Kirsten, Klaus; Lee, Yoonweon The gluing formula, conformal scaling, and geometry. (English) Zbl 1475.58024 Ann. Global Anal. Geom. 59, No. 4, 537-547 (2021). Reviewer: Luiz Hartmann (São Carlos) MSC: 58J52 PDFBibTeX XMLCite \textit{K. Kirsten} and \textit{Y. Lee}, Ann. Global Anal. Geom. 59, No. 4, 537--547 (2021; Zbl 1475.58024) Full Text: DOI
Kirsten, Klaus; Lee, Yoonweon The BFK-gluing formula and the curvature tensors on a 2-dimensional compact hypersurface. (English) Zbl 1476.58034 J. Spectr. Theory 10, No. 3, 1007-1051 (2020). Reviewer: Luiz Hartmann (São Carlos) MSC: 58J52 58J35 58J20 14F40 PDFBibTeX XMLCite \textit{K. Kirsten} and \textit{Y. Lee}, J. Spectr. Theory 10, No. 3, 1007--1051 (2020; Zbl 1476.58034) Full Text: DOI arXiv
Beneventano, C. G.; Gilkey, P.; Kirsten, K.; Santangelo, E. M. Heat trace asymptotics and the Gauss-Bonnet theorem for general connections. (English) Zbl 1255.58009 J. Phys. A, Math. Theor. 45, No. 37, Article ID 374010, 12 p. (2012). Reviewer: Laurent Guillopé (Nantes) MSC: 58J35 58J37 58J50 58A12 PDFBibTeX XMLCite \textit{C. G. Beneventano} et al., J. Phys. A, Math. Theor. 45, No. 37, Article ID 374010, 12 p. (2012; Zbl 1255.58009) Full Text: DOI arXiv
Fucci, Guglielmo; Kirsten, Klaus Heat kernel coefficients for Laplace operators on the spherical suspension. (English) Zbl 1252.58012 Commun. Math. Phys. 314, No. 2, 483-507 (2012). Reviewer: Peter B. Gilkey (Eugene) MSC: 58J37 33C10 PDFBibTeX XMLCite \textit{G. Fucci} and \textit{K. Kirsten}, Commun. Math. Phys. 314, No. 2, 483--507 (2012; Zbl 1252.58012) Full Text: DOI arXiv
van den Berg, M.; Gilkey, P.; Kirsten, K. Heat trace asymptotics with singular weight functions. II. (English) Zbl 1238.58016 J. Geom. Anal. 21, No. 4, 870-901 (2011). Reviewer: Dian K. Palagachev (Bari) MSC: 58J35 35K20 35P99 PDFBibTeX XMLCite \textit{M. van den Berg} et al., J. Geom. Anal. 21, No. 4, 870--901 (2011; Zbl 1238.58016) Full Text: DOI arXiv
van den Berg, M.; Gilkey, Peter; Kirsten, K. Growth of heat trace and heat content asymptotic coefficients. (English) Zbl 1238.58017 J. Funct. Anal. 261, No. 8, 2293-2322 (2011). Reviewer: Dian K. Palagachev (Bari) MSC: 58J35 PDFBibTeX XMLCite \textit{M. van den Berg} et al., J. Funct. Anal. 261, No. 8, 2293--2322 (2011; Zbl 1238.58017) Full Text: DOI arXiv
van den Berg, Michiel; Gilkey, Peter B.; Kirsten, Klaus; Seeley, Robert T. Heat trace asymptotics with singular weight functions. (English) Zbl 1237.58028 Commun. Anal. Geom. 17, No. 3, 529-563 (2009). Reviewer: Dian K. Palagachev (Bari) MSC: 58J37 PDFBibTeX XMLCite \textit{M. van den Berg} et al., Commun. Anal. Geom. 17, No. 3, 529--563 (2009; Zbl 1237.58028) Full Text: DOI arXiv
van den Berg, M.; Gilkey, P.; Kirsten, K.; Kozlov, V. A. Heat content asymptotics for Riemannian manifolds with Zaremba boundary conditions. (English) Zbl 1114.58022 Potential Anal. 26, No. 3, 225-254 (2007). Reviewer: Georgi E. Karadzhov (Sofia) MSC: 58J35 35P99 PDFBibTeX XMLCite \textit{M. van den Berg} et al., Potential Anal. 26, No. 3, 225--254 (2007; Zbl 1114.58022) Full Text: DOI arXiv
Esposito, Giampiero; Fucci, Guglielmo; Kamenshchik, Alexander; Kirsten, Klaus A new spectral cancellation in quantum gravity. (English) Zbl 1118.58013 Booß-Bavnbek, Bernhelm (ed.) et al., Analysis, geometry and topology of elliptic operators. Papers of a workshop in honor of Krzysztof P. Wojciechowski on his 50th birthday, Roskilde, Denmark, May 20–22, 2005. Hackensack, NJ: World Scientific (ISBN 981-256-805-0/hbk). 467-492 (2006). MSC: 58J37 58J90 83C45 81S40 81T20 PDFBibTeX XMLCite \textit{G. Esposito} et al., in: Analysis, geometry and topology of elliptic operators. Papers of a workshop in honor of Krzysztof P. Wojciechowski on his 50th birthday, Roskilde, Denmark, May 20--22, 2005. Hackensack, NJ: World Scientific. 467--492 (2006; Zbl 1118.58013) Full Text: arXiv
Gilkey, P.; Kirsten, K.; Park, J.-H. Eta invariants with spectral boundary conditions. (English) Zbl 1083.58027 J. Phys. A, Math. Gen. 38, No. 37, 8103-8122 (2005). Reviewer: Jan Kurek (Lublin) MSC: 58J28 58J32 58J37 58J50 PDFBibTeX XMLCite \textit{P. Gilkey} et al., J. Phys. A, Math. Gen. 38, No. 37, 8103--8122 (2005; Zbl 1083.58027) Full Text: DOI arXiv
Esposito, Giampiero; Gilkey, Peter; Kirsten, Klaus Heat kernel coefficients for chiral bag boundary conditions. (English) Zbl 1060.58016 J. Phys. A, Math. Gen. 38, No. 10, 2259-2276 (2005). MSC: 58J37 58J50 PDFBibTeX XMLCite \textit{G. Esposito} et al., J. Phys. A, Math. Gen. 38, No. 10, 2259--2276 (2005; Zbl 1060.58016) Full Text: DOI arXiv
Gilkey, P.; Kirsten, K.; Park, J. H. Heat content asymptotics for operators of Laplace type with spectral boundary conditions. (English) Zbl 1135.58302 Lett. Math. Phys. 68, No. 2, 67-76 (2004). MSC: 58J37 58J35 58J50 PDFBibTeX XMLCite \textit{P. Gilkey} et al., Lett. Math. Phys. 68, No. 2, 67--76 (2004; Zbl 1135.58302) Full Text: DOI arXiv
Gilkey, P.; Kirsten, K.; Vassilevich, D. Divergence terms in the supertrace heat asymptotics for the de Rham complex on a manifold with boundary. (English) Zbl 1083.58028 J. Geom. Phys. 49, No. 3-4, 249-271 (2004). Reviewer: Hans-Bert Rademacher (Leipzig) MSC: 58J50 PDFBibTeX XMLCite \textit{P. Gilkey} et al., J. Geom. Phys. 49, No. 3--4, 249--271 (2004; Zbl 1083.58028) Full Text: DOI arXiv
Gilkey, P.; Kirsten, K.; Vassilevich, D. Supertrace divergence terms for the Witten Laplacian. (English) Zbl 1054.58019 Potential Anal. 20, No. 3, 223-235 (2004). Reviewer: Hans-Bert Rademacher (Leipzig) MSC: 58J50 PDFBibTeX XMLCite \textit{P. Gilkey} et al., Potential Anal. 20, No. 3, 223--235 (2004; Zbl 1054.58019) Full Text: DOI arXiv
Gilkey, P. B.; Kirsten, K. Heat content asymptotics with transmittal and transmission boundary conditions. (English) Zbl 1051.58012 J. Lond. Math. Soc., II. Ser. 68, No. 2, 431-443 (2003). Reviewer: Christian Bär (Potsdam) MSC: 58J50 PDFBibTeX XMLCite \textit{P. B. Gilkey} and \textit{K. Kirsten}, J. Lond. Math. Soc., II. Ser. 68, No. 2, 431--443 (2003; Zbl 1051.58012) Full Text: DOI arXiv
Gilkey, Peter; Kirsten, Klaus Heat asymptotics with spectral boundary conditions. II. (English) Zbl 1046.58007 Proc. R. Soc. Edinb., Sect. A, Math. 133, No. 2, 333-361 (2003). Reviewer: Alessandro Savo (Roma) (MR 2004h:58038) MSC: 58J37 58J50 PDFBibTeX XMLCite \textit{P. Gilkey} and \textit{K. Kirsten}, Proc. R. Soc. Edinb., Sect. A, Math. 133, No. 2, 333--361 (2003; Zbl 1046.58007) Full Text: DOI
Gilkey, Peter; Kirsten, Klaus; Vassilevich, Dmitri Heat trace asymptotics defined by transfer boundary conditions. (English) Zbl 1044.58034 Lett. Math. Phys. 63, No. 1, 29-37 (2003). Reviewer: Ken S. Richardson (Fort Worth) MSC: 58J50 PDFBibTeX XMLCite \textit{P. Gilkey} et al., Lett. Math. Phys. 63, No. 1, 29--37 (2003; Zbl 1044.58034) Full Text: DOI arXiv
Gilkey, Peter; Kirsten, Klaus; Park, Jeonghyeong Heat content asymptotics for oblique boundary conditions. (English) Zbl 1009.58018 Lett. Math. Phys. 59, No. 3, 269-276 (2002). Reviewer: Dian K.Palagachev (Bari) MSC: 58J35 58J37 PDFBibTeX XMLCite \textit{P. Gilkey} et al., Lett. Math. Phys. 59, No. 3, 269--276 (2002; Zbl 1009.58018) Full Text: DOI arXiv
Kirsten, Klaus Spectral functions in mathematics and physics. (English) Zbl 1007.58015 Boca Raton, FL: Chapman & Hall/CRC. 382 p. (2002). Reviewer: Peter B.Gilkey (Eugene) MSC: 58J50 58J90 81T99 81-02 82-02 58-02 PDFBibTeX XMLCite \textit{K. Kirsten}, Spectral functions in mathematics and physics. Boca Raton, FL: Chapman \& Hall/CRC (2002; Zbl 1007.58015) Full Text: arXiv
Dowker, J. S.; Kirsten, K.; Gilkey, P. B. On properties of the asymptotic expansion of the heat trace for the N/D problem. (English) Zbl 1111.58301 Int. J. Math. 12, No. 5, 505-507 (2001). MSC: 58J37 58J35 PDFBibTeX XMLCite \textit{J. S. Dowker} et al., Int. J. Math. 12, No. 5, 505--507 (2001; Zbl 1111.58301) Full Text: DOI arXiv
Dowker, J. S.; Kirsten, Klaus Smeared heat-kernel coefficients on the ball and generalized cone. (English) Zbl 1011.58015 J. Math. Phys. 42, No. 1, 434-452 (2001). MSC: 58J35 35C20 35P20 58J37 58J50 PDFBibTeX XMLCite \textit{J. S. Dowker} and \textit{K. Kirsten}, J. Math. Phys. 42, No. 1, 434--452 (2001; Zbl 1011.58015) Full Text: DOI arXiv
Gilkey, Peter B.; Kirsten, Klaus; Vassilevich, Dmitri V. Heat trace asymptotics with transmittal boundary conditions and quantum brane-world scenario. (English) Zbl 1097.58504 Nucl. Phys., B 601, No. 1-2, 125-148 (2001). MSC: 58J37 58J32 58J35 81T30 PDFBibTeX XMLCite \textit{P. B. Gilkey} et al., Nucl. Phys., B 601, No. 1--2, 125--148 (2001; Zbl 1097.58504) Full Text: DOI arXiv
Gilkey, Peter; Kirsten, Klaus; Park, JeongHyeong Heat trace asymptotics of a time-dependent process. (English) Zbl 0977.58022 J. Phys. A, Math. Gen. 34, No. 6, 1153-1168 (2001). Reviewer: Th.M.Rassias (Athens) MSC: 58J35 35P05 PDFBibTeX XMLCite \textit{P. Gilkey} et al., J. Phys. A, Math. Gen. 34, No. 6, 1153--1168 (2001; Zbl 0977.58022) Full Text: DOI arXiv
Dowker, J. Stuart; Kirsten, Klaus Calculation of heat kernel coefficients by special case calculations. (English) Zbl 1029.58021 Bordag, Michael (ed.), The Casimir effect 50 years later. Proceedings of the fourth workshop on quantum field theory under the influence of external conditions, Leipzig, Germany, September 14-18, 1998. Singapore: World Scientific. 176-181 (1999). MSC: 58J35 58J37 PDFBibTeX XMLCite \textit{J. S. Dowker} and \textit{K. Kirsten}, in: The Casimir effect 50 years later. Proceedings of the fourth workshop on quantum field theory under the influence of external conditions, Leipzig, Germany, September 14--18, 1998. Singapore: World Scientific. 176--181 (1999; Zbl 1029.58021)
Branson, Thomas P.; Gilkey, Peter B.; Kirsten, Klaus; Vassilevich, Dmitri V. Heat kernel asymptotics with mixed boundary conditions. (English) Zbl 0955.58021 Nucl. Phys., B 563, No. 3, 603-626 (1999). MSC: 58J35 58J37 PDFBibTeX XMLCite \textit{T. P. Branson} et al., Nucl. Phys., B 563, No. 3, 603--626 (1999; Zbl 0955.58021) Full Text: DOI arXiv
Dowker, J. Stuart; Gilkey, Peter; Kirsten, Klaus Heat asymptotics with spectral boundary conditions. (English) Zbl 0964.58023 Booss-Bavnbek, Bernhelm (ed.) et al., Geometric aspects of partial differential equations. Proceedings of a minisymposium on spectral invariants, heat equation approach, Roskilde, Denmark, September 18-19, 1998. Providence, RI: American Mathematical Society. Contemp. Math. 242, 107-123 (1999). Reviewer: Alessandro Savo (Roma) MSC: 58J35 58J50 PDFBibTeX XMLCite \textit{J. S. Dowker} et al., Contemp. Math. 242, 107--123 (1999; Zbl 0964.58023) Full Text: arXiv
Bordag, M.; Elizalde, E.; Kirsten, K. Heat kernel coefficients of the Laplace operator on the \(D\)-dimensional ball. (English) Zbl 0862.58049 J. Math. Phys. 37, No. 2, 895-916 (1996). MSC: 58J37 58J35 58J32 58J52 PDFBibTeX XMLCite \textit{M. Bordag} et al., J. Math. Phys. 37, No. 2, 895--916 (1996; Zbl 0862.58049) Full Text: DOI arXiv