructions and global properties. (English) Zbl 1417.83004

Brüning, Jochen (ed.) et al., Space – time – matter. Analytic and geometric structures. Berlin: De Gruyter. 51-68 (2018).

MSC: 83C05 83C35 83C60 53A10 83C10 53C50 53C29 53C22

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Nasehi, Mehri; Aghasi, Mansour

On the geometry of para-hypercomplex 4-dimensional Lie groups. (English) Zbl 1395.53060

J. Geom. Phys. 132, 230-238 (2018).

MSC: 53C30 53C50 53C15

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Steenstrup, Troels

Fourier multiplier norms of spherical functions on the generalized Lorentz groups. (English) Zbl 1379.43009

Adv. Oper. Theory 3, No. 1, 193-230 (2018).

Reviewer: V. V. Gorbatsevich (Moskva)

MSC: 43A90 22E46 47L07

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Kisel, V. V.; Pletyukhov, V. A.; Gilewsky, V. V.; Ovsiyuk, E. M.; Veko, O. V.; Redkov, V. M.

Spin 1/2 particle with two mass states: interaction with external fields. (English) Zbl 1390.81205

Nonlinear Phenom. Complex Syst., Minsk 20, No. 4, 404-423 (2017).

MSC: 81R05 81Q35 81R20 81R25 81V10

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Calvaruso, Giovanni

Three-dimensional homogeneous generalized Ricci solitons. (English) Zbl 1450.53063

Mediterr. J. Math. 14, No. 5, Paper No. 216, 21 p. (2017).

Reviewer: Dmitri Alekseevsky (Moskva)

MSC: 53C50 53C30

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Křižka, Libor; Somberg, Petr

Equivariant differential operators on spinors in conformal geometry. (English) Zbl 1362.53027

Complex Var. Elliptic Equ. 62, No. 5, 583-599 (2017).

MSC: 53B21 53B30 15A66 20G05

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Jadczyk, Arkadiusz; Szulga, Jerzy

Lorentz transformation from an elementary point of view. (English) Zbl 1356.15019

Electron. J. Linear Algebra 31, 794-833 (2016).

MSC: 15B57 17B81 22E70 15A18 15A16

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Fernández-Culma, Edison Alberto; Godoy, Yamile; Salvai, Marcos

Interpolation of geometric structures compatible with a pseudo Riemannian metric. (English) Zbl 1357.53035

Manuscr. Math. 151, No. 3-4, 453-468 (2016).

Reviewer: Vasile Oproiu (Iaşi)

MSC: 53C15 53C56 53D05 53B35 53B30 22F50 22F30

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Kassel, Fanny; Kobayashi, Toshiyuki

Poincaré series for non-Riemannian locally symmetric spaces. (English) Zbl 1333.53073

Adv. Math. 287, 123-236 (2016).

Reviewer: Andrew Bucki (Edmond)

MSC: 53C35 22E40 58J50 22E46 53C50

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Mejjaoli, Hatem

Hardy-type inequalities associated with the Weinstein operator. (English) Zbl 1336.35017

J. Inequal. Appl. 2015, Paper No. 267, 17 p. (2015).

MSC: 35A23 22E30 42B30

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Osançliol, Alen; Öztop, Serap

Weighted Orlicz algebras on locally compact groups. (English) Zbl 1338.46039

J. Aust. Math. Soc. 99, No. 3, 399-414 (2015).

Reviewer: K. Parthasarathy (Chennai)

MSC: 46E30 43A15 46J20

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Salvai, Marcos

Generalized geometric structures on complex and symplectic manifolds. (English) Zbl 1325.53106

Ann. Mat. Pura Appl. (4) 194, No. 5, 1505-1525 (2015).

Reviewer: Andreas Arvanitoyeorgos (Patras)

MSC: 53D18 22F30 22F50 53B30 53B35 53C15 53C56 53D05

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Fioresi, Rita; Lledó, María Antonia

The Minkowski and conformal superspaces. The classical and quantum descriptions. (English) Zbl 1347.81006

Hackensack, NJ: World Scientific (ISBN 978-981-4566-33-9/hbk; 978-981-4566-35-3/ebook). xxii, 341 p. (2015).

Reviewer: Om Prakash Singh (Agra)

MSC: 81-02 81T60 58C50 53C50 14M30 17B60 22E43 83A05 15A66 14M15 81R50 17B37 00A79

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Gunawan, Hendra; Sihwaningrum, Idha

Multilinear maximal functions and fractional integrals on generalized Morrey spaces. (English) Zbl 1312.42029

J. Math. Anal. 4, No. 3, 23-32 (2013).

MSC: 42B35 46E30 42B20 43A15

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Guliyev, V. S.; Mammadov, Y. Y.

$(L_{p}, L_{q})$ boundedness of the fractional maximal operator associated with the Dunkl operator on the real line. (English) Zbl 1207.42017

Integral Transforms Spec. Funct. 21, No. 7-8, 629-639 (2010).

Reviewer: Raymond Johnson (Houston)

MSC: 42B25 42B35 43A70 46E30 47G10

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Nobari, Elham; Hosseini, S. Mohammad

A method for approximation of the exponential map in semidirect product of matrix Lie groups and some applications. (English) Zbl 1189.65081

J. Comput. Appl. Math. 234, No. 1, 305-315 (2010).

MSC: 65F30 15A16

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Gupta, Anupama; Komal, B. S.

Generalized integral operators on function spaces. (English) Zbl 1205.47036

Int. J. Math. Anal., Ruse 3, No. 25-28, 1277-1282 (2009).

Reviewer: Cristinel Mortici (Targoviste)

MSC: 47B38 43A15 54C35 26D10 26D15 35A23 26A16 46E30

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Aydın, İsmail; Gürkanlı, A. Turan

The inclusion $L^{p(x)}(\mu)\subseteq L^{q(x)}(\nu)$. (English) Zbl 1194.43001

Int. J. Appl. Math. 22, No. 7, 1031-1040 (2009).

Reviewer: Michael J. Puls (New York)

MSC: 43A15

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Ferreira, Milton

Spherical wavelet transform. (English) Zbl 1178.42038

Adv. Appl. Clifford Algebr. 18, No. 3-4, 611-619 (2008).

Reviewer: Manfred Tasche (Rostock)

MSC: 42C40 22E43 30G35 43A80

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Catoni, Francesco; Boccaletti, Dino; Cannata, Roberto; Catoni, Vincenzo; Nichelatti, Enrico; Zampetti, Paolo

The mathematics of Minkowski space-time. With an introduction to commutative hypercomplex numbers. (English) Zbl 1151.53001

Frontiers in Mathematics. Basel: Birkhäuser (ISBN 978-3-7643-8613-9/pbk). xviii, 255 p. (2008).

Reviewer: Madathum K. Viswanath (Chennai)

MSC: 53-01 83-01 20G20 22E43 30G35 32Q35 52A55 53A05

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Bogoslovsky, George; Goenner, Hubert

Generalized Lorentz symmetry and nonlinear spinor fields. (English) Zbl 1092.81035

Nikitin, A.G.(ed.) et al., Proceedings of the fifth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, June 23–29, 2003. Part 2. Kyïv: Institute of Mathematics of NAS of Ukraine (ISBN 966-02-3226-8). Proceedings of the Institute of Mathematics of the National Academy of Sciences of Ukraine. Mathematics and its Applications. 50(2), 637-644 (2004).

Reviewer: S. V. Spichak (Kyïv)

MSC: 81R20 81R05 81R40 81Q05 58B20

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Hervik, Sigbjørn

Einstein metrics: homogeneous solvmanifolds, generalised Heisenberg groups and black holes. (English) Zbl 1094.53039

J. Geom. Phys. 52, No. 3, 298-312 (2004).

Reviewer: Dimitrii V. Alekseevsky (Edinburgh)

MSC: 53C25 83C57 53C50

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Calogero, Simone; Rein, Gerhard

Global weak solutions to the Nordström-Vlasov system. (English) Zbl 1060.35027

J. Differ. Equations 204, No. 2, 323-338 (2004).

MSC: 35D05 35B60 35Q75 83C40 83D05

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Fedorchuk, V. M.; Fedorchuk, V. I.

Subgroup structure of the generalized Poincaré group $P(1,4)$ and models with nontrivial symmetry. (English) Zbl 1098.35508

Ukrainian mathematical congress–2001, Kiev, Ukraine, August 21–23, 2001. Proceedings. Section 5. Mathematical physics. Kyïv: Instytut Matematyky NAN Ukraïny (ISBN 966-02-2733-7). 101-116 (2002).

MSC: 22E60 22E43 17B81

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Soeharyadi, Yudi

On the comparison of the spaces $L^1 BV({\mathbb R}^n)$ and $BV({\mathbb R}^n)$. (English) Zbl 1012.46034

Proc. Am. Math. Soc. 130, No. 2, 405-412 (2002).

Reviewer: A.Smajdor (Katowice)

MSC: 46E30 47D03 35D10 47H20

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Leader, Elliot

Spin in particle physics. (English) Zbl 0989.81070

Cambridge Monographs on Particle Physics, Nuclear Physics, and Cosmology. 15. Cambridge: Cambridge University Press. xxii, 500 p. (2001).

Reviewer: A.A.Bogush (Minsk)

MSC: 81T13 22E70 81V05 81-02 81V15 81R05 81V10

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Ziemian, Bogdan

On extendability of invariant distributions. (English) Zbl 0964.46023

Ann. Pol. Math. 74, 13-25 (2000).

Reviewer: P.K.Banerji (Jodhpur)

MSC: 46F10 46T30 22F05 22E99

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Bardaro, Carlo; Vinti, Gianluca

A general approach to the convergence theorems of generalized sampling series. (English) Zbl 0878.47016

Appl. Anal. 64, No. 3-4, 203-217 (1997); corrigendum ibid. 72, No. 3-4, 519 (1999).

Reviewer: C.Bardaro and G.Vinti (Perugia)

MSC: 47B38 46E30 47A50 47A53 47A58 47G10

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Ungar, Abraham A.

Extension of the unit disk gyrogroup into the unit ball of any real inner product space. (English) Zbl 0865.20055

J. Math. Anal. Appl. 202, No. 3, 1040-1057 (1996).

Reviewer: H.Karzel (München)

MSC: 20N05 46C20 20E22 22E43 30A05 83A05

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Zakrzewski, S.

Poisson structures on the Lorentz group. (English) Zbl 0827.17016

Lett. Math. Phys. 32, No. 1, 11-23 (1994).

Reviewer: G.Roepstorff (Aachen)

MSC: 17B37 22E43 37J99

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Sarrico, C. O. R.

Some distributional products with relativistic invariance. (English) Zbl 0806.46042

Port. Math. 51, No. 2, 283-290 (1994).

MSC: 46F10

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Avdispahić, M.

Besov spaces and generalized Lipschitz spaces on Vilenkin groups are identical. (English) Zbl 0774.43001

Approximation theory, Proc. Conf., Kecskemét/Hung. 1990, Colloq. Math. Soc. János Bolyai 58, 41-50 (1991).

Reviewer: C.W.Onneweer (Albuquerque)

MSC: 43A15 46E30 43A75 43A25 42C10

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Bogolyubov, N. N.; Logunov, A. A.; Oksak, A. I.; Todorov, I. T.

General principles of quantum field theory. Transl. from the Russian by G. G. Gould. (English) Zbl 0732.46040

Mathematical Physics and Applied Mathematics, 10. Dordrecht etc.: Kluwer Academic Publishers. xi, 694 p. Dfl. 420.00; £140.00; $ 198.00 (1990).

Reviewer: H.Araki (Kyoto)

MSC: 46N50 47N50 81T05 46-02 81U20 81-02 46L60

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Feichtinger, Hans G.

Generalized amalgams, with applications to Fourier transform. (English) Zbl 0733.46014

Can. J. Math. 42, No. 3, 395-409 (1990).

Reviewer: Vladimir I. Chilin (Tashkent)

MSC: 46E30 43A15 43A25

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Hall, G. S.

Conformal symmetries and fixed points in space-time. (English) Zbl 0715.53043

J. Math. Phys. 31, No. 5, 1198-1207 (1990).

Reviewer: D.Allison

MSC: 53C50 83C40 53C80

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Tomanov, George

The virtual solvability of the fundamental group of a generalized Lorentz space form. (English) Zbl 0681.57027

J. Differ. Geom. 32, No. 2, 539-547 (1990).

Reviewer: G.Tomanov

MSC: 57S30 53C50 20H15 57M05 22E40 57N15

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Banks, H. T.; Kappel, F.

Transformation semigroups and $L^ 1$-approximation for size structured population models. (English) Zbl 0687.47033

Semigroup Forum 38, No. 2, 141-155 (1989).

Reviewer: P.Doktor

MSC: 47D03 35C15 92D25 46E30 47F05

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Fecko, Marián

A representation of $SO(p+q,p+q)$ on SO(p,q). (English) Zbl 0643.70019

J. Math. Phys. 29, No. 5, 1079-1082 (1988).

MSC: 70H40 70G10 83A05 22E70

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Berkson, Earl; Gillespie, T. A.; Muhly, P. S.

Analyticity and spectral decompositions of $L^ p$ for compact Abelian groups. (English) Zbl 0651.47032

Pac. J. Math. 127, No. 2, 247-260 (1987).

Reviewer: J.R.L.Webb

MSC: 47D03 47A15 46E30 43A17

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Alvarez, Orlando

An introduction to Polyakov’s string model. (English) Zbl 0578.70015

Vertex operators in mathematics and physics, Proc. Conf., Berkeley/CA 1983, Publ., Math. Sci. Res. Inst. 3, 37-47 (1985).

Reviewer: L.N.Vaserstein

MSC: 70G10 37J99 81R10

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Onneweer, C. W.

Generalized Lipschitz spaces and Herz spaces on certain totally disconnected groups. (English) Zbl 0507.46026

Martingale theory in harmonic analysis and Banach spaces, Proc. NSF-CBMS Conf., Cleveland/Ohio 1981, Lect. Notes Math. 939, 106-121 (1982).

MSC: 46E30 43A15

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Griffel, D. H.

Applied functional analysis. (English) Zbl 0461.46001

Ellis Horwood Series in Mathematics and its Applications. Chichester: Ellis Horwood Limited, Publishers. New York etc.: Halsted Press: a division of John Wiley & Sons. 386 p. £25.00 (1981).

MSC: 46-01 46C05 46F05 46B03 46B10 46E15 46E20 46E30 46E35 46F10 46F12 47A05 47A10 47A53 47A70 47B06 47B38 47D03 47E05 47F05 47Gxx 47H10 47J05 47J25 49R50 34A30 34A35 34L99 34C15 34D99 34E99 35A05 35A08 35A15 35A22 35B32 35B35 35C20 35E05 35J05 35K05 35L05 35J15 35J20 35J30 35J35 35P05 42A16 42A20 42A65 42B05 45B05 45C05 45D05 45G10 70J25 70K20 70K30 37G99 76R99 76U05

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Lau, Ka-Sing

On some classes of Banach spaces and generalized harmonic analysis. (English) Zbl 0594.46024

Integration, topology, and geometry in linear spaces, Proc. Conf., Chapel Hill/N.C. 1979, Contemp. Math. 2, 213-226 (1980).

MSC: 46E30 43A15

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Patera, J.; Saint-Aubin, Yvan; Zassenhaus, Hans

Finite subgroups of the generalized Lorentz groups O(p,q). (English) Zbl 0445.22006

J. Math. Phys. 21, 234-239 (1980).

MSC: 22E40 20H05

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Rao, M. M.

Convolutions of vector fields-I. (English) Zbl 0442.43015

Math. Z. 174, 63-79 (1980).

MSC: 43A65 43A20 46K10 46E30

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Rideau, G.

Noncompletely reducible representations of the Poincaré group associated with the generalized Lorentz gauge. (English) Zbl 0427.22020

J. Math. Phys. 19, 1627-1634 (1978).

MSC: 22E70 22E43

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Rideau, G.

Quantization of the Maxwell field and extensions of zero mass representations of Poincaré group. (English) Zbl 0414.58018

Lett. Math. Phys. 2, 529-536 (1978).

MSC: 53D50 22E70 81R10 81T08 81V10

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de Jonge, E.; van Rooij, A. C. M.

Introduction to Riesz spaces. (English) Zbl 0421.46001

Mathematical Centre Tracts 78. Amsterdam: Mathematisch Centrum. IX, 229 p. Dfl. 24.00 (1977).

MSC: 46A40 46E30 46E05 46B42 46-01 06F20

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Tarakanov, A. N.

Real and complex ”boosts” in arbitrary pseudo-Euclidean spaces. (English) Zbl 0412.22017

Theor. Math. Phys. 28, 838-842 (1977).

MSC: 22E70 22E43 53B30

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Thieleker, Ernest

On the integrable and square-integrable representations of Spin (1,2m). (English) Zbl 0404.22016

Trans. Am. Math. Soc. 230, 1-40 (1977).

MSC: 22E45 22D10

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Nikitin, A. G.; Fushchich, V. I.; Yurik, I. I.

Reduction of irreducible unitary representations of generalized Poincaré groups with respect to their subgroups. (English) Zbl 0412.22013

Theor. Math. Phys. 26, 138-147 (1976).

MSC: 22E43 22E70

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Böhm, A.

Generalized eigenvectors and group representations - the connection between representations of SO(4,1) and the Poincaré group. (English) Zbl 0281.22016

Studies math. Phys., Lectures NATO advanced Study Inst., Istanbul 1970, 197-245 (1973).

MSC: 22E45 22E43 47A70

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Tret’yakova, N. N.

Generating functions for the matrix elements of the irreducible unitary representations of the group $\mathrm{SO}(n)$ of rotations of $n$-dimensional space. (Erzeugende Funktionen für die Matrizenelemente irreduzibler unitärer Darstellungen der $\mathrm{SO}(n)$-Drehungsgruppe des $n$-dimensionalen Raumes.) (Russian) Zbl 0177.04703

Izv. Akad. Nauk BSSR, Ser. Fiz.-Mat. Nauk 1969, No. 3, 40-44 (1969).

MSC: 33C80 22E43 43A90

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Found 62 Documents (Results 1–62)

The Banach Gelfand triple and its role in classical Fourier analysis and operator theory. (English) Zbl 07919550

Spin in particle physics. Reprint of the 2001 edition. (English) Zbl 1517.81077

On some relations between hyper Bessel-Clifford, Macdonald and Meijer functions and hyper Hankel-Clifford integral transforms. (English) Zbl 1536.33014

Spaceability on some classes of Banach spaces. (English) Zbl 1503.46018

The moduli spaces of Lorentzian left-invariant metrics on three-dimensional unimodular simply connected Lie groups. (English) Zbl 1518.22008

Successive Lorentz transformations for energy and momentum. Application: relativistic elastic scattering of two particles having non-collinear velocities and its dependence on Thomas rotation. (English) Zbl 1523.83009

Approximation by Vilenkin polynomials in weighted Orlicz spaces. (English) Zbl 1488.42128

Hardy type inequalities in generalized grand Lebesgue spaces. (English) Zbl 1494.43001

Generalized complex and paracomplex structures on product manifolds. (English) Zbl 1443.53044

Lorentzian manifolds with special holonomy – constructions and global properties. (English) Zbl 1417.83004

On the geometry of para-hypercomplex 4-dimensional Lie groups. (English) Zbl 1395.53060

Fourier multiplier norms of spherical functions on the generalized Lorentz groups. (English) Zbl 1379.43009

Spin 1/2 particle with two mass states: interaction with external fields. (English) Zbl 1390.81205

Three-dimensional homogeneous generalized Ricci solitons. (English) Zbl 1450.53063

Equivariant differential operators on spinors in conformal geometry. (English) Zbl 1362.53027

Lorentz transformation from an elementary point of view. (English) Zbl 1356.15019

Interpolation of geometric structures compatible with a pseudo Riemannian metric. (English) Zbl 1357.53035

Poincaré series for non-Riemannian locally symmetric spaces. (English) Zbl 1333.53073

Hardy-type inequalities associated with the Weinstein operator. (English) Zbl 1336.35017

Weighted Orlicz algebras on locally compact groups. (English) Zbl 1338.46039

Generalized geometric structures on complex and symplectic manifolds. (English) Zbl 1325.53106

The Minkowski and conformal superspaces. The classical and quantum descriptions. (English) Zbl 1347.81006

Multilinear maximal functions and fractional integrals on generalized Morrey spaces. (English) Zbl 1312.42029

\((L_{p}, L_{q})\) boundedness of the fractional maximal operator associated with the Dunkl operator on the real line. (English) Zbl 1207.42017

A method for approximation of the exponential map in semidirect product of matrix Lie groups and some applications. (English) Zbl 1189.65081

Generalized integral operators on function spaces. (English) Zbl 1205.47036

The inclusion \(L^{p(x)}(\mu)\subseteq L^{q(x)}(\nu)\). (English) Zbl 1194.43001

Spherical wavelet transform. (English) Zbl 1178.42038

The mathematics of Minkowski space-time. With an introduction to commutative hypercomplex numbers. (English) Zbl 1151.53001

Generalized Lorentz symmetry and nonlinear spinor fields. (English) Zbl 1092.81035

Einstein metrics: homogeneous solvmanifolds, generalised Heisenberg groups and black holes. (English) Zbl 1094.53039

Global weak solutions to the Nordström-Vlasov system. (English) Zbl 1060.35027

Subgroup structure of the generalized Poincaré group \(P(1,4)\) and models with nontrivial symmetry. (English) Zbl 1098.35508

On the comparison of the spaces \(L^1 BV({\mathbb R}^n)\) and \(BV({\mathbb R}^n)\). (English) Zbl 1012.46034

Spin in particle physics. (English) Zbl 0989.81070

On extendability of invariant distributions. (English) Zbl 0964.46023

A general approach to the convergence theorems of generalized sampling series. (English) Zbl 0878.47016

Extension of the unit disk gyrogroup into the unit ball of any real inner product space. (English) Zbl 0865.20055

Poisson structures on the Lorentz group. (English) Zbl 0827.17016

Some distributional products with relativistic invariance. (English) Zbl 0806.46042

Besov spaces and generalized Lipschitz spaces on Vilenkin groups are identical. (English) Zbl 0774.43001

General principles of quantum field theory. Transl. from the Russian by G. G. Gould. (English) Zbl 0732.46040

Generalized amalgams, with applications to Fourier transform. (English) Zbl 0733.46014

Conformal symmetries and fixed points in space-time. (English) Zbl 0715.53043

The virtual solvability of the fundamental group of a generalized Lorentz space form. (English) Zbl 0681.57027

Transformation semigroups and \(L^ 1\)-approximation for size structured population models. (English) Zbl 0687.47033

A representation of \(SO(p+q,p+q)\) on SO(p,q). (English) Zbl 0643.70019

Analyticity and spectral decompositions of \(L^ p\) for compact Abelian groups. (English) Zbl 0651.47032

An introduction to Polyakov’s string model. (English) Zbl 0578.70015

Generalized Lipschitz spaces and Herz spaces on certain totally disconnected groups. (English) Zbl 0507.46026

Applied functional analysis. (English) Zbl 0461.46001

On some classes of Banach spaces and generalized harmonic analysis. (English) Zbl 0594.46024

Finite subgroups of the generalized Lorentz groups O(p,q). (English) Zbl 0445.22006

Convolutions of vector fields-I. (English) Zbl 0442.43015

Noncompletely reducible representations of the Poincaré group associated with the generalized Lorentz gauge. (English) Zbl 0427.22020

Quantization of the Maxwell field and extensions of zero mass representations of Poincaré group. (English) Zbl 0414.58018

Introduction to Riesz spaces. (English) Zbl 0421.46001

Real and complex ”boosts” in arbitrary pseudo-Euclidean spaces. (English) Zbl 0412.22017

On the integrable and square-integrable representations of Spin (1,2m). (English) Zbl 0404.22016

Reduction of irreducible unitary representations of generalized Poincaré groups with respect to their subgroups. (English) Zbl 0412.22013

Generalized eigenvectors and group representations - the connection between representations of SO(4,1) and the Poincaré group. (English) Zbl 0281.22016

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