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Author ID: kirsten.klaus Recent zbMATH articles by "Kirsten, Klaus"
Published as: Kirsten, Klaus; Kirsten, K.
Homepage: https://www.baylor.edu/math/index.php?id=54012
External Links: MGP · ORCID · Google Scholar · dblp · GND
Documents Indexed: 123 Publications since 1991, including 1 Book
1 Contribution as Editor
Reviewing Activity: 24 Reviews
Co-Authors: 64 Co-Authors with 112 Joint Publications
1,342 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

98 Publications have been cited 635 times in 323 Documents Cited by Year
Spectral functions in mathematics and physics. Zbl 1007.58015
Kirsten, Klaus
46
2002
Heat kernel coefficients of the Laplace operator on the \(D\)-dimensional ball. Zbl 0862.58049
Bordag, M.; Elizalde, E.; Kirsten, K.
42
1996
Heat-kernels and functional determinants on the generalized cone. Zbl 0872.58065
Bordag, Michael; Kirsten, Klaus; Dowker, J. Stuart
38
1996
Zeta function determinant of the Laplace operator on the \(D\)-dimensional ball. Zbl 0864.58060
Bordag, M.; Geyer, B.; Kirsten, K.; Elizalde, E.
33
1996
Functional determinants by contour integration methods. Zbl 1051.58014
Kirsten, Klaus; McKane, Alan J.
29
2003
Functional determinants for general Sturm-Liouville problems. Zbl 1064.34016
Kirsten, Klaus; McKane, Alan J.
25
2004
Casimir energy for a massive fermionic quantum field with a spherical boundary. Zbl 0907.47059
Elizalde, E.; Bordag, M.; Kirsten, K.
25
1998
Heat kernel asymptotics with mixed boundary conditions. Zbl 0955.58021
Branson, Thomas P.; Gilkey, Peter B.; Kirsten, Klaus; Vassilevich, Dmitri V.
17
1999
Generalized multidimensional Epstein zeta functions. Zbl 0802.11034
Kirsten, Klaus
13
1994
Exotic expansions and pathological properties of \(\zeta\)-functions on conic manifolds. Zbl 1154.58016
Kirsten, Klaus; Loya, Paul; Park, Jinsung
12
2008
The \(a_5\) heat kernel coefficient on a manifold with boundary. Zbl 0914.58035
Kirsten, Klaus
11
1998
Casimir effect at finite temperature. Zbl 0752.58039
Kirsten, Klaus
10
1991
Spectral functions in mathematics and physics. Zbl 1162.58303
Kirsten, Klaus
10
1999
Heat content asymptotics for Riemannian manifolds with Zaremba boundary conditions. Zbl 1114.58022
van den Berg, M.; Gilkey, P.; Kirsten, K.; Kozlov, V. A.
10
2007
The very unusual properties of the resolvent, heat kernel, and zeta function for the operator \(-d^{2}/dr^{ 2}-1/(4r^{ 2})\). Zbl 1111.58025
Kirsten, Klaus; Loya, Paul; Park, Jinsung
10
2006
Heat trace asymptotics with transmittal boundary conditions and quantum brane-world scenario. Zbl 1097.58504
Gilkey, Peter B.; Kirsten, Klaus; Vassilevich, Dmitri V.
9
2001
Inhomogeneous multidimensional Epstein zeta functions. Zbl 0753.11032
Kirsten, Klaus
9
1991
Functional determinants for general self-adjoint extensions of Laplace-type operators resulting from the generalized cone. Zbl 1142.58017
Kirsten, Klaus; Loya, Paul; Park, Jinsung
9
2008
The spectral zeta function for Laplace operators on warped product manifolds of the type \(I \times _{f } N\). Zbl 1272.58016
Fucci, Guglielmo; Kirsten, Klaus
8
2013
The Casimir effect for conical pistons. Zbl 1301.81258
Fucci, Guglielmo; Kirsten, Klaus
8
2011
Functional determinants for radial operators. Zbl 1100.81023
Dunne, Gerald V.; Kirsten, Klaus
8
2006
Topological gauge field mass generation by toroidal spacetime. Zbl 0792.53068
Kirsten, Klaus
7
1993
Topological symmetry breaking in self-interacting theories on toroidal space-time. Zbl 0799.58089
Elizalde, Emilio; Kirsten, Klaus
7
1994
Casimir energies for spherically symmetric cavities. Zbl 1012.81041
Cognola, Guido; Elizalde, Emilio; Kirsten, Klaus
7
2001
Spinors and forms on the ball and the generalized cone. Zbl 0945.58022
Dowker, J. S.; Kirsten, Klaus
7
1999
The \(a_{3/2}\) heat kernel coefficient for oblique boundary conditions. Zbl 0939.58028
Dowker, J. S.; Kirsten, Klaus
7
1999
Conical Casimir pistons with hybrid boundary conditions. Zbl 1222.81262
Fucci, Guglielmo; Kirsten, Klaus
7
2011
The Burghelea-Friedlander-Kappeler-gluing formula for zeta-determinants on a warped product manifold and a product manifold. Zbl 1334.58022
Kirsten, Klaus; Lee, Yoonweon
7
2015
Casimir effect in the presence of external fields. Zbl 1268.81136
Beauregard, Matthew; Fucci, Guglielmo; Kirsten, Klaus; Morales, Pedro
6
2013
Pistons modelled by potentials. Zbl 1251.81084
Fucci, Guglielmo; Kirsten, Klaus; Morales, Pedro
6
2011
Constructing analytical solutions of linear perturbations of inflation with modified dispersion relations. Zbl 1297.83066
Zhu, Tao; Wang, Anzhong; Cleaver, Gerald; Kirsten, Klaus; Sheng, Qin
6
2014
Effective computation of traces, determinants, and \(\zeta\)-functions for Sturm-Liouville operators. Zbl 06988448
Gesztesy, Fritz; Kirsten, Klaus
6
2019
The Barnes \(\zeta\)-function, sphere determinants and Glaisher-Kinkelin-Bendersky constants. Zbl 1086.11040
Dowker, J. S.; Kirsten, Klaus
5
2005
Heat content asymptotics with transmittal and transmission boundary conditions. Zbl 1051.58012
Gilkey, P. B.; Kirsten, K.
5
2003
Duality symmetry of the \(p\)-form effective action and supertrace of the twisted de Rham complex. Zbl 1005.81081
Gilkey, P.; Kirsten, K.; Vassilevich, D.; Zelnikov, A.
5
2003
Bose-Einstein condensation on product manifolds. Zbl 1226.82015
Fucci, Guglielmo; Kirsten, Klaus
5
2011
Functional determinants in higher dimensions using contour integrals. Zbl 1208.81081
Kirsten, Klaus
5
2010
Heat kernel coefficients for Laplace operators on the spherical suspension. Zbl 1252.58012
Fucci, Guglielmo; Kirsten, Klaus
5
2012
A window into zeta and modular physics. Zbl 1195.11005
5
2010
Hardy inequality and heat semigroup estimates for Riemannian manifolds with singular data. Zbl 1251.58009
van den Berg, M.; Gilkey, Peter B.; Grigor’yan, A.; Kirsten, K.
5
2012
The polynomial associated with the BFK-gluing formula of the zeta-determinant on a compact warped product manifold. Zbl 1409.58015
Kirsten, Klaus; Lee, Yoonweon
5
2018
Heat trace asymptotics with singular weight functions. Zbl 1237.58028
van den Berg, Michiel; Gilkey, Peter B.; Kirsten, Klaus; Seeley, Robert T.
4
2009
Effective actions on squashed lens spaces. Zbl 0976.83052
De Francia, Marcelo; Kirsten, Klaus; Dowker, J. S.
4
2001
Spectral invariants for the Dirac equation on the \(d\)-ball with various boundary conditions. Zbl 0860.58042
Dowker, J. S.; Apps, J. S.; Kirsten, K.; Bordag, M.
4
1996
Spectral asymptotics of Euclidean quantum gravity with diff-invariant boundary conditions. Zbl 1070.83010
Esposito, Giampiero; Fucci, Guglielmo; Kamenshchik, Alexander Yu; Kirsten, Klaus
4
2005
Strong ellipticity and spectral properties of chiral bag boundary conditions. Zbl 1079.58022
Beneventano, C. G.; Gilkey, P. B.; Kirsten, K.; Santangelo, E. M.
4
2003
Heat trace asymptotics defined by transfer boundary conditions. Zbl 1044.58034
Gilkey, Peter; Kirsten, Klaus; Vassilevich, Dmitri
4
2003
On properties of the asymptotic expansion of the heat trace for the N/D problem. Zbl 1111.58301
Dowker, J. S.; Kirsten, K.; Gilkey, P. B.
4
2001
The Casimir effect for generalized piston geometries. Zbl 1247.81446
Fucci, Guglielmo; Kirsten, Klaus
4
2012
Condensate fluctuations in trapped Bose gases: Canonical vs. microcanonical le. Zbl 0966.82001
Holthaus, Martin; Kalinowski, Eva; Kirsten, Klaus
4
1998
Zeta functions of the Dirac operator on quantum graphs. Zbl 1349.81101
Harrison, Jon M.; Weyand, T.; Kirsten, K.
4
2016
QFT over the finite line. Heat kernel coefficients, spectral zeta functions and selfadjoint extensions. Zbl 1325.81114
Muñoz-Castañeda, Jose M.; Kirsten, Klaus; Bordag, Michael
4
2015
The BFK-gluing formula and relative determinants on manifolds with cusps. Zbl 1364.58010
Kirsten, Klaus; Lee, Yoonweon
4
2017
Elliptic functions and temperature inversion symmetry on spheres. Zbl 0997.81114
Dowker, J. S.; Kirsten, Klaus
4
2002
Zeta functions of Dirac and Laplace-type operators over finite cylinders. Zbl 1107.81022
Kirsten, Klaus; Loya, Paul; Park, Jinsung
4
2006
Spectral determinants and zeta functions of Schrödinger operators on metric graphs. Zbl 1245.81034
Harrison, Jon M.; Kirsten, K.; Texier, C.
4
2012
Applications of the Mellin-Barnes integral representation. Zbl 1071.33501
Elizalde, E.; Kirsten, K.; Zerbini, S.
3
1995
Heat-kernel coefficients for oblique boundary conditions. Zbl 0883.58040
Dowker, J. S.; Kirsten, Klaus
3
1997
Heat kernel coefficients for chiral bag boundary conditions. Zbl 1060.58016
Esposito, Giampiero; Gilkey, Peter; Kirsten, Klaus
3
2005
Zeta functions of quantum graphs. Zbl 1219.81134
Harrison, Jon M.; Kirsten, K.
3
2011
Basic zeta functions and some applications in physics. Zbl 1234.11120
Kirsten, Klaus
3
2010
Zeta function on surfaces of revolution. Zbl 1273.35193
Jeffres, Thalia D.; Kirsten, Klaus; Lu, Tianshi
3
2012
Small mass expansion of functional determinants on the generalized cone. Zbl 1196.81165
Fucci, Guglielmo; Kirsten, Klaus
3
2010
Local and global Casimir energies for a semitransparent cylindrical shell. Zbl 1113.81092
Cavero-Peláez, Inés; Milton, Kimball A.; Kirsten, Klaus
3
2007
Spectral functions for regular Sturm-Liouville problems. Zbl 1317.30060
Fucci, Guglielmo; Graham, Curtis; Kirsten, Klaus
3
2015
Stability theorems for chiral bag boundary conditions. Zbl 1114.58013
Gilkey, P.; Kirsten, K.
3
2005
The BFK-gluing formula and the curvature tensors on a 2-dimensional compact hypersurface. Zbl 1476.58034
Kirsten, Klaus; Lee, Yoonweon
2
2020
Self-interacting scalar fields on space-time with compact hyperbolic spatial part. Zbl 1021.81690
Bytsenko, Andrei; Kirsten, Klaus; Odintsov, Sergei
2
1993
Divergencies in the Casimir energy for a medium with realistic ultraviolet behaviour. Zbl 0990.81793
Falomir, H.; Kirsten, K.; Rébora, K.
2
2001
Smeared heat-kernel coefficients on the ball and generalized cone. Zbl 1011.58015
Dowker, J. S.; Kirsten, Klaus
2
2001
Divergence terms in the supertrace heat asymptotics for the de Rham complex on a manifold with boundary. Zbl 1083.58028
Gilkey, P.; Kirsten, K.; Vassilevich, D.
2
2004
On the ground state energy for a dielectric ball. Zbl 1031.81564
Bordag, Michael; Kirsten, Klaus; Vassilevich, Dmitri
2
1999
Growth of heat trace and heat content asymptotic coefficients. Zbl 1238.58017
van den Berg, M.; Gilkey, Peter; Kirsten, K.
2
2011
Functional determinants and Casimir energy in higher dimensional spherically symmetric background potentials. Zbl 1344.81136
Fucci, Guglielmo; Kirsten, Klaus
2
2016
Casimir energies in spherically symmetric background potentials revisited. Zbl 1310.81139
Beauregard, Matthew; Bordag, Michael; Kirsten, Klaus
2
2015
Vacuum stress and closed paths in rectangles, pistons and pistols. Zbl 1162.81027
Fulling, S. A.; Kaplan, L.; Kirsten, K.; Liu, Z. H.; Milton, K. A.
2
2009
Connections between Kelvin functions and zeta functions with applications. Zbl 0778.11049
Kirsten, K.
2
1992
Spectral functions for the Schrödinger operator on \(\mathbb{R}^+\) with a singular potential. Zbl 1310.34117
Kirsten, Klaus; Loya, Paul
2
2010
Spectral asymmetry on the ball and asymptotics of the asymmetry kernel. Zbl 1118.81029
Kirchberg, A.; Kirsten, K.; Santangelo, E. M.; Wipf, A.
2
2006
Gluing formula for Casimir energies. Zbl 1390.81553
Kirsten, Klaus; Lee, Yoonweon
1
2018
On traces and modified Fredholm determinants for half-line Schrödinger operators with purely discrete spectra. Zbl 07070224
Gesztesy, Fritz; Kirsten, Klaus
1
2019
General moment theorems for nondistinct unrestricted partitions. Zbl 1200.11079
Coons, Michael; Kirsten, Klaus
1
2009
Heat asymptotics with spectral boundary conditions. Zbl 0964.58023
Dowker, J. Stuart; Gilkey, Peter; Kirsten, Klaus
1
1999
Are \(p\)-branes asymptotically black holes? Zbl 1020.83661
Bytsenko, Andrei; Kirsten, Klaus; Zerbini, Sergio
1
1994
Heat-kernel coefficients and functional determinants for higher-spin fields on the ball. Zbl 0846.58058
Kirsten, Klaus; Cognola, Guido
1
1996
Heat content asymptotics for operators of Laplace type with spectral boundary conditions. Zbl 1135.58302
Gilkey, P.; Kirsten, K.; Park, J. H.
1
2004
Eta invariants with spectral boundary conditions. Zbl 1083.58027
Gilkey, P.; Kirsten, K.; Park, J.-H.
1
2005
Introduction. Zbl 1206.00039
Kirsten, Klaus; Williams, Floyd L.
1
2010
Heat trace asymptotics and the Gauss-Bonnet theorem for general connections. Zbl 1255.58009
Beneventano, C. G.; Gilkey, P.; Kirsten, K.; Santangelo, E. M.
1
2012
Path-integral quantization of electrodynamics in dielectric media. Zbl 0946.81043
Bordag, M.; Kirsten, K.; Vassilevich, D. V.
1
1998
Semitransparent pistons. Zbl 1193.81102
Morales, P.; Kirsten, K.
1
2010
Analytic continuation of the doubly-periodic Barnes zeta function. Zbl 1329.30005
Fucci, Guglielmo; Kirsten, Klaus
1
2013
Zeta functions on tori using contour integration. Zbl 1352.11086
Elizalde, Emilio; Kirsten, Klaus; Robles, Nicolas; Williams, Floyd
1
2015
Elliptic aspects of statistical mechanics on spheres. Zbl 1159.81317
Dowker, J. S.; Kirsten, Klaus
1
2008
Functional determinants for Laplacians on annuli and elliptical regions. Zbl 1390.35056
Graham, Curtis; Kirsten, Klaus; Morales-Almazan, Pedro; Streit, Brian Quantz
1
2018
Some new results for the one-loop mass correction to the compactified \(\lambda\phi^4\) theory. Zbl 1384.81066
Fucci, Guglielmo; Kirsten, Klaus
1
2018
Expansion of infinite series containing modified Bessel functions of the second kind. Zbl 1326.81122
Fucci, Guglielmo; Kirsten, Klaus
1
2015
Heat content asymptotics for oblique boundary conditions. Zbl 1009.58018
Gilkey, Peter; Kirsten, Klaus; Park, Jeonghyeong
1
2002
The BFK-gluing formula and the curvature tensors on a 2-dimensional compact hypersurface. Zbl 1476.58034
Kirsten, Klaus; Lee, Yoonweon
2
2020
Effective computation of traces, determinants, and \(\zeta\)-functions for Sturm-Liouville operators. Zbl 06988448
Gesztesy, Fritz; Kirsten, Klaus
6
2019
On traces and modified Fredholm determinants for half-line Schrödinger operators with purely discrete spectra. Zbl 07070224
Gesztesy, Fritz; Kirsten, Klaus
1
2019
The polynomial associated with the BFK-gluing formula of the zeta-determinant on a compact warped product manifold. Zbl 1409.58015
Kirsten, Klaus; Lee, Yoonweon
5
2018
Gluing formula for Casimir energies. Zbl 1390.81553
Kirsten, Klaus; Lee, Yoonweon
1
2018
Functional determinants for Laplacians on annuli and elliptical regions. Zbl 1390.35056
Graham, Curtis; Kirsten, Klaus; Morales-Almazan, Pedro; Streit, Brian Quantz
1
2018
Some new results for the one-loop mass correction to the compactified \(\lambda\phi^4\) theory. Zbl 1384.81066
Fucci, Guglielmo; Kirsten, Klaus
1
2018
The BFK-gluing formula and relative determinants on manifolds with cusps. Zbl 1364.58010
Kirsten, Klaus; Lee, Yoonweon
4
2017
Zeta functions of the Dirac operator on quantum graphs. Zbl 1349.81101
Harrison, Jon M.; Weyand, T.; Kirsten, K.
4
2016
Functional determinants and Casimir energy in higher dimensional spherically symmetric background potentials. Zbl 1344.81136
Fucci, Guglielmo; Kirsten, Klaus
2
2016
The Burghelea-Friedlander-Kappeler-gluing formula for zeta-determinants on a warped product manifold and a product manifold. Zbl 1334.58022
Kirsten, Klaus; Lee, Yoonweon
7
2015
QFT over the finite line. Heat kernel coefficients, spectral zeta functions and selfadjoint extensions. Zbl 1325.81114
Muñoz-Castañeda, Jose M.; Kirsten, Klaus; Bordag, Michael
4
2015
Spectral functions for regular Sturm-Liouville problems. Zbl 1317.30060
Fucci, Guglielmo; Graham, Curtis; Kirsten, Klaus
3
2015
Casimir energies in spherically symmetric background potentials revisited. Zbl 1310.81139
Beauregard, Matthew; Bordag, Michael; Kirsten, Klaus
2
2015
Zeta functions on tori using contour integration. Zbl 1352.11086
Elizalde, Emilio; Kirsten, Klaus; Robles, Nicolas; Williams, Floyd
1
2015
Expansion of infinite series containing modified Bessel functions of the second kind. Zbl 1326.81122
Fucci, Guglielmo; Kirsten, Klaus
1
2015
Constructing analytical solutions of linear perturbations of inflation with modified dispersion relations. Zbl 1297.83066
Zhu, Tao; Wang, Anzhong; Cleaver, Gerald; Kirsten, Klaus; Sheng, Qin
6
2014
The spectral zeta function for Laplace operators on warped product manifolds of the type \(I \times _{f } N\). Zbl 1272.58016
Fucci, Guglielmo; Kirsten, Klaus
8
2013
Casimir effect in the presence of external fields. Zbl 1268.81136
Beauregard, Matthew; Fucci, Guglielmo; Kirsten, Klaus; Morales, Pedro
6
2013
Analytic continuation of the doubly-periodic Barnes zeta function. Zbl 1329.30005
Fucci, Guglielmo; Kirsten, Klaus
1
2013
Heat kernel coefficients for Laplace operators on the spherical suspension. Zbl 1252.58012
Fucci, Guglielmo; Kirsten, Klaus
5
2012
Hardy inequality and heat semigroup estimates for Riemannian manifolds with singular data. Zbl 1251.58009
van den Berg, M.; Gilkey, Peter B.; Grigor’yan, A.; Kirsten, K.
5
2012
The Casimir effect for generalized piston geometries. Zbl 1247.81446
Fucci, Guglielmo; Kirsten, Klaus
4
2012
Spectral determinants and zeta functions of Schrödinger operators on metric graphs. Zbl 1245.81034
Harrison, Jon M.; Kirsten, K.; Texier, C.
4
2012
Zeta function on surfaces of revolution. Zbl 1273.35193
Jeffres, Thalia D.; Kirsten, Klaus; Lu, Tianshi
3
2012
Heat trace asymptotics and the Gauss-Bonnet theorem for general connections. Zbl 1255.58009
Beneventano, C. G.; Gilkey, P.; Kirsten, K.; Santangelo, E. M.
1
2012
The Casimir effect for conical pistons. Zbl 1301.81258
Fucci, Guglielmo; Kirsten, Klaus
8
2011
Conical Casimir pistons with hybrid boundary conditions. Zbl 1222.81262
Fucci, Guglielmo; Kirsten, Klaus
7
2011
Pistons modelled by potentials. Zbl 1251.81084
Fucci, Guglielmo; Kirsten, Klaus; Morales, Pedro
6
2011
Bose-Einstein condensation on product manifolds. Zbl 1226.82015
Fucci, Guglielmo; Kirsten, Klaus
5
2011
Zeta functions of quantum graphs. Zbl 1219.81134
Harrison, Jon M.; Kirsten, K.
3
2011
Growth of heat trace and heat content asymptotic coefficients. Zbl 1238.58017
van den Berg, M.; Gilkey, Peter; Kirsten, K.
2
2011
Functional determinants in higher dimensions using contour integrals. Zbl 1208.81081
Kirsten, Klaus
5
2010
A window into zeta and modular physics. Zbl 1195.11005
5
2010
Basic zeta functions and some applications in physics. Zbl 1234.11120
Kirsten, Klaus
3
2010
Small mass expansion of functional determinants on the generalized cone. Zbl 1196.81165
Fucci, Guglielmo; Kirsten, Klaus
3
2010
Spectral functions for the Schrödinger operator on \(\mathbb{R}^+\) with a singular potential. Zbl 1310.34117
Kirsten, Klaus; Loya, Paul
2
2010
Introduction. Zbl 1206.00039
Kirsten, Klaus; Williams, Floyd L.
1
2010
Semitransparent pistons. Zbl 1193.81102
Morales, P.; Kirsten, K.
1
2010
Heat trace asymptotics with singular weight functions. Zbl 1237.58028
van den Berg, Michiel; Gilkey, Peter B.; Kirsten, Klaus; Seeley, Robert T.
4
2009
Vacuum stress and closed paths in rectangles, pistons and pistols. Zbl 1162.81027
Fulling, S. A.; Kaplan, L.; Kirsten, K.; Liu, Z. H.; Milton, K. A.
2
2009
General moment theorems for nondistinct unrestricted partitions. Zbl 1200.11079
Coons, Michael; Kirsten, Klaus
1
2009
Exotic expansions and pathological properties of \(\zeta\)-functions on conic manifolds. Zbl 1154.58016
Kirsten, Klaus; Loya, Paul; Park, Jinsung
12
2008
Functional determinants for general self-adjoint extensions of Laplace-type operators resulting from the generalized cone. Zbl 1142.58017
Kirsten, Klaus; Loya, Paul; Park, Jinsung
9
2008
Elliptic aspects of statistical mechanics on spheres. Zbl 1159.81317
Dowker, J. S.; Kirsten, Klaus
1
2008
Heat content asymptotics for Riemannian manifolds with Zaremba boundary conditions. Zbl 1114.58022
van den Berg, M.; Gilkey, P.; Kirsten, K.; Kozlov, V. A.
10
2007
Local and global Casimir energies for a semitransparent cylindrical shell. Zbl 1113.81092
Cavero-Peláez, Inés; Milton, Kimball A.; Kirsten, Klaus
3
2007
The very unusual properties of the resolvent, heat kernel, and zeta function for the operator \(-d^{2}/dr^{ 2}-1/(4r^{ 2})\). Zbl 1111.58025
Kirsten, Klaus; Loya, Paul; Park, Jinsung
10
2006
Functional determinants for radial operators. Zbl 1100.81023
Dunne, Gerald V.; Kirsten, Klaus
8
2006
Zeta functions of Dirac and Laplace-type operators over finite cylinders. Zbl 1107.81022
Kirsten, Klaus; Loya, Paul; Park, Jinsung
4
2006
Spectral asymmetry on the ball and asymptotics of the asymmetry kernel. Zbl 1118.81029
Kirchberg, A.; Kirsten, K.; Santangelo, E. M.; Wipf, A.
2
2006
The Barnes \(\zeta\)-function, sphere determinants and Glaisher-Kinkelin-Bendersky constants. Zbl 1086.11040
Dowker, J. S.; Kirsten, Klaus
5
2005
Spectral asymptotics of Euclidean quantum gravity with diff-invariant boundary conditions. Zbl 1070.83010
Esposito, Giampiero; Fucci, Guglielmo; Kamenshchik, Alexander Yu; Kirsten, Klaus
4
2005
Heat kernel coefficients for chiral bag boundary conditions. Zbl 1060.58016
Esposito, Giampiero; Gilkey, Peter; Kirsten, Klaus
3
2005
Stability theorems for chiral bag boundary conditions. Zbl 1114.58013
Gilkey, P.; Kirsten, K.
3
2005
Eta invariants with spectral boundary conditions. Zbl 1083.58027
Gilkey, P.; Kirsten, K.; Park, J.-H.
1
2005
Functional determinants for general Sturm-Liouville problems. Zbl 1064.34016
Kirsten, Klaus; McKane, Alan J.
25
2004
Divergence terms in the supertrace heat asymptotics for the de Rham complex on a manifold with boundary. Zbl 1083.58028
Gilkey, P.; Kirsten, K.; Vassilevich, D.
2
2004
Heat content asymptotics for operators of Laplace type with spectral boundary conditions. Zbl 1135.58302
Gilkey, P.; Kirsten, K.; Park, J. H.
1
2004
Functional determinants by contour integration methods. Zbl 1051.58014
Kirsten, Klaus; McKane, Alan J.
29
2003
Heat content asymptotics with transmittal and transmission boundary conditions. Zbl 1051.58012
Gilkey, P. B.; Kirsten, K.
5
2003
Duality symmetry of the \(p\)-form effective action and supertrace of the twisted de Rham complex. Zbl 1005.81081
Gilkey, P.; Kirsten, K.; Vassilevich, D.; Zelnikov, A.
5
2003
Strong ellipticity and spectral properties of chiral bag boundary conditions. Zbl 1079.58022
Beneventano, C. G.; Gilkey, P. B.; Kirsten, K.; Santangelo, E. M.
4
2003
Heat trace asymptotics defined by transfer boundary conditions. Zbl 1044.58034
Gilkey, Peter; Kirsten, Klaus; Vassilevich, Dmitri
4
2003
Spectral functions in mathematics and physics. Zbl 1007.58015
Kirsten, Klaus
46
2002
Elliptic functions and temperature inversion symmetry on spheres. Zbl 0997.81114
Dowker, J. S.; Kirsten, Klaus
4
2002
Heat content asymptotics for oblique boundary conditions. Zbl 1009.58018
Gilkey, Peter; Kirsten, Klaus; Park, Jeonghyeong
1
2002
Heat trace asymptotics with transmittal boundary conditions and quantum brane-world scenario. Zbl 1097.58504
Gilkey, Peter B.; Kirsten, Klaus; Vassilevich, Dmitri V.
9
2001
Casimir energies for spherically symmetric cavities. Zbl 1012.81041
Cognola, Guido; Elizalde, Emilio; Kirsten, Klaus
7
2001
Effective actions on squashed lens spaces. Zbl 0976.83052
De Francia, Marcelo; Kirsten, Klaus; Dowker, J. S.
4
2001
On properties of the asymptotic expansion of the heat trace for the N/D problem. Zbl 1111.58301
Dowker, J. S.; Kirsten, K.; Gilkey, P. B.
4
2001
Divergencies in the Casimir energy for a medium with realistic ultraviolet behaviour. Zbl 0990.81793
Falomir, H.; Kirsten, K.; Rébora, K.
2
2001
Smeared heat-kernel coefficients on the ball and generalized cone. Zbl 1011.58015
Dowker, J. S.; Kirsten, Klaus
2
2001
Heat kernel asymptotics with mixed boundary conditions. Zbl 0955.58021
Branson, Thomas P.; Gilkey, Peter B.; Kirsten, Klaus; Vassilevich, Dmitri V.
17
1999
Spectral functions in mathematics and physics. Zbl 1162.58303
Kirsten, Klaus
10
1999
Spinors and forms on the ball and the generalized cone. Zbl 0945.58022
Dowker, J. S.; Kirsten, Klaus
7
1999
The \(a_{3/2}\) heat kernel coefficient for oblique boundary conditions. Zbl 0939.58028
Dowker, J. S.; Kirsten, Klaus
7
1999
On the ground state energy for a dielectric ball. Zbl 1031.81564
Bordag, Michael; Kirsten, Klaus; Vassilevich, Dmitri
2
1999
Heat asymptotics with spectral boundary conditions. Zbl 0964.58023
Dowker, J. Stuart; Gilkey, Peter; Kirsten, Klaus
1
1999
Casimir energy for a massive fermionic quantum field with a spherical boundary. Zbl 0907.47059
Elizalde, E.; Bordag, M.; Kirsten, K.
25
1998
The \(a_5\) heat kernel coefficient on a manifold with boundary. Zbl 0914.58035
Kirsten, Klaus
11
1998
Condensate fluctuations in trapped Bose gases: Canonical vs. microcanonical le. Zbl 0966.82001
Holthaus, Martin; Kalinowski, Eva; Kirsten, Klaus
4
1998
Path-integral quantization of electrodynamics in dielectric media. Zbl 0946.81043
Bordag, M.; Kirsten, K.; Vassilevich, D. V.
1
1998
Heat-kernel coefficients for oblique boundary conditions. Zbl 0883.58040
Dowker, J. S.; Kirsten, Klaus
3
1997
Heat kernel coefficients of the Laplace operator on the \(D\)-dimensional ball. Zbl 0862.58049
Bordag, M.; Elizalde, E.; Kirsten, K.
42
1996
Heat-kernels and functional determinants on the generalized cone. Zbl 0872.58065
Bordag, Michael; Kirsten, Klaus; Dowker, J. Stuart
38
1996
Zeta function determinant of the Laplace operator on the \(D\)-dimensional ball. Zbl 0864.58060
Bordag, M.; Geyer, B.; Kirsten, K.; Elizalde, E.
33
1996
Spectral invariants for the Dirac equation on the \(d\)-ball with various boundary conditions. Zbl 0860.58042
Dowker, J. S.; Apps, J. S.; Kirsten, K.; Bordag, M.
4
1996
Heat-kernel coefficients and functional determinants for higher-spin fields on the ball. Zbl 0846.58058
Kirsten, Klaus; Cognola, Guido
1
1996
Applications of the Mellin-Barnes integral representation. Zbl 1071.33501
Elizalde, E.; Kirsten, K.; Zerbini, S.
3
1995
Generalized multidimensional Epstein zeta functions. Zbl 0802.11034
Kirsten, Klaus
13
1994
Topological symmetry breaking in self-interacting theories on toroidal space-time. Zbl 0799.58089
Elizalde, Emilio; Kirsten, Klaus
7
1994
Are \(p\)-branes asymptotically black holes? Zbl 1020.83661
Bytsenko, Andrei; Kirsten, Klaus; Zerbini, Sergio
1
1994
Topological gauge field mass generation by toroidal spacetime. Zbl 0792.53068
Kirsten, Klaus
7
1993
Self-interacting scalar fields on space-time with compact hyperbolic spatial part. Zbl 1021.81690
Bytsenko, Andrei; Kirsten, Klaus; Odintsov, Sergei
2
1993
Connections between Kelvin functions and zeta functions with applications. Zbl 0778.11049
Kirsten, K.
2
1992
Casimir effect at finite temperature. Zbl 0752.58039
Kirsten, Klaus
10
1991
Inhomogeneous multidimensional Epstein zeta functions. Zbl 0753.11032
Kirsten, Klaus
9
1991
all top 5

Cited by 428 Authors

48 Kirsten, Klaus
14 Gilkey, Peter B.
14 Vassilevich, Dmitri V.
13 Fucci, Guglielmo
13 Vertman, Boris
10 Elizalde, Emilio
10 van den Berg, Michiel
9 Lee, Yoonweon
7 Bordag, Michael
7 Loya, Paul A.
7 Teo, Lee-Peng
6 Dowker, J. Stuart
6 Gesztesy, Fritz
6 Muñoz-Castañeda, José María
6 Zerbini, Sergio
5 Awonusika, Richard Olu
5 Oikonomou, Vasilis K.
5 Park, Jinsung
5 Saharian, Aram A.
5 Spreafico, Mauro
5 Zhu, Tao
4 Malbouisson, Adolfo P. C.
4 Santangelo, Eve Mariel
4 Svaiter, Nami F.
4 Toms, David J.
3 Asorey, Manuel
3 Beneventano, C. G.
3 Bytsenko, Andrei A.
3 Dai, Wusheng
3 Gousheh, Siamak S.
3 Lesch, Matthias
3 Littlejohn, Lance L.
3 Malbouisson, Jorge M. C.
3 Morales-Almazán, Pedro
3 Nesterenko, Vladimir V.
3 Noronha, J. M. B.
3 Seeley, Robert Thomas
3 Setare, Mohammad Reza
3 Tseytlin, Arkady Aleksandrovich
3 Turgut, Osman Teoman
3 Wang, Anzhong
3 Wu, Qiang
3 Xie, Mi
2 Ahmad, Bashir
2 Akant, Levent
2 Ashbaugh, Mark S.
2 Bueno, Pablo
2 Cognola, Guido
2 Cougo-Pinto, M. V.
2 Dryden, Emily B.
2 Dunne, Gerald V.
2 Eab, Chai Hok
2 Ertuğrul, Emine
2 Esposito, Giampiero
2 Farina, Carlos
2 Forini, Valentina
2 Freitas, Pedro
2 Fulling, Stephen A.
2 Garriga, Jaume
2 Gittins, Katie
2 Gonçalves, Antonio E.
2 Graham, Curtis
2 Grebenkov, Denis S.
2 Guilarte, J. Mateos
2 Hermi, Lotfi
2 Iochum, Bruno
2 Kan, Nahomi
2 Khanna, Faqir C.
2 Khusnutdinov, Nail R.
2 Kokotov, Aleksey
2 Kröncke, Klaus
2 Levitin, Michael R.
2 Levy, Cyril
2 Lin, Rui-Hui
2 Milton, Kimball A.
2 Nichols, Roger
2 Nieto, Luis Miguel
2 Nikolov, Nikolay M.
2 Pirozhenko, Irina G.
2 Pujolàs, Oriol
2 Puletti, Valentina Giangreco Marotta
2 Roiban, Radu
2 Santana, Ademir E.
2 Shiraishi, Kiyoshi
2 Silaev, Peter K.
2 Tanaka, Takahiro
2 Todorov, Ivan T.
2 Tort, Alexandre C.
2 Tossounian, Hagop
2 Valuyan, M. A.
2 Vescovi, Edoardo
2 Wang, Guotao
2 Weyand, Tracy
2 Williams, Floyd L.
2 Zhai, Xianghua
2 Zhang, Lihong
2 Zoli, Marco
1 Abalo, Elom K.
1 Abdalla, Maria Cristina B.
1 Abreu, Luciano M.
...and 328 more Authors
all top 5

Cited in 88 Serials

56 Journal of Mathematical Physics
30 International Journal of Modern Physics A
29 Journal of High Energy Physics
12 Nuclear Physics. B
8 Communications in Mathematical Physics
7 Letters in Mathematical Physics
7 Journal of Functional Analysis
7 The Journal of Geometric Analysis
7 Journal of Physics A: Mathematical and Theoretical
6 Physics Letters. B
6 Theoretical and Mathematical Physics
6 Journal of Geometry and Physics
6 Journal of Cosmology and Astroparticle Physics
5 Modern Physics Letters A
5 Potential Analysis
5 Symmetry
4 Physics Letters. A
4 Transactions of the American Mathematical Society
4 Communications in Partial Differential Equations
4 International Journal of Geometric Methods in Modern Physics
3 International Journal of Theoretical Physics
3 Physics Reports
3 Mathematische Annalen
3 Annals of Physics
3 International Journal of Modern Physics D
3 Communications in Theoretical Physics
2 Classical and Quantum Gravity
2 Computers & Mathematics with Applications
2 General Relativity and Gravitation
2 Journal of Statistical Physics
2 Reviews in Mathematical Physics
2 Applied Mathematics and Computation
2 Manuscripta Mathematica
2 Mathematische Nachrichten
2 Annals of Global Analysis and Geometry
2 International Journal of Mathematics
2 Differential Geometry and its Applications
2 Russian Physics Journal
2 Gravitation & Cosmology
2 Physical Review D. Series III
2 Journal of Statistical Mechanics: Theory and Experiment
2 Advances in High Energy Physics
2 Journal of Spectral Theory
1 Journal d’Analyse Mathématique
1 Mathematical Methods in the Applied Sciences
1 Nonlinearity
1 Physica A
1 Problems of Information Transmission
1 Reports on Mathematical Physics
1 Advances in Mathematics
1 Bulletin of the London Mathematical Society
1 Canadian Journal of Mathematics
1 Integral Equations and Operator Theory
1 Journal of Computational and Applied Mathematics
1 Journal of Differential Equations
1 Journal of Geometry
1 Journal of the Korean Mathematical Society
1 Journal of Number Theory
1 Mathematics and Computers in Simulation
1 Mathematische Zeitschrift
1 Quarterly of Applied Mathematics
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Acta Mathematicae Applicatae Sinica. English Series
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 SIAM Journal on Mathematical Analysis
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Indagationes Mathematicae. New Series
1 The Journal of Analysis
1 Calculus of Variations and Partial Differential Equations
1 Russian Journal of Mathematical Physics
1 Integral Transforms and Special Functions
1 Journal of the European Mathematical Society (JEMS)
1 Annales Henri Poincaré
1 Physical Review Letters
1 Journal of Evolution Equations
1 Analysis and Applications (Singapore)
1 Boundary Value Problems
1 The European Physical Journal C. Particles and Fields
1 Complex Variables and Elliptic Equations
1 Proceedings of the Steklov Institute of Mathematics
1 Journal of Fixed Point Theory and Applications
1 Journal of Noncommutative Geometry
1 Operators and Matrices
1 São Paulo Journal of Mathematical Sciences
1 Advances in Mathematical Physics
1 Journal of Pseudo-Differential Operators and Applications
1 Analysis and Mathematical Physics
1 Research in the Mathematical Sciences
all top 5

Cited in 37 Fields

185 Quantum theory (81-XX)
100 Global analysis, analysis on manifolds (58-XX)
65 Partial differential equations (35-XX)
62 Relativity and gravitational theory (83-XX)
40 Number theory (11-XX)
28 Operator theory (47-XX)
26 Ordinary differential equations (34-XX)
25 Statistical mechanics, structure of matter (82-XX)
15 Special functions (33-XX)
11 Differential geometry (53-XX)
10 Dynamical systems and ergodic theory (37-XX)
9 Algebraic geometry (14-XX)
7 Functions of a complex variable (30-XX)
6 Functional analysis (46-XX)
5 Probability theory and stochastic processes (60-XX)
4 Combinatorics (05-XX)
4 Mechanics of particles and systems (70-XX)
3 Geometry (51-XX)
2 Real functions (26-XX)
2 Measure and integration (28-XX)
2 Potential theory (31-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Approximations and expansions (41-XX)
2 Algebraic topology (55-XX)
2 Manifolds and cell complexes (57-XX)
2 Statistics (62-XX)
2 Mechanics of deformable solids (74-XX)
2 Astronomy and astrophysics (85-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Fluid mechanics (76-XX)
1 Optics, electromagnetic theory (78-XX)
1 Operations research, mathematical programming (90-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Systems theory; control (93-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year