Edit Profile (opens in new tab) Kirsten, Klaus Compute Distance To: Compute Author ID: 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: 124 Publications since 1991, including 1 Book 1 Contribution as Editor Reviewing Activity: 24 Reviews Co-Authors: 64 Co-Authors with 114 Joint Publications 1,359 Co-Co-Authors all top 5 Co-Authors 11 single-authored 23 Gilkey, Peter B. 21 Fucci, Guglielmo 13 Dowker, J. Stuart 9 Bordag, Michael 8 Elizalde, Emilio 8 Lee, Yoonweon 8 Vassilevich, Dmitri V. 7 Gesztesy, Fritz 7 Loya, Paul A. 6 Esposito, Giampiero 5 Kamenshchik, Aleksandr Yur’evich 5 Morales-Almazán, Pedro 5 Park, Jinsung 5 van den Berg, Michiel 3 Cognola, Guido 3 Harrison, Jon M. 3 Littlejohn, Lance L. 3 Milton, Kimball A. 3 Santangelo, Eve Mariel 3 Williams, Floyd L. 3 Zerbini, Sergio 2 Ashbaugh, Mark S. 2 Beauregard, Matthew A. 2 Beneventano, C. G. 2 Bytsenko, Andrei A. 2 Dunne, Gerald V. 2 Fulling, Stephen A. 2 Graham, Curtis 2 Hermi, Lotfi 2 Jeffres, Thalia D. 2 Kaplan, Lev 2 Liu, Zhonghai 2 Lu, Tianshi 2 McKane, Alan J. 2 Muñoz-Castañeda, José María 2 Odintsov, Sergei D. 2 Park, Jeonghyeong 2 Stanfill, Jonathan 2 Tossounian, Hagop 1 Apps, J. S. 1 Branson, Thomas Patrick 1 Cavero-Peláez, Inés 1 Cleaver, Gerald B. 1 Coons, Michael 1 de Francia, Marcelo 1 Estrada, Ricardo 1 Falomir, Horacio Alberto 1 Geyer, Bodo 1 Grigor’yan, Alexander Asaturovich 1 Holthaus, Martin 1 Kalinowski, Eva 1 Kirchberg, A. 1 Nichols, Roger 1 Rébora, K. 1 Robles, Nicolas 1 Seeley, Robert Thomas 1 Sheng, Qin 1 Streit, Brian Quantz 1 Texier, Christophe 1 Vanzo, Luciano 1 Wang, Anzhong 1 Weyand, Tracy 1 Wipf, Andreas W. 1 Zhu, Tao all top 5 Serials 19 Journal of Physics A: Mathematical and Theoretical 16 Journal of Physics A: Mathematical and General 15 Journal of Mathematical Physics 8 Classical and Quantum Gravity 5 Communications in Mathematical Physics 5 Letters in Mathematical Physics 4 International Journal of Modern Physics A 4 Nuclear Physics. B 3 Modern Physics Letters A 3 Journal of Functional Analysis 3 The Journal of Geometric Analysis 3 Annals of Physics 2 Journal of Geometry and Physics 2 Potential Analysis 2 Communications in Analysis and Geometry 1 Applicable Analysis 1 Applied Mathematics and Computation 1 Journal of the London Mathematical Society. Second Series 1 Manuscripta Mathematica 1 Quarterly of Applied Mathematics 1 Annals of Global Analysis and Geometry 1 International Journal of Mathematics 1 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of High Energy Physics 1 Analysis and Applications (Singapore) 1 International Journal of Geometric Methods in Modern Physics 1 Mathematical Sciences Research Institute Publications 1 Symmetry 1 Journal of Spectral Theory 1 Analysis and Mathematical Physics 1 Research in the Mathematical Sciences all top 5 Fields 61 Global analysis, analysis on manifolds (58-XX) 61 Quantum theory (81-XX) 24 Number theory (11-XX) 23 Partial differential equations (35-XX) 15 Ordinary differential equations (34-XX) 14 Operator theory (47-XX) 14 Relativity and gravitational theory (83-XX) 6 Special functions (33-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Algebraic geometry (14-XX) 4 Functions of a complex variable (30-XX) 4 Differential geometry (53-XX) 2 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Approximations and expansions (41-XX) 1 Manifolds and cell complexes (57-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 99 Publications have been cited 671 times in 336 Documents Cited by ▼ Year ▼ Spectral functions in mathematics and physics. Zbl 1007.58015Kirsten, Klaus 49 2002 Heat kernel coefficients of the Laplace operator on the \(D\)-dimensional ball. Zbl 0862.58049Bordag, M.; Elizalde, E.; Kirsten, K. 45 1996 Heat-kernels and functional determinants on the generalized cone. Zbl 0872.58065Bordag, Michael; Kirsten, Klaus; Dowker, J. Stuart 38 1996 Zeta function determinant of the Laplace operator on the \(D\)-dimensional ball. Zbl 0864.58060Bordag, M.; Geyer, B.; Kirsten, K.; Elizalde, E. 36 1996 Functional determinants by contour integration methods. Zbl 1051.58014Kirsten, Klaus; McKane, Alan J. 29 2003 Functional determinants for general Sturm-Liouville problems. Zbl 1064.34016Kirsten, Klaus; McKane, Alan J. 26 2004 Casimir energy for a massive fermionic quantum field with a spherical boundary. Zbl 0907.47059Elizalde, E.; Bordag, M.; Kirsten, K. 26 1998 Heat kernel asymptotics with mixed boundary conditions. Zbl 0955.58021Branson, Thomas P.; Gilkey, Peter B.; Kirsten, Klaus; Vassilevich, Dmitri V. 19 1999 Functional determinants for radial operators. Zbl 1100.81023Dunne, Gerald V.; Kirsten, Klaus 14 2006 Generalized multidimensional Epstein zeta functions. Zbl 0802.11034Kirsten, Klaus 13 1994 Spectral functions in mathematics and physics. Zbl 1162.58303Kirsten, Klaus 12 1999 Exotic expansions and pathological properties of \(\zeta\)-functions on conic manifolds. Zbl 1154.58016Kirsten, Klaus; Loya, Paul; Park, Jinsung 12 2008 The \(a_5\) heat kernel coefficient on a manifold with boundary. Zbl 0914.58035Kirsten, Klaus 12 1998 Casimir effect at finite temperature. Zbl 0752.58039Kirsten, Klaus 10 1991 Heat content asymptotics for Riemannian manifolds with Zaremba boundary conditions. Zbl 1114.58022van 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 1111.58025Kirsten, Klaus; Loya, Paul; Park, Jinsung 10 2006 Heat trace asymptotics with transmittal boundary conditions and quantum brane-world scenario. Zbl 1097.58504Gilkey, Peter B.; Kirsten, Klaus; Vassilevich, Dmitri V. 9 2001 Inhomogeneous multidimensional Epstein zeta functions. Zbl 0753.11032Kirsten, Klaus 9 1991 Functional determinants for general self-adjoint extensions of Laplace-type operators resulting from the generalized cone. Zbl 1142.58017Kirsten, 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 1272.58016Fucci, Guglielmo; Kirsten, Klaus 8 2013 Casimir energies for spherically symmetric cavities. Zbl 1012.81041Cognola, Guido; Elizalde, Emilio; Kirsten, Klaus 8 2001 Topological gauge field mass generation by toroidal spacetime. Zbl 0792.53068Kirsten, Klaus 8 1993 The Casimir effect for conical pistons. Zbl 1301.81258Fucci, Guglielmo; Kirsten, Klaus 8 2011 Effective computation of traces, determinants, and \(\zeta\)-functions for Sturm-Liouville operators. Zbl 06988448Gesztesy, Fritz; Kirsten, Klaus 8 2019 Topological symmetry breaking in self-interacting theories on toroidal space-time. Zbl 0799.58089Elizalde, Emilio; Kirsten, Klaus 7 1994 Spinors and forms on the ball and the generalized cone. Zbl 0945.58022Dowker, J. S.; Kirsten, Klaus 7 1999 The \(a_{3/2}\) heat kernel coefficient for oblique boundary conditions. Zbl 0939.58028Dowker, J. S.; Kirsten, Klaus 7 1999 The Burghelea-Friedlander-Kappeler-gluing formula for zeta-determinants on a warped product manifold and a product manifold. Zbl 1334.58022Kirsten, Klaus; Lee, Yoonweon 7 2015 Conical Casimir pistons with hybrid boundary conditions. Zbl 1222.81262Fucci, Guglielmo; Kirsten, Klaus 7 2011 Casimir effect in the presence of external fields. Zbl 1268.81136Beauregard, Matthew; Fucci, Guglielmo; Kirsten, Klaus; Morales, Pedro 6 2013 Pistons modelled by potentials. Zbl 1251.81084Fucci, Guglielmo; Kirsten, Klaus; Morales, Pedro 6 2011 A window into zeta and modular physics. Zbl 1195.11005 6 2010 Constructing analytical solutions of linear perturbations of inflation with modified dispersion relations. Zbl 1297.83066Zhu, Tao; Wang, Anzhong; Cleaver, Gerald; Kirsten, Klaus; Sheng, Qin 6 2014 The polynomial associated with the BFK-gluing formula of the zeta-determinant on a compact warped product manifold. Zbl 1409.58015Kirsten, Klaus; Lee, Yoonweon 5 2018 Spectral determinants and zeta functions of Schrödinger operators on metric graphs. Zbl 1245.81034Harrison, Jon M.; Kirsten, K.; Texier, C. 5 2012 Duality symmetry of the \(p\)-form effective action and supertrace of the twisted de Rham complex. Zbl 1005.81081Gilkey, P.; Kirsten, K.; Vassilevich, D.; Zelnikov, A. 5 2003 Strong ellipticity and spectral properties of chiral bag boundary conditions. Zbl 1079.58022Beneventano, C. G.; Gilkey, P. B.; Kirsten, K.; Santangelo, E. M. 5 2003 Heat content asymptotics with transmittal and transmission boundary conditions. Zbl 1051.58012Gilkey, P. B.; Kirsten, K. 5 2003 Basic zeta functions and some applications in physics. Zbl 1234.11120Kirsten, Klaus 5 2010 Functional determinants in higher dimensions using contour integrals. Zbl 1208.81081Kirsten, Klaus 5 2010 Hardy inequality and heat semigroup estimates for Riemannian manifolds with singular data. Zbl 1251.58009van den Berg, M.; Gilkey, Peter B.; Grigor’yan, A.; Kirsten, K. 5 2012 Heat kernel coefficients for Laplace operators on the spherical suspension. Zbl 1252.58012Fucci, Guglielmo; Kirsten, Klaus 5 2012 Bose-Einstein condensation on product manifolds. Zbl 1226.82015Fucci, Guglielmo; Kirsten, Klaus 5 2011 Spectral invariants for the Dirac equation on the \(d\)-ball with various boundary conditions. Zbl 0860.58042Dowker, J. S.; Apps, J. S.; Kirsten, K.; Bordag, M. 5 1996 The Barnes \(\zeta\)-function, sphere determinants and Glaisher-Kinkelin-Bendersky constants. Zbl 1086.11040Dowker, J. S.; Kirsten, Klaus 5 2005 Zeta functions of Dirac and Laplace-type operators over finite cylinders. Zbl 1107.81022Kirsten, Klaus; Loya, Paul; Park, Jinsung 4 2006 Effective actions on squashed lens spaces. Zbl 0976.83052De Francia, Marcelo; Kirsten, Klaus; Dowker, J. S. 4 2001 Stability theorems for chiral bag boundary conditions. Zbl 1114.58013Gilkey, P.; Kirsten, K. 4 2005 Elliptic functions and temperature inversion symmetry on spheres. Zbl 0997.81114Dowker, J. S.; Kirsten, Klaus 4 2002 Condensate fluctuations in trapped Bose gases: Canonical vs. microcanonical le. Zbl 0966.82001Holthaus, Martin; Kalinowski, Eva; Kirsten, Klaus 4 1998 Heat trace asymptotics defined by transfer boundary conditions. Zbl 1044.58034Gilkey, Peter; Kirsten, Klaus; Vassilevich, Dmitri 4 2003 On properties of the asymptotic expansion of the heat trace for the N/D problem. Zbl 1111.58301Dowker, J. S.; Kirsten, K.; Gilkey, P. B. 4 2001 Zeta functions of the Dirac operator on quantum graphs. Zbl 1349.81101Harrison, Jon M.; Weyand, T.; Kirsten, K. 4 2016 QFT over the finite line. Heat kernel coefficients, spectral zeta functions and selfadjoint extensions. Zbl 1325.81114Muñoz-Castañeda, Jose M.; Kirsten, Klaus; Bordag, Michael 4 2015 The Casimir effect for generalized piston geometries. Zbl 1247.81446Fucci, Guglielmo; Kirsten, Klaus 4 2012 Heat trace asymptotics with singular weight functions. Zbl 1237.58028van den Berg, Michiel; Gilkey, Peter B.; Kirsten, Klaus; Seeley, Robert T. 4 2009 Spectral asymptotics of Euclidean quantum gravity with diff-invariant boundary conditions. Zbl 1070.83010Esposito, Giampiero; Fucci, Guglielmo; Kamenshchik, Alexander Yu; Kirsten, Klaus 4 2005 The BFK-gluing formula and relative determinants on manifolds with cusps. Zbl 1364.58010Kirsten, Klaus; Lee, Yoonweon 4 2017 Applications of the Mellin-Barnes integral representation. Zbl 1071.33501Elizalde, E.; Kirsten, K.; Zerbini, S. 3 1995 Local and global Casimir energies for a semitransparent cylindrical shell. Zbl 1113.81092Cavero-Peláez, Inés; Milton, Kimball A.; Kirsten, Klaus 3 2007 Heat-kernel coefficients for oblique boundary conditions. Zbl 0883.58040Dowker, J. S.; Kirsten, Klaus 3 1997 Spectral functions for regular Sturm-Liouville problems. Zbl 1317.30060Fucci, Guglielmo; Graham, Curtis; Kirsten, Klaus 3 2015 Zeta function on surfaces of revolution. Zbl 1273.35193Jeffres, Thalia D.; Kirsten, Klaus; Lu, Tianshi 3 2012 Zeta functions of quantum graphs. Zbl 1219.81134Harrison, Jon M.; Kirsten, K. 3 2011 Spectral asymmetry on the ball and asymptotics of the asymmetry kernel. Zbl 1118.81029Kirchberg, A.; Kirsten, K.; Santangelo, E. M.; Wipf, A. 3 2006 Heat kernel coefficients for chiral bag boundary conditions. Zbl 1060.58016Esposito, Giampiero; Gilkey, Peter; Kirsten, Klaus 3 2005 Small mass expansion of functional determinants on the generalized cone. Zbl 1196.81165Fucci, Guglielmo; Kirsten, Klaus 3 2010 The BFK-gluing formula and the curvature tensors on a 2-dimensional compact hypersurface. Zbl 1476.58034Kirsten, Klaus; Lee, Yoonweon 2 2020 Self-interacting scalar fields on space-time with compact hyperbolic spatial part. Zbl 1021.81690Bytsenko, Andrei; Kirsten, Klaus; Odintsov, Sergei 2 1993 Vacuum stress and closed paths in rectangles, pistons and pistols. Zbl 1162.81027Fulling, S. A.; Kaplan, L.; Kirsten, K.; Liu, Z. H.; Milton, K. A. 2 2009 Divergencies in the Casimir energy for a medium with realistic ultraviolet behaviour. Zbl 0990.81793Falomir, H.; Kirsten, K.; Rébora, K. 2 2001 Smeared heat-kernel coefficients on the ball and generalized cone. Zbl 1011.58015Dowker, J. S.; Kirsten, Klaus 2 2001 On the ground state energy for a dielectric ball. Zbl 1031.81564Bordag, Michael; Kirsten, Klaus; Vassilevich, Dmitri 2 1999 Casimir energies in spherically symmetric background potentials revisited. Zbl 1310.81139Beauregard, Matthew; Bordag, Michael; Kirsten, Klaus 2 2015 Spectral functions for the Schrödinger operator on \(\mathbb{R}^+\) with a singular potential. Zbl 1310.34117Kirsten, Klaus; Loya, Paul 2 2010 Growth of heat trace and heat content asymptotic coefficients. Zbl 1238.58017van den Berg, M.; Gilkey, Peter; Kirsten, K. 2 2011 Connections between Kelvin functions and zeta functions with applications. Zbl 0778.11049Kirsten, K. 2 1992 Functional determinants and Casimir energy in higher dimensional spherically symmetric background potentials. Zbl 1344.81136Fucci, Guglielmo; Kirsten, Klaus 2 2016 Zeta functions on tori using contour integration. Zbl 1352.11086Elizalde, Emilio; Kirsten, Klaus; Robles, Nicolas; Williams, Floyd 2 2015 Divergence terms in the supertrace heat asymptotics for the de Rham complex on a manifold with boundary. Zbl 1083.58028Gilkey, P.; Kirsten, K.; Vassilevich, D. 2 2004 Gluing formula for Casimir energies. Zbl 1390.81553Kirsten, Klaus; Lee, Yoonweon 1 2018 Are \(p\)-branes asymptotically black holes? Zbl 1020.83661Bytsenko, Andrei; Kirsten, Klaus; Zerbini, Sergio 1 1994 Heat-kernel coefficients and functional determinants for higher-spin fields on the ball. Zbl 0846.58058Kirsten, Klaus; Cognola, Guido 1 1996 Eta invariants with spectral boundary conditions. Zbl 1083.58027Gilkey, P.; Kirsten, K.; Park, J.-H. 1 2005 Elliptic aspects of statistical mechanics on spheres. Zbl 1159.81317Dowker, J. S.; Kirsten, Klaus 1 2008 Heat content asymptotics for oblique boundary conditions. Zbl 1009.58018Gilkey, Peter; Kirsten, Klaus; Park, Jeonghyeong 1 2002 Heat asymptotics with spectral boundary conditions. Zbl 0964.58023Dowker, J. Stuart; Gilkey, Peter; Kirsten, Klaus 1 1999 Functional determinants for Laplacians on annuli and elliptical regions. Zbl 1390.35056Graham, 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 1384.81066Fucci, Guglielmo; Kirsten, Klaus 1 2018 Expansion of infinite series containing modified Bessel functions of the second kind. Zbl 1326.81122Fucci, Guglielmo; Kirsten, Klaus 1 2015 Analytic continuation of the doubly-periodic Barnes zeta function. Zbl 1329.30005Fucci, Guglielmo; Kirsten, Klaus 1 2013 Introduction. Zbl 1206.00039Kirsten, Klaus; Williams, Floyd L. 1 2010 Heat trace asymptotics and the Gauss-Bonnet theorem for general connections. Zbl 1255.58009Beneventano, C. G.; Gilkey, P.; Kirsten, K.; Santangelo, E. M. 1 2012 Semitransparent pistons. Zbl 1193.81102Morales, P.; Kirsten, K. 1 2010 Path-integral quantization of electrodynamics in dielectric media. Zbl 0946.81043Bordag, M.; Kirsten, K.; Vassilevich, D. V. 1 1998 Heat content asymptotics for operators of Laplace type with spectral boundary conditions. Zbl 1135.58302Gilkey, P.; Kirsten, K.; Park, J. H. 1 2004 General moment theorems for nondistinct unrestricted partitions. Zbl 1200.11079Coons, Michael; Kirsten, Klaus 1 2009 On traces and modified Fredholm determinants for half-line Schrödinger operators with purely discrete spectra. Zbl 1500.47067Gesztesy, Fritz; Kirsten, Klaus 1 2019 Spectral \(\zeta\)-functions and \(\zeta\)-regularized functional determinants for regular Sturm-Liouville operators. Zbl 1496.47010Fucci, Guglielmo; Gesztesy, Fritz; Kirsten, Klaus; Stanfill, Jonathan 1 2021 Spectral \(\zeta\)-functions and \(\zeta\)-regularized functional determinants for regular Sturm-Liouville operators. Zbl 1496.47010Fucci, Guglielmo; Gesztesy, Fritz; Kirsten, Klaus; Stanfill, Jonathan 1 2021 The BFK-gluing formula and the curvature tensors on a 2-dimensional compact hypersurface. Zbl 1476.58034Kirsten, Klaus; Lee, Yoonweon 2 2020 Effective computation of traces, determinants, and \(\zeta\)-functions for Sturm-Liouville operators. Zbl 06988448Gesztesy, Fritz; Kirsten, Klaus 8 2019 On traces and modified Fredholm determinants for half-line Schrödinger operators with purely discrete spectra. Zbl 1500.47067Gesztesy, Fritz; Kirsten, Klaus 1 2019 The polynomial associated with the BFK-gluing formula of the zeta-determinant on a compact warped product manifold. Zbl 1409.58015Kirsten, Klaus; Lee, Yoonweon 5 2018 Gluing formula for Casimir energies. Zbl 1390.81553Kirsten, Klaus; Lee, Yoonweon 1 2018 Functional determinants for Laplacians on annuli and elliptical regions. Zbl 1390.35056Graham, 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 1384.81066Fucci, Guglielmo; Kirsten, Klaus 1 2018 The BFK-gluing formula and relative determinants on manifolds with cusps. Zbl 1364.58010Kirsten, Klaus; Lee, Yoonweon 4 2017 Zeta functions of the Dirac operator on quantum graphs. Zbl 1349.81101Harrison, Jon M.; Weyand, T.; Kirsten, K. 4 2016 Functional determinants and Casimir energy in higher dimensional spherically symmetric background potentials. Zbl 1344.81136Fucci, Guglielmo; Kirsten, Klaus 2 2016 The Burghelea-Friedlander-Kappeler-gluing formula for zeta-determinants on a warped product manifold and a product manifold. Zbl 1334.58022Kirsten, Klaus; Lee, Yoonweon 7 2015 QFT over the finite line. Heat kernel coefficients, spectral zeta functions and selfadjoint extensions. Zbl 1325.81114Muñoz-Castañeda, Jose M.; Kirsten, Klaus; Bordag, Michael 4 2015 Spectral functions for regular Sturm-Liouville problems. Zbl 1317.30060Fucci, Guglielmo; Graham, Curtis; Kirsten, Klaus 3 2015 Casimir energies in spherically symmetric background potentials revisited. Zbl 1310.81139Beauregard, Matthew; Bordag, Michael; Kirsten, Klaus 2 2015 Zeta functions on tori using contour integration. Zbl 1352.11086Elizalde, Emilio; Kirsten, Klaus; Robles, Nicolas; Williams, Floyd 2 2015 Expansion of infinite series containing modified Bessel functions of the second kind. Zbl 1326.81122Fucci, Guglielmo; Kirsten, Klaus 1 2015 Constructing analytical solutions of linear perturbations of inflation with modified dispersion relations. Zbl 1297.83066Zhu, 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 1272.58016Fucci, Guglielmo; Kirsten, Klaus 8 2013 Casimir effect in the presence of external fields. Zbl 1268.81136Beauregard, Matthew; Fucci, Guglielmo; Kirsten, Klaus; Morales, Pedro 6 2013 Analytic continuation of the doubly-periodic Barnes zeta function. Zbl 1329.30005Fucci, Guglielmo; Kirsten, Klaus 1 2013 Spectral determinants and zeta functions of Schrödinger operators on metric graphs. Zbl 1245.81034Harrison, Jon M.; Kirsten, K.; Texier, C. 5 2012 Hardy inequality and heat semigroup estimates for Riemannian manifolds with singular data. Zbl 1251.58009van den Berg, M.; Gilkey, Peter B.; Grigor’yan, A.; Kirsten, K. 5 2012 Heat kernel coefficients for Laplace operators on the spherical suspension. Zbl 1252.58012Fucci, Guglielmo; Kirsten, Klaus 5 2012 The Casimir effect for generalized piston geometries. Zbl 1247.81446Fucci, Guglielmo; Kirsten, Klaus 4 2012 Zeta function on surfaces of revolution. Zbl 1273.35193Jeffres, Thalia D.; Kirsten, Klaus; Lu, Tianshi 3 2012 Heat trace asymptotics and the Gauss-Bonnet theorem for general connections. Zbl 1255.58009Beneventano, C. G.; Gilkey, P.; Kirsten, K.; Santangelo, E. M. 1 2012 The Casimir effect for conical pistons. Zbl 1301.81258Fucci, Guglielmo; Kirsten, Klaus 8 2011 Conical Casimir pistons with hybrid boundary conditions. Zbl 1222.81262Fucci, Guglielmo; Kirsten, Klaus 7 2011 Pistons modelled by potentials. Zbl 1251.81084Fucci, Guglielmo; Kirsten, Klaus; Morales, Pedro 6 2011 Bose-Einstein condensation on product manifolds. Zbl 1226.82015Fucci, Guglielmo; Kirsten, Klaus 5 2011 Zeta functions of quantum graphs. Zbl 1219.81134Harrison, Jon M.; Kirsten, K. 3 2011 Growth of heat trace and heat content asymptotic coefficients. Zbl 1238.58017van den Berg, M.; Gilkey, Peter; Kirsten, K. 2 2011 A window into zeta and modular physics. Zbl 1195.11005 6 2010 Basic zeta functions and some applications in physics. Zbl 1234.11120Kirsten, Klaus 5 2010 Functional determinants in higher dimensions using contour integrals. Zbl 1208.81081Kirsten, Klaus 5 2010 Small mass expansion of functional determinants on the generalized cone. Zbl 1196.81165Fucci, Guglielmo; Kirsten, Klaus 3 2010 Spectral functions for the Schrödinger operator on \(\mathbb{R}^+\) with a singular potential. Zbl 1310.34117Kirsten, Klaus; Loya, Paul 2 2010 Introduction. Zbl 1206.00039Kirsten, Klaus; Williams, Floyd L. 1 2010 Semitransparent pistons. Zbl 1193.81102Morales, P.; Kirsten, K. 1 2010 Heat trace asymptotics with singular weight functions. Zbl 1237.58028van den Berg, Michiel; Gilkey, Peter B.; Kirsten, Klaus; Seeley, Robert T. 4 2009 Vacuum stress and closed paths in rectangles, pistons and pistols. Zbl 1162.81027Fulling, S. A.; Kaplan, L.; Kirsten, K.; Liu, Z. H.; Milton, K. A. 2 2009 General moment theorems for nondistinct unrestricted partitions. Zbl 1200.11079Coons, Michael; Kirsten, Klaus 1 2009 Exotic expansions and pathological properties of \(\zeta\)-functions on conic manifolds. Zbl 1154.58016Kirsten, Klaus; Loya, Paul; Park, Jinsung 12 2008 Functional determinants for general self-adjoint extensions of Laplace-type operators resulting from the generalized cone. Zbl 1142.58017Kirsten, Klaus; Loya, Paul; Park, Jinsung 9 2008 Elliptic aspects of statistical mechanics on spheres. Zbl 1159.81317Dowker, J. S.; Kirsten, Klaus 1 2008 Heat content asymptotics for Riemannian manifolds with Zaremba boundary conditions. Zbl 1114.58022van den Berg, M.; Gilkey, P.; Kirsten, K.; Kozlov, V. A. 10 2007 Local and global Casimir energies for a semitransparent cylindrical shell. Zbl 1113.81092Cavero-Peláez, Inés; Milton, Kimball A.; Kirsten, Klaus 3 2007 Functional determinants for radial operators. Zbl 1100.81023Dunne, Gerald V.; Kirsten, Klaus 14 2006 The very unusual properties of the resolvent, heat kernel, and zeta function for the operator \(-d^{2}/dr^{ 2}-1/(4r^{ 2})\). Zbl 1111.58025Kirsten, Klaus; Loya, Paul; Park, Jinsung 10 2006 Zeta functions of Dirac and Laplace-type operators over finite cylinders. Zbl 1107.81022Kirsten, Klaus; Loya, Paul; Park, Jinsung 4 2006 Spectral asymmetry on the ball and asymptotics of the asymmetry kernel. Zbl 1118.81029Kirchberg, A.; Kirsten, K.; Santangelo, E. M.; Wipf, A. 3 2006 The Barnes \(\zeta\)-function, sphere determinants and Glaisher-Kinkelin-Bendersky constants. Zbl 1086.11040Dowker, J. S.; Kirsten, Klaus 5 2005 Stability theorems for chiral bag boundary conditions. Zbl 1114.58013Gilkey, P.; Kirsten, K. 4 2005 Spectral asymptotics of Euclidean quantum gravity with diff-invariant boundary conditions. Zbl 1070.83010Esposito, Giampiero; Fucci, Guglielmo; Kamenshchik, Alexander Yu; Kirsten, Klaus 4 2005 Heat kernel coefficients for chiral bag boundary conditions. Zbl 1060.58016Esposito, Giampiero; Gilkey, Peter; Kirsten, Klaus 3 2005 Eta invariants with spectral boundary conditions. Zbl 1083.58027Gilkey, P.; Kirsten, K.; Park, J.-H. 1 2005 Functional determinants for general Sturm-Liouville problems. Zbl 1064.34016Kirsten, Klaus; McKane, Alan J. 26 2004 Divergence terms in the supertrace heat asymptotics for the de Rham complex on a manifold with boundary. Zbl 1083.58028Gilkey, P.; Kirsten, K.; Vassilevich, D. 2 2004 Heat content asymptotics for operators of Laplace type with spectral boundary conditions. Zbl 1135.58302Gilkey, P.; Kirsten, K.; Park, J. H. 1 2004 Functional determinants by contour integration methods. Zbl 1051.58014Kirsten, Klaus; McKane, Alan J. 29 2003 Duality symmetry of the \(p\)-form effective action and supertrace of the twisted de Rham complex. Zbl 1005.81081Gilkey, P.; Kirsten, K.; Vassilevich, D.; Zelnikov, A. 5 2003 Strong ellipticity and spectral properties of chiral bag boundary conditions. Zbl 1079.58022Beneventano, C. G.; Gilkey, P. B.; Kirsten, K.; Santangelo, E. M. 5 2003 Heat content asymptotics with transmittal and transmission boundary conditions. Zbl 1051.58012Gilkey, P. B.; Kirsten, K. 5 2003 Heat trace asymptotics defined by transfer boundary conditions. Zbl 1044.58034Gilkey, Peter; Kirsten, Klaus; Vassilevich, Dmitri 4 2003 Spectral functions in mathematics and physics. Zbl 1007.58015Kirsten, Klaus 49 2002 Elliptic functions and temperature inversion symmetry on spheres. Zbl 0997.81114Dowker, J. S.; Kirsten, Klaus 4 2002 Heat content asymptotics for oblique boundary conditions. Zbl 1009.58018Gilkey, Peter; Kirsten, Klaus; Park, Jeonghyeong 1 2002 Heat trace asymptotics with transmittal boundary conditions and quantum brane-world scenario. Zbl 1097.58504Gilkey, Peter B.; Kirsten, Klaus; Vassilevich, Dmitri V. 9 2001 Casimir energies for spherically symmetric cavities. Zbl 1012.81041Cognola, Guido; Elizalde, Emilio; Kirsten, Klaus 8 2001 Effective actions on squashed lens spaces. Zbl 0976.83052De 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 1111.58301Dowker, J. S.; Kirsten, K.; Gilkey, P. B. 4 2001 Divergencies in the Casimir energy for a medium with realistic ultraviolet behaviour. Zbl 0990.81793Falomir, H.; Kirsten, K.; Rébora, K. 2 2001 Smeared heat-kernel coefficients on the ball and generalized cone. Zbl 1011.58015Dowker, J. S.; Kirsten, Klaus 2 2001 Heat kernel asymptotics with mixed boundary conditions. Zbl 0955.58021Branson, Thomas P.; Gilkey, Peter B.; Kirsten, Klaus; Vassilevich, Dmitri V. 19 1999 Spectral functions in mathematics and physics. Zbl 1162.58303Kirsten, Klaus 12 1999 Spinors and forms on the ball and the generalized cone. Zbl 0945.58022Dowker, J. S.; Kirsten, Klaus 7 1999 The \(a_{3/2}\) heat kernel coefficient for oblique boundary conditions. Zbl 0939.58028Dowker, J. S.; Kirsten, Klaus 7 1999 On the ground state energy for a dielectric ball. Zbl 1031.81564Bordag, Michael; Kirsten, Klaus; Vassilevich, Dmitri 2 1999 Heat asymptotics with spectral boundary conditions. Zbl 0964.58023Dowker, J. Stuart; Gilkey, Peter; Kirsten, Klaus 1 1999 Casimir energy for a massive fermionic quantum field with a spherical boundary. Zbl 0907.47059Elizalde, E.; Bordag, M.; Kirsten, K. 26 1998 The \(a_5\) heat kernel coefficient on a manifold with boundary. Zbl 0914.58035Kirsten, Klaus 12 1998 Condensate fluctuations in trapped Bose gases: Canonical vs. microcanonical le. Zbl 0966.82001Holthaus, Martin; Kalinowski, Eva; Kirsten, Klaus 4 1998 Path-integral quantization of electrodynamics in dielectric media. Zbl 0946.81043Bordag, M.; Kirsten, K.; Vassilevich, D. V. 1 1998 Heat-kernel coefficients for oblique boundary conditions. Zbl 0883.58040Dowker, J. S.; Kirsten, Klaus 3 1997 Heat kernel coefficients of the Laplace operator on the \(D\)-dimensional ball. Zbl 0862.58049Bordag, M.; Elizalde, E.; Kirsten, K. 45 1996 Heat-kernels and functional determinants on the generalized cone. Zbl 0872.58065Bordag, Michael; Kirsten, Klaus; Dowker, J. Stuart 38 1996 Zeta function determinant of the Laplace operator on the \(D\)-dimensional ball. Zbl 0864.58060Bordag, M.; Geyer, B.; Kirsten, K.; Elizalde, E. 36 1996 Spectral invariants for the Dirac equation on the \(d\)-ball with various boundary conditions. Zbl 0860.58042Dowker, J. S.; Apps, J. S.; Kirsten, K.; Bordag, M. 5 1996 Heat-kernel coefficients and functional determinants for higher-spin fields on the ball. Zbl 0846.58058Kirsten, Klaus; Cognola, Guido 1 1996 Applications of the Mellin-Barnes integral representation. Zbl 1071.33501Elizalde, E.; Kirsten, K.; Zerbini, S. 3 1995 Generalized multidimensional Epstein zeta functions. Zbl 0802.11034Kirsten, Klaus 13 1994 Topological symmetry breaking in self-interacting theories on toroidal space-time. Zbl 0799.58089Elizalde, Emilio; Kirsten, Klaus 7 1994 Are \(p\)-branes asymptotically black holes? Zbl 1020.83661Bytsenko, Andrei; Kirsten, Klaus; Zerbini, Sergio 1 1994 Topological gauge field mass generation by toroidal spacetime. Zbl 0792.53068Kirsten, Klaus 8 1993 Self-interacting scalar fields on space-time with compact hyperbolic spatial part. Zbl 1021.81690Bytsenko, Andrei; Kirsten, Klaus; Odintsov, Sergei 2 1993 Connections between Kelvin functions and zeta functions with applications. Zbl 0778.11049Kirsten, K. 2 1992 Casimir effect at finite temperature. Zbl 0752.58039Kirsten, Klaus 10 1991 Inhomogeneous multidimensional Epstein zeta functions. Zbl 0753.11032Kirsten, Klaus 9 1991 all cited Publications top 5 cited Publications all top 5 Cited by 450 Authors 49 Kirsten, Klaus 15 Vassilevich, Dmitri V. 14 Gilkey, Peter B. 13 Fucci, Guglielmo 13 Vertman, Boris 10 Elizalde, Emilio 10 van den Berg, Michiel 9 Lee, Yoonweon 7 Bordag, Michael 7 Gesztesy, Fritz 7 Loya, Paul A. 7 Teo, Lee-Peng 6 Dowker, J. Stuart 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 Morales-Almazán, Pedro 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 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 Weyand, Tracy 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 Harrison, Jonathan 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 Naber, M. G. 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 Williams, Floyd L. 2 Zhai, Xianghua 2 Zhang, Lihong 2 Zoli, Marco 1 Abalo, Elom K. 1 Abd-Elmageed, Hala ...and 350 more Authors all top 5 Cited in 90 Serials 58 Journal of Mathematical Physics 35 Journal of High Energy Physics 30 International Journal of Modern Physics A 12 Nuclear Physics. B 8 Communications in Mathematical Physics 8 Letters in Mathematical Physics 8 Journal of Functional Analysis 7 Physics Letters. 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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. 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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 1 Tunisian Journal of Mathematics all top 5 Cited in 40 Fields 196 Quantum theory (81-XX) 101 Global analysis, analysis on manifolds (58-XX) 66 Partial differential equations (35-XX) 63 Relativity and gravitational theory (83-XX) 43 Number theory (11-XX) 29 Operator theory (47-XX) 27 Ordinary differential equations (34-XX) 25 Statistical mechanics, structure of matter (82-XX) 17 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 Combinatorics (05-XX) 6 Functional analysis (46-XX) 5 Probability theory and stochastic processes (60-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 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Numerical analysis (65-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