Found 236 Documents (Results 1–100)
Fourier-Feynman transforms of cylinder functionals combining Gaussian paths on Wiener space. (English) Zbl 07901586
Generalized Fourier-Feynman transform of bounded cylinder functions on the function space \(C_{a, b}[0, T]\). (English) Zbl 07894338
When scattering transform meets non-Gaussian random processes, a double scaling limit result. (English) Zbl 07874423
Generalised graph Laplacians and canonical Feynman integrals with kinematics. (English) Zbl 1541.81064
Restriction theorem fails for the Fourier-Hermite transform associated with the normalized Hermite polynomials with respect to a discrete surface. (English) Zbl 1527.35328
Generalized first variation and generalized sequential Fourier-Feynman transform. (English) Zbl 07849601
The contour integral method for Feynman-Kac equation with two internal states. (English) Zbl 1538.44002
Generalized Fourier-Feynman transforms and convolutions for exponential type functions of generalized Brownian motion paths. (English) Zbl 1527.28014
Conditional Fourier-Feynman transform and conditional convolution product associated with infinite dimensional conditioning function. (English) Zbl 1527.28015
Conditional Fourier-Feynman transform and conditional convolution product associated with vector-valued conditioning function. (English) Zbl 07738432
Reviewer: Byoung Soo Kim (Seoul)
Conditional Fourier-Feynman transform given infinite dimensional conditioning function on abstract Wiener space. (English) Zbl 07729541
Hepp’s bound for Feynman graphs and matroids. (English) Zbl 1520.81076
Reviewer: Michael Borinsky (Zürich)
Analytic Fourier-Feynman transforms associated with bounded linear operators on abstract Wiener spaces. (English) Zbl 1528.46035
\( L^p\)-bounds for semigroups generated by non-elliptic quadratic differential operators. (English) Zbl 1530.47058
Matiyasevich formula for chromatic and flow polynomials and Feynman amplitudes. (English) Zbl 1511.05109
Toward a minimal model for \(H_* (\overline{\mathcal{M}})\). (English) Zbl 1515.18016
Reviewer: Najib Idrissi (Paris)
Conditional Fourier-Feynman transform and convolution product for a vector valued conditioning function. (English) Zbl 1521.42006
Reviewer: Ferenc Weisz (Budapest)
Massey products for graph homology. (English) Zbl 1493.18020
Reviewer: Marja Kankaanrinta (Helsinki)
Homogenization of nonlocal partial differential equations related to stochastic differential equations with Lévy noise. (English) Zbl 1504.60100
Reviewer: Maria Gordina (Storrs)
A representation for an inverse generalized Fourier-Feynman transform associated with Gaussian process on function space. (English) Zbl 1498.42011
A new analytic Fourier-Feynman transform w.r.t. subordinate Brownian motion. (English) Zbl 1509.42014
The equivalence between Feynman transform and Verdier duality. (English) Zbl 1480.18016
Reviewer: Hirokazu Nishimura (Tsukuba)
Generalized sequential convolution product for the generalized sequential Fourier-Feynman transform. (English) Zbl 1481.46036
Relationship between the analytic generalized Fourier-Feynman transform and the function space integral. (English) Zbl 1479.46058
Yeh-Fourier-Feynman transforms and convolutions associated with Gaussian processes. (English) Zbl 1478.46044
On exceptional times for pointwise convergence of integral kernels in Feynman-Trotter path integrals. (English) Zbl 1466.35305
Cicognani, Massimo (ed.) et al., Anomalies in partial differential equations. Based on talks given at the INDAM workshop, University of Rome “La Sapienza”, Rome, Italy, September 9–13, 2019. Cham: Springer. Springer INdAM Ser. 43, 293-311 (2021).
Algebraic structure of the \(L_2\) analytic Fourier-Feynman transform associated with Gaussian paths on Wiener space. (English) Zbl 1444.42005
Reviewer: Virender Dalal (Delhi)
Parts formulas involving the Fourier-Feynman transform associated with Gaussian paths on Wiener space. (English) Zbl 1453.46042
Generalized Fourier-Feynman transforms and generalized convolution products on Wiener space. II. (English) Zbl 1453.46043
Generalized transforms and generalized convolution products associated with Gaussian paths on function space. (English) Zbl 1456.60083
The massive Feynman propagator on asymptotically Minkowski spacetimes. (English) Zbl 1450.83003
Reviewer: Dimitar A. Kolev (Sofia)
Translation theorem for function space integral associated with Gaussian paths and applications. (English) Zbl 1425.60035
Translation theorems for the Fourier-Feynman transform on the product function space \(C_{a,b}^2[0,T]\). (English) Zbl 1416.46046
Shifting and modulation for the convolution product of functionals in a generalized Fresnel class. (English) Zbl 1428.28022
Multi-fold contour integrals of certain ratios of Euler gamma functions from Feynman diagrams: orthogonality of triangles. (English) Zbl 1405.81080
Quasi-invariance for the Navier-Stokes equations. (English) Zbl 1408.35125
Fefferman, Charles L. (ed.) et al., Partial differential equations in fluid mechanics. Based on the workshop “PDEs in Fluid Mechanics”, Warwick, UK, September 26–30, 2016. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 452, 97-112 (2018).
Time discretization of a tempered fractional Feynman-Kac equation with measure data. (English) Zbl 1405.65141
Iterated elliptic and hypergeometric integrals for Feynman diagrams. (English) Zbl 1394.81164
Reviewer: T. C. Mohan (Chennai)
Translation theorems for the analytic Fourier-Feynman transform associated with Gaussian paths on Wiener space. (English) Zbl 1391.60202
Shifting and modulation for Fourier-Feynman transform of functionals in a generalized Fresnel class. (English) Zbl 1474.28021
The problem of missing terms in term by term integration involving divergent integrals. (English) Zbl 1404.26013
Analytic Fourier-Feynman transforms and convolution products associated with Gaussian processes on Wiener space. (English) Zbl 1382.28010
Shifting for the Fourier-Feynman transform on Wiener space. (English) Zbl 1381.28015
Dang, Pei (ed.) et al., New trends in analysis and interdisciplinary applications. Selected contributions of the 10th ISAAC congress, Macau, China, August 3–8, 2015. Basel: Birkhäuser/Springer (ISBN 978-3-319-48810-3/pbk; 978-3-319-48812-7/ebook). Trends in Mathematics. Research Perspectives, 371-377 (2017).
Explicit calculation of multi-fold contour integrals of certain ratios of Euler gamma functions. Part 1. (English) Zbl 1375.81177
A conditional Fourier-Feynman transform and conditional convolution product with change of scales on a function space. I. (English) Zbl 1388.43003
Generalized Fourier-Feynman transforms and generalized convolution products on Wiener space. (English) Zbl 1378.42006
Reviewer: Kun Soo Chang (Seoul)
Relationships between the \(\ast_w\)-product and the \(L_1\) analytic Fourier-Feynman transforms. (English) Zbl 1376.44006
Reviewer: Deshna Loonker (Jodhpur)
Gabor analysis for Schrödinger equations and propagation of singularities. (English) Zbl 1381.47033
Maz’ya, Vladimir (ed.) et al., Recent trends in operator theory and partial differential equations. The Roland Duduchava anniversary volume. Basel: Birkhäuser/Springer (ISBN 978-3-319-47077-1/hbk; 978-3-319-47079-5/ebook). Operator Theory: Advances and Applications 258, 257-274 (2017).
A representation for the inverse generalised Fourier-Feynman transform via convolution product on function space. (English) Zbl 1370.28005
Reviewer: Kun Soo Chang (Seoul)
Some relationships for the double modified generalized analytic function space Fourier-Feynman transform and its applications. (English) Zbl 1362.28015
Generalized analytic Fourier-Feynman transforms with respect to Gaussian processes on function space. (English) Zbl 1404.28023
Boundary Harnack principle for the absolute value of a one-dimensional subordinate Brownian motion killed at 0. (English) Zbl 1354.60088
A Feynman-Kac-type formula for Lévy processes with discontinuous killing rates. (English) Zbl 1355.60060
Reviewer: Marius Iosifescu (Bucureşti)
A translation theorem for the generalized Fourier-Feynman transform associated with Gaussian process on function space. (English) Zbl 1375.60077
Behavior of the first variation of Fourier transform of a measure on the Fourier Feynman transform and convolution. (English) Zbl 1347.42019
Sequential transforms associated with Gaussian processes on function space. (English) Zbl 1341.60078
Monte-Carlo methods and stochastic processes. From linear to non-linear. (English) Zbl 1359.65012
Boca Raton, FL: CRC Press (ISBN 978-1-4987-4622-9/hbk; 978-1-315-36875-7/ebook). xxv, 309 p. (2016).
Reviewer: Vassil Grozdanov (Blagoevgrad)
MSC:
65C30
65C35
82C80
65C60
65C10
65C05
65-02
65C50
90C15
90C27
60H15
35R60
60F05
60H35
60H10
34F05
62J02
62F25
Change of scale formulas for function space integrals related with Fourier-Feynman transform and convolution on \(C_{a,b}[0,T]\). (English) Zbl 1433.28041
Hellmann-Feynman connection for the relative Fisher information. (English) Zbl 1343.82045
MSC:
82C70
On matching diffusions, Laplace transforms and partial differential equations. (English) Zbl 1327.60131
Numerical algorithms for the forward and backward fractional Feynman-Kac equations. (English) Zbl 1335.65069
Reviewer: Przemysław Stpiczyński (Lublin)
A Schwinger-Dyson equation in the Borel plane: singularities of the solution. (English) Zbl 1316.81042
Multiple generalized analytic Fourier-Feynman transform via rotation of Gaussian paths on function space. (English) Zbl 1327.46044
Reviewer: Gert Roepstorff (Aachen)
Stability of Dirichlet heat kernel estimates for non-local operators under Feynman-Kac perturbation. (English) Zbl 1321.60149
Reviewer: Sophia L. Kalpazidou (Thessaloniki)
Propagation of the Gabor wave front set for Schrödinger equations with non-smooth potentials. (English) Zbl 1314.35119
A new aspect of the analytic Fourier-Feynman transform and its applications. (English) Zbl 1308.81073
Iterated binomial sums and their associated iterated integrals. (English) Zbl 1306.81141
Reviewer: Jochen Zahn (Leipzig)
New Dirac delta function based methods with applications to perturbative expansions in quantum field theory. (English) Zbl 1321.46044
Reviewer: Fabio Bagarello (Palermo)
Change of scale formulas for Wiener integrals related to Fourier-Feynman transform and convolution. (English) Zbl 1309.46026
Bilateral Laplace-Feynman transform for cylinder functionals on Wiener space. (English) Zbl 1284.28009
Reviewer: Gogi Pantsulaia (Tbilisi)
Generalized analytic Fourier-Feynman transform of functionals in a Banach algebra \(\mathcal F^{a,b}_{A_{1},A_{2}}\). (English) Zbl 1331.60095
Reviewer: Sergey Ludkovsky (Moskva)
Analytic and algorithmic aspects of generalized harmonic sums and polylogarithms. (English) Zbl 1295.81071
Reviewer: Sergiy Koshkin (Houston)
Fourier-Feynman transform and convolution of Fourier-type functionals on Wiener space. (English) Zbl 1291.28018
Conditional Fourier-Feynman transforms and convolutions over continuous paths. (English) Zbl 1285.28019
Conditional Fourier-Feynman transforms and convolutions of unbounded functions on a generalized Wiener space. (English) Zbl 1280.28016
Reviewer: Kun Soo Chang (Seoul)
MSC:
28C20
Relationships between integral transforms and convolutions on an analogue of Wiener space. (English) Zbl 1278.60070
The behavior of conditional Wiener integrals on product Wiener space. (English) Zbl 1280.28017
Reviewer: Kun Soo Chang (Seoul)
A formula of the generalized analytic Fourier-Feynman transform of the convolution product on abstract Wiener space. (English) Zbl 1277.28018
An approach to solution of the Schrödinger equation using Fourier-type functionals. (English) Zbl 1266.60141
Uniform integrability of exponential martingales and spectral bounds of non-local Feynman-Kac semigroups. (English) Zbl 1282.60075
Zhang, Tusheng (ed.) et al., Stochastic analysis and applications to finance. Essays in honour of Jia-an Yan on the occasion of his 70th years birthday. Hackensack, NJ: World Scientific (ISBN 978-981-4383-57-8/hbk). Interdisciplinary Mathematical Sciences 13, 55-75 (2012).
Reviewer: Liliana Popa (Iaşi)
Generalized Fourier-Feynman transform and sequential transforms on function space. (English) Zbl 1298.28030
J. Korean Math. Soc. 49, No. 5, 1065-1082 (2012); addendum ibid. 51, No. 6, 1321-1322 (2014).
Reviewer: Kun Soo Chang (Seoul)
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