Charalambous, Nelia; Große, Nadine On the \(L^p\) spectrum of the Dirac operator. (English) Zbl 1504.58016 J. Geom. Anal. 33, No. 2, Paper No. 44, 24 p. (2023). MSC: 58J50 58J35 53C27 PDF BibTeX XML Cite \textit{N. Charalambous} and \textit{N. Große}, J. Geom. Anal. 33, No. 2, Paper No. 44, 24 p. (2023; Zbl 1504.58016) Full Text: DOI arXiv
Larraín-Hubach, Andrés Some modifications of Getzler’s grading technique. (English) Zbl 07622626 Differ. Geom. Appl. 85, Article ID 101955, 13 p. (2022). Reviewer: Yong Wang (Changchun) MSC: 58J20 58J35 PDF BibTeX XML Cite \textit{A. Larraín-Hubach}, Differ. Geom. Appl. 85, Article ID 101955, 13 p. (2022; Zbl 07622626) Full Text: DOI arXiv
Shakhmurov, Veli Regularity properties of nonlinear abstract Schrödinger equations and applications. (English) Zbl 1462.35321 Int. J. Math. 31, No. 13, Article ID 2050105, 25 p. (2020). Reviewer: Eric Stachura (Marietta) MSC: 35Q41 35K15 47B25 47-XX 46E40 PDF BibTeX XML Cite \textit{V. Shakhmurov}, Int. J. Math. 31, No. 13, Article ID 2050105, 25 p. (2020; Zbl 1462.35321) Full Text: DOI
Auscher, Pascal; Egert, Moritz; Nyström, Kaj \(L^2\) well-posedness of boundary value problems for parabolic systems with measurable coefficients. (English) Zbl 1454.35209 J. Eur. Math. Soc. (JEMS) 22, No. 9, 2943-3058 (2020). MSC: 35K51 42B37 26A33 42B25 47A60 47D06 35R05 PDF BibTeX XML Cite \textit{P. Auscher} et al., J. Eur. Math. Soc. (JEMS) 22, No. 9, 2943--3058 (2020; Zbl 1454.35209) Full Text: DOI arXiv
Ma, Xiaonan From local index theory to Bergman kernel: a heat kernel approach. (English) Zbl 1471.58025 Chen, Jingyi (ed.) et al., Geometric analysis. In honor of Gang Tian’s 60th birthday. Cham: Birkhäuser. Prog. Math. 333, 265-286 (2020). Reviewer: Yong Wang (Changchun) MSC: 58J20 58J35 PDF BibTeX XML Cite \textit{X. Ma}, Prog. Math. 333, 265--286 (2020; Zbl 1471.58025) Full Text: DOI
Cerejeiras, Paula; Kähler, Uwe; Kraußhar, R. Sören Applications of parabolic Dirac operators to the instationary viscous MHD equations on conformally flat manifolds. (English) Zbl 1442.35325 Bernstein, Swanhild (ed.), Topics in Clifford analysis. Special volume in honor of Wolfgang Sprößig on the occasion of his 70th birthday. Cham: Birkhäuser. Trends Math., 173-190 (2019). MSC: 35Q35 76W05 76D05 78A25 35G35 15A66 15B33 PDF BibTeX XML Cite \textit{P. Cerejeiras} et al., in: Topics in Clifford analysis. Special volume in honor of Wolfgang Sprößig on the occasion of his 70th birthday. Cham: Birkhäuser. 173--190 (2019; Zbl 1442.35325) Full Text: DOI arXiv
Hewett, D. P.; Ockendon, J. R.; Smyshlyaev, V. P. Contour integral solutions of the parabolic wave equation. (English) Zbl 07215311 Wave Motion 84, 90-109 (2019). MSC: 35Q41 35J05 76Q05 PDF BibTeX XML Cite \textit{D. P. Hewett} et al., Wave Motion 84, 90--109 (2019; Zbl 07215311) Full Text: DOI arXiv
Shakhmurov, Veli Hardy type unique continuation properties for abstract Schrödinger equations and applications. (English) Zbl 1449.35363 Electron. J. Qual. Theory Differ. Equ. 2019, Paper No. 97, 27 p. (2019). MSC: 35Q41 35K15 47B25 47Dxx 46E40 PDF BibTeX XML Cite \textit{V. Shakhmurov}, Electron. J. Qual. Theory Differ. Equ. 2019, Paper No. 97, 27 p. (2019; Zbl 1449.35363) Full Text: DOI arXiv
Ferreira, M.; Rodrigues, M. M.; Vieira, N. A time-fractional Borel-Pompeiu formula and a related hypercomplex operator calculus. (English) Zbl 1429.30041 Complex Anal. Oper. Theory 13, No. 6, 2495-2526 (2019). MSC: 30G35 35R11 PDF BibTeX XML Cite \textit{M. Ferreira} et al., Complex Anal. Oper. Theory 13, No. 6, 2495--2526 (2019; Zbl 1429.30041) Full Text: DOI
Shakhmurov, Veli Regularity properties of Schrödinger equations in vector-valued spaces and applications. (English) Zbl 1412.35291 Forum Math. 31, No. 1, 149-166 (2019). MSC: 35Q41 35K15 47B25 46E40 47D03 PDF BibTeX XML Cite \textit{V. Shakhmurov}, Forum Math. 31, No. 1, 149--166 (2019; Zbl 1412.35291) Full Text: DOI
van Neerven, Jan; Versendaal, Rik \(L^p\)-analysis of the Hodge-Dirac operator associated with Witten Laplacians on complete Riemannian manifolds. (English) Zbl 07002664 J. Geom. Anal. 28, No. 4, 3109-3138 (2018). MSC: 47A60 58A10 58J35 58J60 PDF BibTeX XML Cite \textit{J. van Neerven} and \textit{R. Versendaal}, J. Geom. Anal. 28, No. 4, 3109--3138 (2018; Zbl 07002664) Full Text: DOI arXiv
González Granada, José Rodrigo; Kovtunenko, Victor A. Entropy method for generalized Poisson-Nernst-Planck equations. (English) Zbl 1404.35241 Anal. Math. Phys. 8, No. 4, 603-619 (2018). MSC: 35K55 37B35 35J05 82C31 PDF BibTeX XML Cite \textit{J. R. González Granada} and \textit{V. A. Kovtunenko}, Anal. Math. Phys. 8, No. 4, 603--619 (2018; Zbl 1404.35241) Full Text: DOI
Salač, Tomáš Elliptic complex on the Grassmannian of oriented 2-planes. (English) Zbl 1395.58022 Adv. Appl. Clifford Algebr. 28, No. 1, Paper No. 8, 19 p. (2018). Reviewer: Mihail Banaru (Smolensk) MSC: 58J10 53C35 PDF BibTeX XML Cite \textit{T. Salač}, Adv. Appl. Clifford Algebr. 28, No. 1, Paper No. 8, 19 p. (2018; Zbl 1395.58022) Full Text: DOI arXiv
Sinha, Kalyan B.; Srivastava, Sachi Theory of semigroups and applications. (English) Zbl 1447.47004 Texts and Readings in Mathematics 74. New Delhi: Hindustan Book Agency; Singapore: Springer (ISBN 978-93-86279-63-7/hbk; 978-981-10-4864-7/ebook). x, 167 p. (2017). Reviewer: Aleksandr V. Tishchenko (Moskva) MSC: 47-01 47D06 35K15 35L15 35Q41 60J35 PDF BibTeX XML Cite \textit{K. B. Sinha} and \textit{S. Srivastava}, Theory of semigroups and applications. New Delhi: Hindustan Book Agency; Singapore: Springer (2017; Zbl 1447.47004) Full Text: DOI
Lesch, Matthias; Moscovici, Henri Modular curvature and Morita equivalence. (English) Zbl 1375.46053 Geom. Funct. Anal. 26, No. 3, 818-873 (2016). Reviewer: Albert Sheu (Lawrence) MSC: 46L87 58B34 81R60 47G30 58J35 16D90 PDF BibTeX XML Cite \textit{M. Lesch} and \textit{H. Moscovici}, Geom. Funct. Anal. 26, No. 3, 818--873 (2016; Zbl 1375.46053) Full Text: DOI arXiv
Hong, Seunghun A Lie-algebraic approach to the local index theorem on compact homogeneous spaces. (English) Zbl 1339.58010 Adv. Math. 296, 127-153 (2016). Reviewer: Yong Wang (Changchun) MSC: 58J20 35K08 43A85 17B70 58J35 PDF BibTeX XML Cite \textit{S. Hong}, Adv. Math. 296, 127--153 (2016; Zbl 1339.58010) Full Text: DOI arXiv
Kraußhar, R. S.; Rodrigues, M. M.; Vieira, N. Time-dependent operators on some non-orientable projective orbifolds. (English) Zbl 1338.30045 Math. Methods Appl. Sci. 38, No. 18, 5305-5319 (2015). Reviewer: Wolfgang Sprößig (Freiberg) MSC: 30G35 53C27 35J10 PDF BibTeX XML Cite \textit{R. S. Kraußhar} et al., Math. Methods Appl. Sci. 38, No. 18, 5305--5319 (2015; Zbl 1338.30045) Full Text: DOI Link
Pan, Lian; Lu, Yueming; Bao, Gejun Nonlinear parabolic systems in Clifford type analysis. (English) Zbl 1328.35076 Adv. Appl. Clifford Algebr. 25, No. 3, 621-637 (2015). MSC: 35K51 35Q41 30G35 35D30 PDF BibTeX XML Cite \textit{L. Pan} et al., Adv. Appl. Clifford Algebr. 25, No. 3, 621--637 (2015; Zbl 1328.35076) Full Text: DOI
Milella, Sabina Cores for generators of \(C_0\)-semigroups satisfying the Feller property. (English) Zbl 1328.47045 Semigroup Forum 90, No. 2, 317-338 (2015). Reviewer: Nikita V. Artamonov (Moskva) MSC: 47D06 34L40 35K20 PDF BibTeX XML Cite \textit{S. Milella}, Semigroup Forum 90, No. 2, 317--338 (2015; Zbl 1328.47045) Full Text: DOI
Kieri, Emil Stiff convergence of force-gradient operator splitting methods. (English) Zbl 1325.65075 Appl. Numer. Math. 94, 33-45 (2015). MSC: 65J08 35Q41 35K10 35K90 PDF BibTeX XML Cite \textit{E. Kieri}, Appl. Numer. Math. 94, 33--45 (2015; Zbl 1325.65075) Full Text: DOI Link
Bal, Guillaume; Pinaud, Olivier; Ryzhik, Lenya; Sølna, Knut Precursors for waves in random media. (English) Zbl 1456.74009 Wave Motion 51, No. 8, 1237-1253 (2014). MSC: 74A40 35Q41 35B25 35J05 35P25 PDF BibTeX XML Cite \textit{G. Bal} et al., Wave Motion 51, No. 8, 1237--1253 (2014; Zbl 1456.74009) Full Text: DOI
Cerejeiras, P.; Kähler, U.; Rodrigues, M. M.; Vieira, N. Hodge type decomposition in variable exponent spaces for the time-dependent operators: the Schrödinger case. (English) Zbl 1335.30016 Commun. Pure Appl. Anal. 13, No. 6, 2253-2272 (2014). Reviewer: Wolfgang Sprößig (Freiberg) MSC: 30G35 35Q41 46E35 46E30 34L40 PDF BibTeX XML Cite \textit{P. Cerejeiras} et al., Commun. Pure Appl. Anal. 13, No. 6, 2253--2272 (2014; Zbl 1335.30016) Full Text: DOI
Kraußhar, R. S.; Rodrigues, M. M.; Vieira, N. Hodge decomposition and solution formulas for some first-order time-dependent parabolic operators with non-constant coefficients. (English) Zbl 1302.30067 Ann. Mat. Pura Appl. (4) 193, No. 6, 1807-1821 (2014). MSC: 30G35 PDF BibTeX XML Cite \textit{R. S. Kraußhar} et al., Ann. Mat. Pura Appl. (4) 193, No. 6, 1807--1821 (2014; Zbl 1302.30067) Full Text: DOI
Álvarez López, Jesús (ed.); Nicolau, Marcel (ed.) [Asaoka, Masayuki; El Kacimi Alaoui, Aziz; Hurder, Steven; Richardson, Ken] Foliations: dynamics, geometry and topology. Lecture notes of some of the courses, Barcelona, Spain, May 2010. (English) Zbl 1318.57001 Advanced Courses in Mathematics – CRM Barcelona. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0870-5/pbk; 978-3-0348-0871-2/ebook). ix, 198 p. (2014). Reviewer: Jesus A. Álvarez López (Santiago de Compostela) MSC: 57-06 57R30 37C75 37C35 37B40 58J20 PDF BibTeX XML Cite \textit{J. Álvarez López} (ed.) and \textit{M. Nicolau} (ed.), Foliations: dynamics, geometry and topology. Lecture notes of some of the courses, Barcelona, Spain, May 2010. Basel: Birkhäuser/Springer (2014; Zbl 1318.57001) Full Text: DOI
Salač, Tomáš \(k\)-Dirac operator and parabolic geometries. (English) Zbl 1285.30032 Complex Anal. Oper. Theory 8, No. 2, 383-408 (2014). MSC: 30G35 58J10 PDF BibTeX XML Cite \textit{T. Salač}, Complex Anal. Oper. Theory 8, No. 2, 383--408 (2014; Zbl 1285.30032) Full Text: DOI arXiv
Salač, Tomáš \(k\)-Dirac operator and the Cartan-Kähler theorem. (English) Zbl 1313.58001 Arch. Math., Brno 49, No. 5, 333-346 (2013). MSC: 58A17 53C27 58A15 PDF BibTeX XML Cite \textit{T. Salač}, Arch. Math., Brno 49, No. 5, 333--346 (2013; Zbl 1313.58001) Full Text: DOI arXiv
Bismut, Jean-Michel Hypoelliptic Laplacian and Bott-Chern cohomology. A theorem of Riemann-Roch-Grothendieck in complex geometry. (English) Zbl 1273.58001 Progress in Mathematics 305. Basel: Birkhäuser/Springer (ISBN 978-3-319-00127-2/hbk; 978-3-319-00128-9/ebook). xv, 203 p. (2013). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 58-02 58J05 58J20 19K56 58J35 32L05 PDF BibTeX XML Cite \textit{J.-M. Bismut}, Hypoelliptic Laplacian and Bott-Chern cohomology. A theorem of Riemann-Roch-Grothendieck in complex geometry. Basel: Birkhäuser/Springer (2013; Zbl 1273.58001) Full Text: DOI
Sun, Hao-Ran; Xun, Da-Mao; Tang, Liang-Hui; Liu, Quan-Hui Transformation between eigenfunctions of three components of geometric momentum on two-dimensional sphere. (English) Zbl 1263.81197 Commun. Theor. Phys. 58, No. 1, 31-33 (2012). MSC: 81Q35 81Q05 81Q10 58J35 PDF BibTeX XML Cite \textit{H.-R. Sun} et al., Commun. Theor. Phys. 58, No. 1, 31--33 (2012; Zbl 1263.81197) Full Text: DOI
Ballmann, Werner; Brüning, Jochen; Carron, Gilles Index theorems on manifolds with straight ends. (English) Zbl 1334.53023 Compos. Math. 148, No. 6, 1897-1968 (2012). MSC: 53C20 58J20 PDF BibTeX XML Cite \textit{W. Ballmann} et al., Compos. Math. 148, No. 6, 1897--1968 (2012; Zbl 1334.53023) Full Text: DOI arXiv
Sadeghi, J.; Rostami, M. The shape invariance in \(S^2\) space with electromagnetic field. (English) Zbl 1262.81050 Int. J. Theor. Phys. 51, No. 7, 2152-2159 (2012). MSC: 81Q05 81Q35 78A25 35J05 35K35 PDF BibTeX XML Cite \textit{J. Sadeghi} and \textit{M. Rostami}, Int. J. Theor. Phys. 51, No. 7, 2152--2159 (2012; Zbl 1262.81050) Full Text: DOI
Deuflhard, Peter; Weiser, Martin Adaptive numerical solution of PDEs. (English) Zbl 1268.65146 de Gruyter Textbook. Berlin: de Gruyter (ISBN 978-3-11-028310-5/pbk; 978-3-11-028311-2/ebook). xi, 421 p. (2012). Reviewer: Thomas Sonar (Braunschweig) MSC: 65N22 65M22 65-02 65M15 65M60 65N15 65N30 65N12 65F05 65F08 65N55 65N50 65N06 65N35 65Y15 35J05 35J60 35L05 35Q41 35Q30 35Q61 PDF BibTeX XML Cite \textit{P. Deuflhard} and \textit{M. Weiser}, Adaptive numerical solution of PDEs. Berlin: de Gruyter (2012; Zbl 1268.65146) Full Text: DOI
Pfäffle, Frank Jochen Heat kernel asymptotics and some applications to mathematical physics. (English) Zbl 1316.58001 Potsdam: Univ. Potsdam, Mathematisch-Naturwissenschaftliche Fakultät (Habil.). not consecutively paged. (2011). MSC: 58-02 58J35 58J90 58J37 81Q10 PDF BibTeX XML Cite \textit{F. J. Pfäffle}, Heat kernel asymptotics and some applications to mathematical physics. Potsdam: Univ. Potsdam, Mathematisch-Naturwissenschaftliche Fakultät (Habil.) (2011; Zbl 1316.58001)
Achilleos, V.; Theocharis, G.; Kevrekidis, P. G.; Karachalios, N. I.; Diakonos, F. K.; Frantzeskakis, D. J. Stationary states of a nonlinear Schrödinger lattice with a harmonic trap. (English) Zbl 1272.35172 J. Math. Phys. 52, No. 9, 092701, 25 p. (2011). MSC: 35Q55 39A12 78A37 81Q05 35B32 35C08 35B35 81Q10 PDF BibTeX XML Cite \textit{V. Achilleos} et al., J. Math. Phys. 52, No. 9, 092701, 25 p. (2011; Zbl 1272.35172) Full Text: DOI arXiv Link
Doğan, Ü.; Sakiğlu, S.; Yildiz, A.; Akgüngör, K.; Epik, H.; Sökmen, İ.; Sari, H.; Ergün, Y. Exciton states in a quantum dot with parabolic confinement. (English) Zbl 1247.81141 Int. J. Mod. Phys. B 25, No. 32, 4489-4497 (2011). MSC: 81Q37 81V65 81Q05 81Q10 65N30 PDF BibTeX XML Cite \textit{Ü. Doğan} et al., Int. J. Mod. Phys. B 25, No. 32, 4489--4497 (2011; Zbl 1247.81141) Full Text: DOI
Iwasaki, Chisato Calculus of pseudo-differential operators and a local index of Dirac operators. (English) Zbl 1256.58007 Rodino, Luigi (ed.) et al., Pseudo-differential operators: analysis, applications and computations. Selected papers based on lectures presented at the meeting of the ISAAC Group in Pseudo-Differential Operators (IGPDO), London, UK, July 13–18, 2009. Basel: Birkhäuser (ISBN 978-3-0348-0048-8/hbk; 978-3-0348-0049-5/ebook). Operator Theory: Advances and Applications 213, 123-136 (2011). Reviewer: Luigi Rodino (Torino) MSC: 58J40 58J35 58J20 PDF BibTeX XML Cite \textit{C. Iwasaki}, Oper. Theory: Adv. Appl. 213, 123--136 (2011; Zbl 1256.58007) Full Text: DOI
Kraußhar, R. S.; Vieira, N. The Schrödinger equation on cylinders and the \(n\)-torus. (English) Zbl 1253.30067 J. Evol. Equ. 11, No. 1, 215-237 (2011). MSC: 30G35 35J10 35C15 PDF BibTeX XML Cite \textit{R. S. Kraußhar} and \textit{N. Vieira}, J. Evol. Equ. 11, No. 1, 215--237 (2011; Zbl 1253.30067) Full Text: DOI
Große, Nadine The Hijazi inequality on conformally parabolic manifolds. (English) Zbl 1235.53054 Differ. Geom. Appl. 29, No. 6, 838-849 (2011). Reviewer: Joseph D. Zund (Las Cruces) MSC: 53C27 53C21 PDF BibTeX XML Cite \textit{N. Große}, Differ. Geom. Appl. 29, No. 6, 838--849 (2011; Zbl 1235.53054) Full Text: DOI arXiv
Ma, Xiaonan Geometric quantization on Kähler and symplectic manifolds. (English) Zbl 1229.53088 Bhatia, Rajendra (ed.) et al., Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19–27, 2010. Vol. II: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency (ISBN 978-981-4324-32-8/hbk; 978-81-85931-08-3/hbk; 978-981-4324-30-4/set; 978-981-4324-35-9/ebook). 785-810 (2011). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 53D50 32A35 58J35 PDF BibTeX XML Cite \textit{X. Ma}, in: Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19--27, 2010. Vol. II: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency. 785--810 (2011; Zbl 1229.53088) Full Text: Link
Duistermaat, J. J. The heat kernel Lefschetz fixed point formula for the spin-c Dirac operator. Reprint of the 1996 original. (English) Zbl 1222.58014 Modern Birkhäuser Classics. Basel: Birkhäuser (ISBN 978-0-8176-8246-0/pbk; 978-0-8176-8247-7/ebook). x, 247 p. (2011). MSC: 58J20 53-02 53D05 53C27 57R15 58J35 58-02 58J37 PDF BibTeX XML Cite \textit{J. J. Duistermaat}, The heat kernel Lefschetz fixed point formula for the spin-c Dirac operator. Reprint of the 1996 original. Basel: Birkhäuser (2011; Zbl 1222.58014) Full Text: DOI
Gill, T. L.; Zachary, W. W. Constructive representation theory for the Feynman operator calculus on Banach spaces. (English) Zbl 1234.46059 Integr., Math. Theory Appl. 1(2008), No. 4, 301-371 (2010). MSC: 46T12 28C20 PDF BibTeX XML Cite \textit{T. L. Gill} and \textit{W. W. Zachary}, Integr., Math. Theory Appl. 1, No. 4, 301--371 (2010; Zbl 1234.46059)
Descombes, Stéphane; Thalhammer, Mechthild An exact local error representation of exponential operator splitting methods for evolutionary problems and applications to linear Schrödinger equations in the semi-classical regime. (English) Zbl 1205.65250 BIT 50, No. 4, 729-749 (2010). MSC: 65M15 35Q40 81Q05 35K20 65M06 65M12 PDF BibTeX XML Cite \textit{S. Descombes} and \textit{M. Thalhammer}, BIT 50, No. 4, 729--749 (2010; Zbl 1205.65250) Full Text: DOI HAL
Franek, Peter Description of a complex of operators acting between higher spinor modules. (English) Zbl 1171.22010 Sabadini, Irene (ed.) et al., Hypercomplex analysis. Selected papers of the 6th ISAAC conference, Ankara, Turkey, August 13–18, 2007. Basel: Birkhäuser (ISBN 978-3-7643-9892-7/hbk; 978-3-7643-9893-4/e-book). Trends in Mathematics, 151-164 (2009). Reviewer: Vasily A. Chernecky (Odessa) MSC: 22E46 22-06 32W99 PDF BibTeX XML Cite \textit{P. Franek}, in: Hypercomplex analysis. Selected papers of the 6th ISAAC conference, Ankara, Turkey, August 13--18, 2007. Basel: Birkhäuser. 151--164 (2009; Zbl 1171.22010) Full Text: DOI
Ma, Xiaonan; Marinescu, George Generalized Bergman kernels on symplectic manifolds. (English) Zbl 1141.58018 Adv. Math. 217, No. 4, 1756-1815 (2008). Reviewer: Julien Keller (Marseille) MSC: 58J50 53D50 32A25 58J35 58-02 53-02 53D05 47B35 PDF BibTeX XML Cite \textit{X. Ma} and \textit{G. Marinescu}, Adv. Math. 217, No. 4, 1756--1815 (2008; Zbl 1141.58018) Full Text: DOI arXiv
Nagase, Masayoshi Twistor spaces and the general adiabatic expansions. (English) Zbl 1130.58017 J. Funct. Anal. 251, No. 2, 680-737 (2007). Reviewer: Dian K. Palagachev (Bari) MSC: 58J35 PDF BibTeX XML Cite \textit{M. Nagase}, J. Funct. Anal. 251, No. 2, 680--737 (2007; Zbl 1130.58017) Full Text: DOI
Lassas, M.; Mueller, J. L.; Siltanen, S. Mapping properties of the nonlinear Fourier transform in dimension two. (English) Zbl 1117.81133 Commun. Partial Differ. Equations 32, No. 4, 591-610 (2007). MSC: 81U40 46T20 42B10 35Q58 35J10 35K55 81Q05 78A05 PDF BibTeX XML Cite \textit{M. Lassas} et al., Commun. Partial Differ. Equations 32, No. 4, 591--610 (2007; Zbl 1117.81133) Full Text: DOI
Cerejeiras, P.; Sommen, F.; Vieira, N. Fischer decomposition and special solutions for the parabolic Dirac operator. (English) Zbl 1128.30015 Math. Methods Appl. Sci. 30, No. 9, 1057-1069 (2007). Reviewer: Wolfgang Sprößig (Freiberg) MSC: 30G35 35A08 15A66 PDF BibTeX XML Cite \textit{P. Cerejeiras} et al., Math. Methods Appl. Sci. 30, No. 9, 1057--1069 (2007; Zbl 1128.30015) Full Text: DOI
Ma, Xiaonan; Marinescu, George Holomorphic Morse inequalities and Bergman kernels. (English) Zbl 1135.32001 Progress in Mathematics 254. Basel: Birkhäuser (ISBN 978-3-7643-8096-0/hbk). xiii, 422 p. (2007). Reviewer: Julien Keller (Marseille) MSC: 32-02 53-02 58-02 32A25 58J35 58J50 58J52 53D50 PDF BibTeX XML Cite \textit{X. Ma} and \textit{G. Marinescu}, Holomorphic Morse inequalities and Bergman kernels. Basel: Birkhäuser (2007; Zbl 1135.32001)
Franek, Peter Generalized Verma module homomorphisms in singular character. (English) Zbl 1164.22310 Arch. Math., Brno 42, No. 5, 229-240 (2006). MSC: 22E47 17B10 58J60 PDF BibTeX XML Cite \textit{P. Franek}, Arch. Math., Brno 42, No. 5, 229--240 (2006; Zbl 1164.22310) Full Text: EuDML EMIS
Bernstein, S. Factorization of the nonlinear Schrödinger equation and applications. (English) Zbl 1119.30028 Complex Var. Elliptic Equ. 51, No. 5-6, 429-452 (2006). Reviewer: Vladislav V. Kravchenko (Queretaro) MSC: 30G35 35J10 35F30 35Q55 35K10 PDF BibTeX XML Cite \textit{S. Bernstein}, Complex Var. Elliptic Equ. 51, No. 5--6, 429--452 (2006; Zbl 1119.30028) Full Text: DOI arXiv EuDML
Ma, Xiaonan; Marinescu, George The first coefficients of the asymptotic expansion of the Bergman kernel of the spin\(^{c}\) Dirac operator. (English) Zbl 1106.58018 Int. J. Math. 17, No. 6, 737-759 (2006). Reviewer: Bernd Ammann (Vandœuvre-les-Nancy) MSC: 58J35 53D50 32L10 PDF BibTeX XML Cite \textit{X. Ma} and \textit{G. Marinescu}, Int. J. Math. 17, No. 6, 737--759 (2006; Zbl 1106.58018) Full Text: DOI arXiv
Haba, Z. Bounds on the heat kernel of the Schrödinger operator in a random electromagnetic field. (English) Zbl 1100.81016 J. Phys. A, Math. Gen. 39, No. 31, 9921-9936 (2006). Reviewer: Hideo Yamagata (Osaka) MSC: 81Q05 35J10 58J35 PDF BibTeX XML Cite \textit{Z. Haba}, J. Phys. A, Math. Gen. 39, No. 31, 9921--9936 (2006; Zbl 1100.81016) Full Text: DOI arXiv
Cerejeiras, P.; Káhle, U.; Sommen, F. Parabolic Dirac operators and the Navier-Stokes equations over time-varying domains. (English) Zbl 1082.30039 Math. Methods Appl. Sci. 28, No. 14, 1715-1724 (2005). Reviewer: Klaus Habetha (Aachen) MSC: 30G35 35Q30 58J35 PDF BibTeX XML Cite \textit{P. Cerejeiras} et al., Math. Methods Appl. Sci. 28, No. 14, 1715--1724 (2005; Zbl 1082.30039) Full Text: DOI
Loya, Paul Dirac operators, boundary value problems, and the \(b\)-calculus. (English) Zbl 1065.58017 Booß-Bavnbek, Bernhelm (ed.) et al., Spectral geometry of manifolds with boundary and decomposition of manifolds. Proceedings of the workshop, Roskilde, Denmark, August 6–9, 2003. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3536-X/pbk). Contemporary Mathematics 366, 241-280 (2005). MSC: 58J28 58J35 58J20 58J32 PDF BibTeX XML Cite \textit{P. Loya}, Contemp. Math. 366, 241--280 (2005; Zbl 1065.58017)
Kirchberg, A.; Länge, J. D.; Wipf, A. Extended supersymmetries and the Dirac operator. (English) Zbl 1086.81048 Ann. Phys. 315, No. 2, 467-487 (2005). MSC: 81Q60 81Q05 58J35 81T20 32Q15 PDF BibTeX XML Cite \textit{A. Kirchberg} et al., Ann. Phys. 315, No. 2, 467--487 (2005; Zbl 1086.81048) Full Text: DOI arXiv
Sacchetti, Andrea Nonlinear time-dependent one-dimensional Schrödinger equation with double-well potential. (English) Zbl 1061.35138 SIAM J. Math. Anal. 35, No. 5, 1160-1176 (2004). MSC: 35Q55 81Q05 35Q40 35K55 PDF BibTeX XML Cite \textit{A. Sacchetti}, SIAM J. Math. Anal. 35, No. 5, 1160--1176 (2004; Zbl 1061.35138) Full Text: DOI arXiv
Bleecker, David; Booss-Bavnbek, Bernhelm Spectral invariants of operators of Dirac type on partitioned manifolds. (English) Zbl 1067.58017 Gil, Juan (ed.) et al., Aspects of boundary problems in analysis and geometry. Basel: Birkhäuser (ISBN 3-7643-7069-6/hbk). Operator Theory: Advances and Applications 151, 1-130 (2004). Reviewer: Peter Haskell (Blacksburg) MSC: 58J20 58J28 58J50 58J32 58J35 PDF BibTeX XML Cite \textit{D. Bleecker} and \textit{B. Booss-Bavnbek}, Oper. Theory: Adv. Appl. 151, 1--130 (2004; Zbl 1067.58017) Full Text: arXiv
Watanabe, Shuji An integral transform and its applications. (English) Zbl 1049.44006 Integral Transforms Spec. Funct. 14, No. 6, 537-549 (2003). Reviewer: Osman Yürekli (Ithaca) MSC: 44A15 42A38 47B25 35K15 35L15 81Q10 35A22 PDF BibTeX XML Cite \textit{S. Watanabe}, Integral Transforms Spec. Funct. 14, No. 6, 537--549 (2003; Zbl 1049.44006) Full Text: DOI
Gasaneo, G.; Colavecchia, F. D. Two-body Coulomb wavefunctions as kernel for alternative integral transformations. (English) Zbl 1040.81015 J. Phys. A, Math. Gen. 36, No. 31, 8443-8462 (2003). MSC: 81Q10 81V45 81Q05 44A15 34B24 PDF BibTeX XML Cite \textit{G. Gasaneo} and \textit{F. D. Colavecchia}, J. Phys. A, Math. Gen. 36, No. 31, 8443--8462 (2003; Zbl 1040.81015) Full Text: DOI Link
Lei, Yue The regularity of the eta function for perturbations of order \((\dim X)\) of the Atiyah-Patodi-Singer boundary problem. (English) Zbl 1042.58011 Commun. Partial Differ. Equations 28, No. 9-10, 1567-1596 (2003). Reviewer: Peter B. Gilkey (Eugene) MSC: 58J32 58J35 58J50 PDF BibTeX XML Cite \textit{Y. Lei}, Commun. Partial Differ. Equations 28, No. 9--10, 1567--1596 (2003; Zbl 1042.58011) Full Text: DOI
Feng, Hui Tao A note on noncommutative Chern character for Dirac operator. (Chinese. English summary) Zbl 1041.53032 Acta Math. Sin. 46, No. 1, 57-64 (2003). Reviewer: Jih-Hsin Cheng (Taipei) MSC: 53C27 58J35 PDF BibTeX XML Cite \textit{H. T. Feng}, Acta Math. Sin. 46, No. 1, 57--64 (2003; Zbl 1041.53032)
Braverman, Maxim; Milatovic, O.; Shubin, M. Essential self-adjointness of Schrödinger-type operators on manifolds. (English. Russian original) Zbl 1052.58027 Russ. Math. Surv. 57, No. 4, 641-692 (2002); translation from Usp. Mat. Nauk 57, No. 4, 3-58 (2002). Reviewer: Dian K. Palagachev (Bari) MSC: 58J35 35J10 47B25 53C20 34L40 81Q10 58B20 PDF BibTeX XML Cite \textit{M. Braverman} et al., Russ. Math. Surv. 57, No. 4, 641--692 (2002; Zbl 1052.58027); translation from Usp. Mat. Nauk 57, No. 4, 3--58 (2002) Full Text: arXiv
Kadlčáková, Lenka Dirac operator in contact symplectic parabolic geometry. (English) Zbl 1024.53021 Slovák, Jan (ed.) et al., The proceedings of the 21th winter school “Geometry and physics”, Srní, Czech Republic, January 13-20, 2001. Palermo: Circolo Matemàtico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 69, 97-107 (2002). Reviewer: D.Demetropoulou-Psomopoulou (Tessalonik MSC: 53C15 53D05 PDF BibTeX XML Cite \textit{L. Kadlčáková}, in: The proceedings of the 21st winter school ``Geometry and physics'', Srní, Czech Republic, January 13--20, 2001. Palermo: Circolo Matemàtico di Palermo. 97--107 (2002; Zbl 1024.53021)
Chung, Kai L.; Zhao, Zhongxin From Brownian motion to Schrödinger’s equation. 2nd corrected printing. (English) Zbl 1195.60002 Grundlehren der Mathematischen Wissenschaften 312. Berlin: Springer (ISBN 978-3-540-57030-1/hbk). xii, 287 p. (2001). Reviewer: René L. Schilling (Dresden) MSC: 60-02 60J65 60J45 35-02 35J25 60G40 60J25 60J35 60J55 35J05 35J08 35K05 35K15 81Q05 81Q15 81Q30 PDF BibTeX XML Cite \textit{K. L. Chung} and \textit{Z. Zhao}, From Brownian motion to Schrödinger's equation. 2nd corrected printing. Berlin: Springer (2001; Zbl 1195.60002)
Kadlčáková, Lenka Contact symplectic geometry in parabolic invariant theory and symplectic Dirac operator. (English) Zbl 1039.58017 Brackx, F. (ed.) et al., Clifford analysis and its applications. Proceedings of the NATO advanced research workshop, Prague, Czech Republic, October 30–November 3, 2000. Dordrecht: Kluwer Academic Publishers (ISBN 0-7923-7044-9/hbk; 0-7923-7045-7/pbk). NATO Sci. Ser. II, Math. Phys. Chem. 25, 103-111 (2001). Reviewer: Peter B. Gilkey (Eugene) MSC: 58J05 58J60 30G35 35A27 81R05 53C27 PDF BibTeX XML Cite \textit{L. Kadlčáková}, NATO Sci. Ser. II, Math. Phys. Chem. 25, 103--111 (2001; Zbl 1039.58017)
Carron, Gilles A relative index theorem. (Un théorème de l’indice relatif.) (French) Zbl 1083.58502 Pac. J. Math. 198, No. 1, 81-107 (2001). Reviewer: Hans-Bert Rademacher (Leipzig) MSC: 58J20 58J05 PDF BibTeX XML Cite \textit{G. Carron}, Pac. J. Math. 198, No. 1, 81--107 (2001; Zbl 1083.58502) Full Text: DOI
Driver, Bruce K.; Thalmaier, Anton Heat equation derivative formulas for vector bundles. (English) Zbl 0983.58018 J. Funct. Anal. 183, No. 1, 42-108 (2001). Reviewer: Jeffrey J.Mitchell (Waco) MSC: 58J65 58J35 60H20 PDF BibTeX XML Cite \textit{B. K. Driver} and \textit{A. Thalmaier}, J. Funct. Anal. 183, No. 1, 42--108 (2001; Zbl 0983.58018) Full Text: DOI Link
Gusev, Alexander; Samoilov, Valentin; Rostovtsev, Vitaly; Vinitsky, Sergue Symbolic algorithms of algebraic perturbation theory for a hydrogen atom: The Stark effect. (English) Zbl 0978.81018 Ganzha, Viktor G. (ed.) et al., Computer algebra in scientific computing. CASC 2000. Proceedings of the 3rd workshop, Samarkand, Uzbekistan, October 5-9, 2000. Berlin: Springer. 219-231 (2000). MSC: 81Q05 81-08 68W30 81V45 PDF BibTeX XML Cite \textit{A. Gusev} et al., in: Computer algebra in scientific computing. CASC 2000. Proceedings of the 3rd workshop, Samarkand, Uzbekistan, October 5--9, 2000. Berlin: Springer. 219--231 (2000; Zbl 0978.81018)
Habermann, Katharina Symplectic Dirac operators of Kähler manifolds. (English) Zbl 0965.58025 Math. Nachr. 211, 37-62 (2000). Reviewer: Sebastian Goette (Tübingen) MSC: 58J50 53C55 35P15 35K05 58J35 58J05 53D50 53C35 PDF BibTeX XML Cite \textit{K. Habermann}, Math. Nachr. 211, 37--62 (2000; Zbl 0965.58025) Full Text: DOI
Its, A. R.; Slavnov, N. A. On the Riemann-Hilbert approach to asymptotic analysis of the correlation functions of the quantum nonlinear Schrödinger equation: Interacting fermion case. (English. Russian original) Zbl 0991.81016 Theor. Math. Phys. 119, No. 2, 541-593 (1999); translation from Teor. Mat. Fiz. 119, No. 2, 179-248 (1999). MSC: 81Q05 81-02 35Q55 30E25 47N50 PDF BibTeX XML Cite \textit{A. R. Its} and \textit{N. A. Slavnov}, Theor. Math. Phys. 119, No. 2, 541--593 (1999; Zbl 0991.81016); translation from Teor. Mat. Fiz. 119, No. 2, 179--248 (1999) Full Text: DOI arXiv
Heitsch, James L.; Lazarov, Connor A general families index theorem. (English) Zbl 0938.58021 \(K\)-Theory 18, No. 2, 181-202 (1999). Reviewer: Peter Haskell (Blacksburg) MSC: 58J22 19K56 58J35 58J20 19L10 PDF BibTeX XML Cite \textit{J. L. Heitsch} and \textit{C. Lazarov}, \(K\)-Theory 18, No. 2, 181--202 (1999; Zbl 0938.58021) Full Text: DOI
Salomonsen, Gorm Geometric heat kernel coefficients for APS-type boundary conditions. (English) Zbl 1010.58017 Journées “Équations aux dérivées partielles”, 2 au 5 juin 1998, Saint-Jean-de-Monts, France, Exposés Nos. I-XV. Nantes: Université de Nantes. Exp. No. 11, 19 p. (1998). MSC: 58J20 58J35 PDF BibTeX XML Cite \textit{G. Salomonsen}, in: Journées ``Équations aux dérivées partielles'', 2 au 5 juin 1998, Saint-Jean-de-Monts, France, Exposés Nos. I-XV. Nantes: Université de Nantes. Exp. No. 11, 19 p. (1998; Zbl 1010.58017) Full Text: Numdam EuDML
Roe, John Elliptic operators, topology and asymptotic methods. 2nd ed. (English) Zbl 0919.58060 Pitman Research Notes in Mathematics Series. 395. Harlow: Longman. 209 p. (1998). Reviewer: H.Schröder (Dortmund) MSC: 58J20 58-02 58A30 58A10 58A14 58J35 58C50 PDF BibTeX XML Cite \textit{J. Roe}, Elliptic operators, topology and asymptotic methods. 2nd ed. Harlow: Longman (1998; Zbl 0919.58060)
Esposito, Giampiero Dirac operators and spectral geometry. (English) Zbl 0931.58016 Cambridge Lecture Notes in Physics. 12. Cambridge: Cambridge University Press. xiii, 209 p. £19.95; $ 34.95 (1998). Reviewer: H.-B.Rademacher (Leipzig) MSC: 58J50 58-02 58J35 58J20 PDF BibTeX XML Cite \textit{G. Esposito}, Dirac operators and spectral geometry. Cambridge: Cambridge University Press (1998; Zbl 0931.58016) Full Text: arXiv
Booss-Bavnbek, B.; Scott, S. G.; Wojciechowski, K. P. The \(\zeta\)-determinant and \({\mathcal C}\)-determinant on the Grassmannian in dimension one. (English) Zbl 0920.58060 Lett. Math. Phys. 45, No. 4, 353-362 (1998). Reviewer: M.Puta (Timişoara) MSC: 58J52 57R90 35J55 35S35 58J35 58J50 PDF BibTeX XML Cite \textit{B. Booss-Bavnbek} et al., Lett. Math. Phys. 45, No. 4, 353--362 (1998; Zbl 0920.58060) Full Text: DOI
Lesch, Matthias Determinats of regular singular Sturm-Liouville operators. (English) Zbl 0924.58107 Math. Nachr. 194, 139-170 (1998). MSC: 58J52 34B24 58J35 34L40 PDF BibTeX XML Cite \textit{M. Lesch}, Math. Nachr. 194, 139--170 (1998; Zbl 0924.58107) Full Text: DOI arXiv
Amirov, R. Kh.; Çakmak, Y. Trace formula for the Sturm-Liouville operator with singularity. (English) Zbl 0957.34077 Bainov, D. (ed.), Proceedings of the 8th international colloquium on differential equations, Plovdiv, Bulgaria, August 18-23, 1997. Utrecht: VSP. 9-16 (1998). MSC: 34L40 34B24 34L05 35J10 35J40 35K35 PDF BibTeX XML Cite \textit{R. Kh. Amirov} and \textit{Y. Çakmak}, in: Proceedings of the 8th international colloquium on differential equations, Plovdiv, Bulgaria, August 18--23, 1997. Utrecht: VSP. 9--16 (1998; Zbl 0957.34077)
Mazzeo, R. R.; Melrose, R. B. Analytic surgery and the eta invariant. (English) Zbl 0838.57022 Geom. Funct. Anal. 5, No. 1, 14-75 (1995). Reviewer: R.E.Stong (Charlottesville) MSC: 57R57 58J35 PDF BibTeX XML Cite \textit{R. R. Mazzeo} and \textit{R. B. Melrose}, Geom. Funct. Anal. 5, No. 1, 14--75 (1995; Zbl 0838.57022) Full Text: DOI EuDML
Wojciechowski, Krzysztof P. The additivity of the \(\eta\)-invariant: The case of an invertible tangential operator. (English) Zbl 0816.58036 Houston J. Math. 20, No. 4, 603-621 (1994). Reviewer: G.E.Karadzhov (Los Angeles) MSC: 58J35 58J50 57R90 35J55 PDF BibTeX XML Cite \textit{K. P. Wojciechowski}, Houston J. Math. 20, No. 4, 603--621 (1994; Zbl 0816.58036)
Melrose, Richard B. The Atiyah-Patodi-Singer index theorem. (English) Zbl 0796.58050 Research Notes in Mathematics 4. Wellesley, MA: A. K. Peters, Ltd. (ISBN 1-56881-002-4/hbk). xiv, 377 p. (1993). Reviewer: Th.Friedrich (Berlin) MSC: 58J20 58J35 58J40 PDF BibTeX XML Cite \textit{R. B. Melrose}, The Atiyah-Patodi-Singer index theorem. Wellesley, MA: A. K. Peters, Ltd. (1993; Zbl 0796.58050)
Gilkey, Peter B. Heat equation asymptotics. (English) Zbl 0791.58092 Greene, Robert (ed.) et al., Differential geometry. Part 3: Riemannian geometry. Proceedings of a summer research institute, held at the University of California, Los Angeles, CA, USA, July 8-28, 1990. Providence, RI: American Mathematical Society. Proc. Symp. Pure Math. 54, Part 3, 317-326 (1993). Reviewer: M.Puta (Timişoara) MSC: 58J37 58J50 58J35 PDF BibTeX XML Cite \textit{P. B. Gilkey}, Proc. Symp. Pure Math. 54, 317--326 (1993; Zbl 0791.58092)
Salamanca-Riba, Susana A. On the unitary dual of the classical Lie groups. II: Representations of \(SO(n,m)\) inside the dominant Weyl chamber. (English) Zbl 0782.22010 Compos. Math. 86, No. 2, 127-146 (1993). Reviewer: J.Schwermer (Eichstätt) MSC: 22E46 22E30 22E15 PDF BibTeX XML Cite \textit{S. A. Salamanca-Riba}, Compos. Math. 86, No. 2, 127--146 (1993; Zbl 0782.22010) Full Text: Numdam EuDML
Branson, Thomas P.; Gilkey, Peter B. Residues of the eta function for an operator of Dirac type. (English) Zbl 0756.58048 J. Funct. Anal. 108, No. 1, 47-87 (1992). Reviewer: Yu.E.Gliklikh (Voronezh) MSC: 58J37 58J35 PDF BibTeX XML Cite \textit{T. P. Branson} and \textit{P. B. Gilkey}, J. Funct. Anal. 108, No. 1, 47--87 (1992; Zbl 0756.58048) Full Text: DOI
Gilkey, Peter B. Variational properties of heat equation invariants for operators of Dirac type. (English) Zbl 0786.53023 Seminars on Geometry. Meet. Topol. Geom. Manifolds, Bologna/Italy 1990, 17-38 (1992). Reviewer: H.Baum (Berlin) MSC: 53C20 58J35 PDF BibTeX XML Cite \textit{P. B. Gilkey}, in: Seminari di geometria. Giornate di topologiae e geometria delle varietà, Bologna, Italia, 27 al 29 settembre, 1990. Bologna: Università degli Studi di Bologna, Dipartimento di Matematica. 17--38 (1992; Zbl 0786.53023)
Antoine, Michel; Comtet, Alain; Knecht, Marc Heat kernel expansion for fermionic billiards in an external magnetic field. (English) Zbl 0719.58045 J. Phys. A, Math. Gen. 23, No. 1, L35-L41 (1990). MSC: 58Z05 81T20 53C80 58J35 83C60 35K05 PDF BibTeX XML Cite \textit{M. Antoine} et al., J. Phys. A, Math. Gen. 23, No. 1, L35--L41 (1990; Zbl 0719.58045) Full Text: DOI
Bismut, Jean-Michel; Cheeger, Jeff Families index for manifolds with boundary, superconnections and cones. II: The Chern character. (English) Zbl 0711.53023 J. Funct. Anal. 90, No. 2, 306-354 (1990). Reviewer: A.Bejancu MSC: 53C05 58J35 58J20 PDF BibTeX XML Cite \textit{J.-M. Bismut} and \textit{J. Cheeger}, J. Funct. Anal. 90, No. 2, 306--354 (1990; Zbl 0711.53023) Full Text: DOI
Farina, J. E. G.; Mosley, S. N. The asymptotic localization of position probability in quantum mechanics. (English) Zbl 0711.35103 J. Math. Phys. 31, No. 6, 1435-1440 (1990). MSC: 35Q40 81Q05 35G10 35K25 PDF BibTeX XML Cite \textit{J. E. G. Farina} and \textit{S. N. Mosley}, J. Math. Phys. 31, No. 6, 1435--1440 (1990; Zbl 0711.35103) Full Text: DOI
Chou, Arthur W. Criteria for self-adjointness of the Dirac operator on pseudomanifolds. (English) Zbl 0685.58031 Proc. Am. Math. Soc. 106, No. 4, 1107-1116 (1989). Reviewer: B.Helffer MSC: 58J35 58J22 58J50 53C20 PDF BibTeX XML Cite \textit{A. W. Chou}, Proc. Am. Math. Soc. 106, No. 4, 1107--1116 (1989; Zbl 0685.58031) Full Text: DOI
Yajima, S. Evaluation of heat kernels in curved space. (English) Zbl 0694.35199 Classical Quantum Gravity 5, No. 12, L207-L211 (1988). MSC: 35Q99 58J35 35B40 PDF BibTeX XML Cite \textit{S. Yajima}, Classical Quantum Gravity 5, No. 12, L207--L211 (1988; Zbl 0694.35199) Full Text: DOI
Baum, Helga 1-forms over the moduli space of irreducible connections defined by the spectrum of Dirac operators. (English) Zbl 0666.53015 J. Geom. Phys. 4, No. 4, 503-521 (1987). Reviewer: M.K.Murray MSC: 53C05 58J50 58J35 PDF BibTeX XML Cite \textit{H. Baum}, J. Geom. Phys. 4, No. 4, 503--521 (1987; Zbl 0666.53015) Full Text: DOI
St. Mary, Donald F.; Lee, Ding; Botseas, George A modified wide angle parabolic wave equation. (English) Zbl 0616.65093 J. Comput. Phys. 71, 304-315 (1987). MSC: 65N12 35K20 81Q05 35J05 PDF BibTeX XML Cite \textit{D. F. St. Mary} et al., J. Comput. Phys. 71, 304--315 (1987; Zbl 0616.65093) Full Text: DOI
Olver, Peter J. Dirac’s theory of constraints in field theory and the canonical form of Hamiltonian differential operators. (English) Zbl 0609.70010 J. Math. Phys. 27, 2495-2501 (1986). Reviewer: Şt.Zanfir MSC: 70G10 70H05 35G10 35K25 PDF BibTeX XML Cite \textit{P. J. Olver}, J. Math. Phys. 27, 2495--2501 (1986; Zbl 0609.70010) Full Text: DOI
Burdet, G.; Perrin, M. Exact solutions of the nonlinear Schrödinger equation in time-dependent parabolic density profiles. (English) Zbl 0598.35107 Lett. Math. Phys. 11, 147-152 (1986). Reviewer: D.Robert MSC: 35Q99 35J10 35C05 81Q05 PDF BibTeX XML Cite \textit{G. Burdet} and \textit{M. Perrin}, Lett. Math. Phys. 11, 147--152 (1986; Zbl 0598.35107) Full Text: DOI
Berline, Nicole; Vergne, Michèle A computation of the equivariant index of the Dirac operator. (English) Zbl 0592.58044 Bull. Soc. Math. Fr. 113, 305-345 (1985). Reviewer: G.Warnecke MSC: 58J20 58J35 81T20 PDF BibTeX XML Cite \textit{N. Berline} and \textit{M. Vergne}, Bull. Soc. Math. Fr. 113, 305--345 (1985; Zbl 0592.58044) Full Text: DOI Numdam EuDML
Bismut, J. M. Formules de Lefschetz délocalisées. (French) Zbl 0589.58026 Sémin. Bony-Sjöstrand-Meyer, Équations Dériv. Partielles 1984-1985, Exp. No. 7, 12 p. (1985). MSC: 58J20 57R22 58J35 58J65 PDF BibTeX XML Full Text: Numdam EuDML
Bismut, Jean-Michel The infinitesimal Lefschetz formulas: A heat equation proof. (English) Zbl 0572.58021 J. Funct. Anal. 62, 435-457 (1985). Reviewer: G.Warnecke MSC: 58J35 57R22 57M99 PDF BibTeX XML Cite \textit{J.-M. Bismut}, J. Funct. Anal. 62, 435--457 (1985; Zbl 0572.58021) Full Text: DOI
Chou, Arthur Weichung The Dirac operator on spaces with conical singularities and positive scalar curvatures. (English) Zbl 0559.58024 Trans. Am. Math. Soc. 289, 1-40 (1985). MSC: 58J35 58J50 53C20 58J22 PDF BibTeX XML Cite \textit{A. W. Chou}, Trans. Am. Math. Soc. 289, 1--40 (1985; Zbl 0559.58024) Full Text: DOI
Berline, Nicole; Vergne, Michèle Un calcul de l’indice équivariant de l’opérateur de Dirac par la méthode de la chaleur. (A computation of the equivariant index of the Dirac operator by the heat method). (French) Zbl 0566.58033 C. R. Acad. Sci., Paris, Sér. I 299, 511-514 (1984). MSC: 58J20 58J35 PDF BibTeX XML Cite \textit{N. Berline} and \textit{M. Vergne}, C. R. Acad. Sci., Paris, Sér. I 299, 511--514 (1984; Zbl 0566.58033)
Kulish, P. P.; Reyman, A. G. Hierarchy of symplectic forms for the Schrödinger and the Dirac equations on a line. (English) Zbl 0511.35072 J. Sov. Math. 22, 1627-1637 (1983). MSC: 35Q53 35J10 35G10 35K25 35L65 35P25 53C15 PDF BibTeX XML Cite \textit{P. P. Kulish} and \textit{A. G. Reyman}, J. Sov. Math. 22, 1627--1637 (1983; Zbl 0511.35072) Full Text: DOI
Li, Ta-tsien [Damlamian, A.] Comportements limites des solutions de certains problèmes mixtes pour des équations paraboliques et leurs applications. (French) Zbl 0475.35055 Journ. Équ. Dériv. Partielles, Saint-Jean-de-Monts 1980, Exp. No. 13, 2 p. (1980). MSC: 35K20 35A35 49J20 35D05 PDF BibTeX XML Full Text: Numdam EuDML
Dlubek, Helga; Friedrich, Thomas Spektraleigenschaften des Dirac-Operators - die Fundamentallösung seiner Wärmeleitungsgleichung und die Asymptotenentwicklung der Zeta-Funktion. (German) Zbl 0442.58030 J. Differ. Geom. 15, 1-26 (1980). MSC: 58J50 53C21 57N65 58J35 PDF BibTeX XML Cite \textit{H. Dlubek} and \textit{T. Friedrich}, J. Differ. Geom. 15, 1--26 (1980; Zbl 0442.58030) Full Text: DOI