Found 67 Documents (Results 1–67)
Breaking symmetries for equivariant coarse homology theories. (English) Zbl 07851969
Reviewer: Ralf Meyer (Göttingen)
Inverse spectral problems for Dirac-type operators with global delay on a star graph. (English) Zbl 1540.34144
On the properties of the root vector function systems of a \(2m\)th-order Dirac type operator with an integrable potential. (English. Russian original) Zbl 1534.34083
Differ. Equ. 59, No. 10, 1295-1314 (2023); translation from Differ. Uravn. 59, No. 10, 1299-1317 (2023).
Reviewer: A. S. Makin (Moskva)
The local Borg-Marchenko uniqueness theorem of matrix-valued Dirac-type operators for coefficients locally smooth at the right endpoint. (English) Zbl 1534.34029
Reviewer: A. S. Makin (Moskva)
Inverse problem for Dirac operators with a constant delay less than half the length of the interval. (English) Zbl 1524.34182
The relative eta invariant for a pair of Dirac-type operators on non-compact manifolds. (English) Zbl 1525.58007
Reviewer: Yong Wang (Changchun)
Inverse problems for Dirac operators with constant delay: uniqueness, characterization, uniform stability. (English) Zbl 1507.34083
Integration of the differential-difference sine-Gordon equation with a self-consistent source. (English. Russian original) Zbl 1515.37072
Theor. Math. Phys. 210, No. 3, 327-336 (2022); translation from Teor. Mat. Fiz. 210, No. 3, 375-386 (2022).
Parametrization of scale-invariant self-adjoint extensions of scale-invariant symmetric operators. (English) Zbl 1413.47039
Reviewer: Anatoly N. Kochubei (Kyïv)
Deformation theory of nearly Kähler manifolds. (English) Zbl 1376.53067
Reviewer: Gabor Etesi (Budapest)
On resolvent difference of Dirac type operators. (Russian. English summary) Zbl 1473.35467
The Callias index formula revisited. (English) Zbl 1359.47001
Lecture Notes in Mathematics 2157. Cham: Springer (ISBN 978-3-319-29976-1/pbk; 978-3-319-29977-8/ebook). ix, 192 p. (2016).
Reviewer: Alexei Yu. Karlovich (Lisboa)
A \(p\)-adic spectral triple. (English) Zbl 1315.81058
Reviewer: Vida Milani (North Logan)
The Maslov index and global bifurcation for nonlinear boundary value problems. (English) Zbl 1347.34032
Johnson, Russell (ed.) et al., Stability and bifurcation theory for non-autonomous differential equations, Cetraro, Italy, June 19–25, 2011. Berlin: Springer (ISBN 978-3-642-32905-0/pbk; 978-3-642-32906-7/ebook). Lecture Notes in Mathematics 2065, 1-34 (2013).
Joint eigenfunctions of invariant differential operators on the quaternion Heisenberg group. (English) Zbl 1266.22012
Reviewer: Ilya Shilin (Khimki)
A reconstruction theorem for almost-commutative spectral triples. (English) Zbl 1253.58004
Reviewer: Igor V. Nikolaev (Ottawa)
CCR- versus CAR-quantization on curved spacetimes. (English) Zbl 1250.81073
Finster, Felix (ed.) et al., Quantum field theory and gravity. Conceptual and mathematical advances in the search for a unified framework. Papers based on the presentations at the conference, Regensburg, Germany, September 28 to October 1, 2010. Berlin: Springer (ISBN 978-3-0348-0042-6/hbk; 978-3-0348-0043-3/ebook). 183-206 (2012).
On the GBDT version of the Bäcklund-Darboux transformation and its applications to linear and nonlinear equations and Weyl theory. (English) Zbl 1200.37070
Reviewer: Gheorghe Zet (Iaşi)
A new spectral triple over a space of connections. (English) Zbl 1187.58026
Reviewer: Chun-Gil Park (Daejeon)
Theorem of completeness for a Dirac-type operator with generalized \(\lambda \)-depending boundary conditions. (English) Zbl 1195.34131
Reviewer: Mouffak Benchohra (Sidi Bel Abbes)
Dirac type gauge theories – motivations and perspectives. (English) Zbl 1173.53022
Reviewer: Joseph D. Zund (Las Cruces)
On self-adjoint and \(J\)-self-adjoint Dirac-type operators: a case study. (English) Zbl 1124.34062
Chernov, Nikolaj (ed.) et al., Recent advances in differential equations and mathematical physics. UAB international conference on differential equations and mathematical physics, Birmingham, AL, USA, March 29–April 2, 2005. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3840-7/pbk). Contemporary Mathematics 412, 103-140 (2006).
Reviewer: Victor I. Tkachenko (Kyïv)
Non-self-adjoint Dirac-type systems and related nonlinear equations: Wave functions, solutions, and explicit formulas. (English) Zbl 1105.47064
Reviewer: Matteo Franca (Ancona)
Quadratic estimates and functional calculi of perturbed Dirac operators. (English) Zbl 1094.47045
Reviewer: Dian K. Palagachev (Bari)
Asymptotic growth analysis of some PDE related to higher dimensional Dirac type equations. I. (English) Zbl 1088.35053
Simos, Theodore S. (ed.) et al., ICNAAM 2005. International conference on numerical analysis and applied mathematics 2005. Official conference of the European Society of Computational Methods in Sciences and Engineering (ESCMSE), Rhodes, Greek, September 16–20, 2005. Weinheim: Wiley-VCH (ISBN 3-527-40652-2/hbk). 133-136 (2005).
Stability theorems for chiral bag boundary conditions. (English) Zbl 1114.58013
Reviewer: Hans-Bert Rademacher (Leipzig)
\(\mathcal J\)-self-adjointness of a class of Dirac-type operators. (English) Zbl 1070.47039
Reviewer: Vyacheslav Pivovarchik (Odessa)
Absence of eigenvalues of Dirac type operators. (English) Zbl 1083.35071
Kajitani, Kunihiko (ed.) et al., Partial differential equations and mathematical physics. In memory of Jean Leray. Basel: Birkhäuser (ISBN 0-8176-4309-5/hbk). Prog. Nonlinear Differ. Equ. Appl. 52, 157-176 (2003).
Reviewer: Pavel Dyshlovenko (Ul’yanovsk)
Completeness theorems for Dirac-type operators with boundary conditions of general form that depend on the spectral parameter. (English. Russian original) Zbl 1064.34075
Math. Notes 74, No. 2, 302-307 (2003); translation from Mat. Zametki 74, No. 2, 316-320 (2003).
Reviewer: Victor S. Rykhlov (Saratov)
Logarithmic terms in trace expansions of Atiyah-Patodi-Singer problems. (English) Zbl 1048.35095
Reviewer: C. Bouzar (Oran)
\(C_{0}\) coarse geometry and scalar curvature. (English) Zbl 1042.58009
Reviewer: Corina Mohorianu (Iaşi)
Weak UCP and perturbed monopole equations. (English) Zbl 1058.58014
Reviewer: Bernd Ammann (Vandœuvre-les-Nancy)
Adiabatic decomposition of the \(\zeta\)-determinant of the Dirac Laplacian. I: The case of an invertible tangential operator. (With an appendix by Yoonweon Lee). (English) Zbl 1016.58020
Reviewer: Peter B.Gilkey (Eugene)
Weyl function and spectral properties of self-adjoint extensions. (English) Zbl 1008.47028
Reviewer: Michael Perelmuter (Kyïv)
Zeta determinants on manifolds with boundary. (English) Zbl 1007.58018
Reviewer: Peter B.Gilkey (Eugene)
Semi-bounded restrictions of Dirac type operators and the unique continuation property. (English) Zbl 1031.58008
Reviewer: Dian K.Palagachev (Bari)
Théorèmes de l’indice sur les variétés non-compactes. (Index theorems for noncompact manifolds). (French) Zbl 1014.58012
Reviewer: W.Mozgawa (Lublin)
On boundary value problems for Dirac type operators. I: Regularity and self-adjointness. (English) Zbl 1023.58013
Reviewer: Bernd Ammann (Hamburg)
Exotic involutions of low-dimensional spheres and the eta-invariant. (English) Zbl 0961.57024
Reviewer: Yuli Rudyak (Heidelberg)
Geometric \(K\)-homology and controlled paths. (English) Zbl 0930.46057
Reviewer: V.M.Deundjak (Rostov-na-Donu)
Spontaneous symmetry breaking and geometry from the spectral viewpoint. (Brisure de symétrie spontanée et géométrie du point de vue spectral.) (French) Zbl 0918.46064
Reviewer: G.A.Noskov (Omsk)
A note on Toeplitz operators. (English) Zbl 0864.47010
Heat kernels, Dirac operators and stochastic calculus superspace. (English) Zbl 0863.58076
Fulling, S. A. (ed.), Heat kernel technique and quantum gravity. Proceedings of a conference, Winnipeg, Canada, August 2–6 1994. College Station, TX: Texas A & M University. Discourses Math. Appl. 4, 141-149 (1995).
Selfadjoint operator extensions and Clifford algebras. (English) Zbl 0796.47003
Reviewer: P.E.T.Jorgensen (Iowa City)
Eta invariants and manifolds with boundary. (English. Abridged French version) Zbl 0795.58048
Reviewer: D.Repovš (Ljubljana)
\(K\)-homology and the index theorem. (English) Zbl 0793.58034
Fox, Jeffrey (ed.) et al., Index theory and operator algebras. Proceedings of a CBMS regional conference on \(K\)-homology and index theory, held August 6-10, 1991 in Boulder, CO, USA. Providence, RI: American Mathematical Society. Contemp. Math. 148, 47-66 (1993).
Reviewer: G.F.Nassopoulos (Athens)
Residues of the eta function for an operator of Dirac type. (English) Zbl 0756.58048
Reviewer: Yu.E.Gliklikh (Voronezh)
A note on the cobordism invariance of the index. (English) Zbl 0731.58065
Reviewer: W.Mozgawa (Lublin)
A supersymmetric Feynman-Kac formula. (English) Zbl 0743.60063
Stochastic analysis, Proc. Symp., Durham/UK 1990, Lond. Math. Soc. Lect. Note Ser. 167, 333-351 (1991).
Reviewer: A.Rogers
A note on the relative index theorem. (English) Zbl 0746.19009
Reviewer: V.Deundyak (Rostov-na-Donu)
An index theorem on open manifolds. I. II. (English) Zbl 0657.58041
Reviewer: S.K.Chatterjea
Differential-difference dynamical systems associated with the Dirac difference operator and their total integrability. (English. Russian original) Zbl 0574.35075
Ukr. Math. J. 37, 153-158 (1985); translation from Ukr. Mat. Zh. 37, No. 2, 180-186 (1985).
Reviewer: V. Chulaevsky
\(C_{2n}\) spinor geometry. (English) Zbl 0527.53047
Differential geometric methods in theoretical physics, Conf. Trieste 1981, 112-126 (1983).
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