Álvarez López, J.; Gilkey, P. Derived heat trace asymptotics for the de Rham and Dolbeault complexes. (English) Zbl 1512.58010 Pure Appl. Funct. Anal. 8, No. 1, 49-66 (2023). Reviewer: Antonio Roberto da Silva (Rio de Janeiro) MSC: 58J20 58A12 PDFBibTeX XMLCite \textit{J. Álvarez López} and \textit{P. Gilkey}, Pure Appl. Funct. Anal. 8, No. 1, 49--66 (2023; Zbl 1512.58010) Full Text: arXiv Link
van den Berg, M.; Gilkey, P. Heat content with singular initial temperature and singular specific heat. (English) Zbl 1320.58014 Potential Anal. 42, No. 1, 1-38 (2015). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 58J32 58J35 58J37 35K20 PDFBibTeX XMLCite \textit{M. van den Berg} and \textit{P. Gilkey}, Potential Anal. 42, No. 1, 1--38 (2015; Zbl 1320.58014) Full Text: DOI arXiv
van den Berg, M.; Gilkey, P.; Kang, H. Neumann heat content asymptotics with singular initial temperature and singular specific heat. (English) Zbl 1311.58015 J. Fixed Point Theory Appl. 14, No. 1, 267-298 (2013). Reviewer: Shu-Yu Hsu (Min-hsiung) MSC: 58J32 58J37 58J35 35K20 PDFBibTeX XMLCite \textit{M. van den Berg} et al., J. Fixed Point Theory Appl. 14, No. 1, 267--298 (2013; Zbl 1311.58015) 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
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
Gilkey, Peter B. The spectral geometry of operators of Dirac and Laplace type. (English) Zbl 1236.58035 Krupka, Demeter (ed.) et al., Handbook of global analysis. Amsterdam: Elsevier (ISBN 978-0-444-52833-9/hbk). 289-326 (2008). MSC: 58J50 35P05 58J20 58J35 58J37 58J53 PDFBibTeX XMLCite \textit{P. B. Gilkey}, in: Handbook of global analysis. Amsterdam: Elsevier. 289--326 (2008; Zbl 1236.58035) Full Text: DOI
van den Berg, M.; Gilkey, P.; Seeley, R. Heat content asymptotics with singular initial temperature distributions. (English) Zbl 1143.58013 J. Funct. Anal. 254, No. 12, 3093-3122 (2008). Reviewer: Dian K. Palagachev (Bari) MSC: 58J32 PDFBibTeX XMLCite \textit{M. van den Berg} et al., J. Funct. Anal. 254, No. 12, 3093--3122 (2008; Zbl 1143.58013) Full Text: DOI
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
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
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
van den Berg, M.; Gilkey, P. Heat content asymptotics with inhomogeneous Neumann and Dirichlet boundary conditions. (English) Zbl 0990.58019 Potential Anal. 14, No. 3, 269-274 (2001). Reviewer: Novica Blažić (Beograd) MSC: 58J50 58J53 35K05 PDFBibTeX XMLCite \textit{M. van den Berg} and \textit{P. Gilkey}, Potential Anal. 14, No. 3, 269--274 (2001; Zbl 0990.58019) Full Text: DOI
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
van den Berg, M.; Gilkey, P. The heat content asymptotics of a time-dependent process. (English) Zbl 0984.58012 Proc. R. Soc. Edinb., Sect. A, Math. 130, No. 2, 307-312 (2000). Reviewer: W.Mozgawa (Lublin) MSC: 58J37 PDFBibTeX XMLCite \textit{M. van den Berg} and \textit{P. Gilkey}, Proc. R. Soc. Edinb., Sect. A, Math. 130, No. 2, 307--312 (2000; Zbl 0984.58012) Full Text: DOI
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
Gilkey, Peter Heat content asymptotics. (English) Zbl 0957.58022 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, 125-133 (1999). Reviewer: Alessandro Savo (Roma) MSC: 58J35 58J37 58J50 PDFBibTeX XMLCite \textit{P. Gilkey}, Contemp. Math. 242, 125--133 (1999; Zbl 0957.58022)
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
Gilkey, P. The heat content asymptotics for variable geometries. (English) Zbl 0953.58021 J. Phys. A, Math. Gen. 32, No. 15, 2825-2834 (1999). Reviewer: Ken S.Richardson (Fort Worth) MSC: 58J35 58J37 PDFBibTeX XMLCite \textit{P. Gilkey}, J. Phys. A, Math. Gen. 32, No. 15, 2825--2834 (1999; Zbl 0953.58021) Full Text: DOI Link
Van Den Berg, M.; Gilkey, P. B. The heat equation with inhomogeneous Dirichlet boundary conditions. (English) Zbl 0940.58017 Commun. Anal. Geom. 7, No. 2, 279-294 (1999). Reviewer: Maria A.Ragusa (Catania) MSC: 58J37 58J32 35S15 35S35 58J35 PDFBibTeX XMLCite \textit{M. Van Den Berg} and \textit{P. B. Gilkey}, Commun. Anal. Geom. 7, No. 2, 279--294 (1999; Zbl 0940.58017) Full Text: DOI
Bokan, Neda; Gilkey, Peter; Simon, Udo Spectral invariants of affine hypersurfaces. (English) Zbl 0999.58014 Publ. Inst. Math., Nouv. Sér. 64(78), 133-145 (1998). Reviewer: Novica Blažić (Beograd) MSC: 58J35 53A15 58J37 PDFBibTeX XMLCite \textit{N. Bokan} et al., Publ. Inst. Math., Nouv. Sér. 64(78), 133--145 (1998; Zbl 0999.58014) Full Text: EuDML
Branson, Thomas P.; Gilkey, Peter B.; Vassilevich, Dmitri V. Vacuum expectation value asymptotics for second order differential operators on manifolds with boundary. (English) Zbl 0924.58101 J. Math. Phys. 39, No. 2, 1040-1049 (1998); erratum ibid. 41, No. 5, 3301 (2000). MSC: 58J37 58J60 81T16 58J35 PDFBibTeX XMLCite \textit{T. P. Branson} et al., J. Math. Phys. 39, No. 2, 1040--1049 (1998; Zbl 0924.58101) Full Text: DOI arXiv
Gilkey, Peter B.; Nikčević, S.; Pohjanpelto, J. The local index formula for a Hermitian manifold. (English) Zbl 0885.58091 Pac. J. Math. 180, No. 1, 51-56 (1997). Reviewer: P.Gilkey (Eugene) MSC: 58J50 53C55 PDFBibTeX XMLCite \textit{P. B. Gilkey} et al., Pac. J. Math. 180, No. 1, 51--56 (1997; Zbl 0885.58091) Full Text: DOI
Branson, Thomas P.; Gilkey, Peter B.; Vassilevich, Dmitri V. The asymptotics of the Laplacian on a manifold with boundary. II. (English) Zbl 0920.58050 Boll. Unione Mat. Ital., VII. Ser., B 11, No. 2, Suppl., 39-67 (1997). MSC: 58J37 58J50 53C20 PDFBibTeX XMLCite \textit{T. P. Branson} et al., Boll. Unione Mat. Ital., VII. Ser., B 11, No. 2, 39--67 (1997; Zbl 0920.58050) Full Text: arXiv
Bokan, Neda; Gilkey, Peter; Simon, Udo Relating the second and fourth order terms in the asymptotic expansion of the heat equation. (English) Zbl 0871.58077 J. Geom. 58, No. 1-2, 61-65 (1997). Reviewer: P.B.Gilkey (Eugene) MSC: 58J35 58J50 53A55 53A15 PDFBibTeX XMLCite \textit{N. Bokan} et al., J. Geom. 58, No. 1--2, 61--65 (1997; Zbl 0871.58077) Full Text: DOI
van den Berg, M.; Gilkey, Peter B. Heat invariants for odd-dimensional hemispheres. (English) Zbl 0874.58083 Proc. R. Soc. Edinb., Sect. A 126, No. 1, 187-193 (1996). Reviewer: S.K.Chatterjea (Calcutta) MSC: 58J37 80A20 PDFBibTeX XMLCite \textit{M. van den Berg} and \textit{P. B. Gilkey}, Proc. R. Soc. Edinb., Sect. A, Math. 126, No. 1, 187--193 (1996; Zbl 0874.58083) Full Text: DOI
Gilkey, Peter B. Heat equation and heat content asymptotics. (English) Zbl 0862.58050 Fulling, S. A. (ed.), Heat kernel technique and quantum gravity. Proceedings of a conference, Winnipeg, Canada, August 2–6 1994. College Station, TX: Texas A & M University. Discourses Math. Appl. 4, 1-10 (1995). MSC: 58J37 58J35 58J90 83C47 83F05 PDFBibTeX XMLCite \textit{P. B. Gilkey}, Discourses Math. Appl. 4, 1--10 (1995; Zbl 0862.58050)
Blažić, Navica; Bokan, Neda; Branson, Thomas; Gilkey, Peter When the leading terms in the heat equation asymptotics are coercive. (English) Zbl 0836.58040 Houston J. Math. 21, No. 1, 75-82 (1995). Reviewer: G.E.Karadzhov (Sofia) MSC: 58J37 58J35 58J50 PDFBibTeX XMLCite \textit{N. Blažić} et al., Houston J. Math. 21, No. 1, 75--82 (1995; Zbl 0836.58040)
Branson, Thomas P.; Gilkey, Peter B.; Pierzchalski, Antoni Heat equation asymptotics of elliptic operators with non-scalar leading symbol. (English) Zbl 0831.35041 Math. Nachr. 166, 207-215 (1994). MSC: 35J15 58J05 58J35 PDFBibTeX XMLCite \textit{T. P. Branson} et al., Math. Nachr. 166, 207--215 (1994; Zbl 0831.35041) Full Text: DOI
Bokan, Neda; Gilkey, Peter B.; Simon, Udo Applications of spectral geometry to affine and projective geometry. (English) Zbl 0828.53008 Beitr. Algebra Geom. 35, No. 2, 283-314 (1994). Reviewer: I.Cattaneo-Gasparini (Roma) MSC: 53A15 53A20 58J50 53C40 53B05 PDFBibTeX XMLCite \textit{N. Bokan} et al., Beitr. Algebra Geom. 35, No. 2, 283--314 (1994; Zbl 0828.53008) Full Text: EuDML EMIS
Gilkey, Peter B. Heat content asymptotics of non-minimal operators. (English) Zbl 0818.58045 Topol. Methods Nonlinear Anal. 3, No. 1, 69-80 (1994). Reviewer: O.Liess (Darmstadt) MSC: 58J37 58J35 PDFBibTeX XMLCite \textit{P. B. Gilkey}, Topol. Methods Nonlinear Anal. 3, No. 1, 69--80 (1994; Zbl 0818.58045) Full Text: DOI
Desjardins, S.; Gilkey, P. Heat content asymptotics for operators of Laplace type with Neumann boundary conditions. (English) Zbl 0791.58091 Math. Z. 215, No. 2, 251-268 (1994). Reviewer: S.Desjardins and P.Gilkey (Eugene (Oregon)) MSC: 58J37 53C21 58J50 PDFBibTeX XMLCite \textit{S. Desjardins} and \textit{P. Gilkey}, Math. Z. 215, No. 2, 251--268 (1994; Zbl 0791.58091) Full Text: DOI EuDML
Gilkey, Peter B. Asymptotic expansions in spectral geometry. (English) Zbl 0879.58077 Pràstaro, A. (ed.) et al., Geometry in partial differential equations. Singapore: World Scientific. 100-113 (1994). MSC: 58J50 58J35 58J37 PDFBibTeX XMLCite \textit{P. B. Gilkey}, in: Geometry in partial differential equations. Singapore: World Scientific. 100--113 (1994; Zbl 0879.58077)
Gilkey, Peter B. Asymptotic expansions in spectral geometry. (English) Zbl 0827.58058 Kim, Hong-Jong (ed.), Proceedings of the GARC workshop on geometry and topology ’93 held at the Seoul National University, Seoul, Korea, July 1993. Seoul: Seoul National University, Lect. Notes Ser., Seoul. 18, 103-116 (1993). Reviewer: M.Puta (Timişoara) MSC: 58J50 58J37 PDFBibTeX XMLCite \textit{P. B. Gilkey}, in: Proceedings of the GARC workshop on geometry and topology '93 held at the Seoul National University, Seoul, Korea, July 1993. Seoul: Seoul National University. 103--116 (1993; Zbl 0827.58058)
van den Berg, M.; Desjardins, S.; Gilkey, P. Functoriality and heat content asymptotics for operators of Laplace type. (English) Zbl 0812.58086 Topol. Methods Nonlinear Anal. 2, No. 1, 147-162 (1993). Reviewer: J.Schönenberger-Deuel (Männedorf) MSC: 58J37 58J35 35B40 PDFBibTeX XMLCite \textit{M. van den Berg} et al., Topol. Methods Nonlinear Anal. 2, No. 1, 147--162 (1993; Zbl 0812.58086) Full Text: DOI
Bokan, Neda; Gilkey, Peter; Živaljević, Rade An inhomogeneous elliptic complex. (English) Zbl 0804.58051 J. Anal. Math. 61, 367-393 (1993). Reviewer: O.Liess (Darmstadt) MSC: 58J10 58J35 58J37 PDFBibTeX XMLCite \textit{N. Bokan} et al., J. Anal. Math. 61, 367--393 (1993; Zbl 0804.58051) Full Text: DOI
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 PDFBibTeX XMLCite \textit{P. B. Gilkey}, Proc. Symp. Pure Math. 54, 317--326 (1993; Zbl 0791.58092)
Gilkey, Peter B. Spectral geometry. (English) Zbl 0875.58027 Mat. Contemp. 2, 73-112 (1992). MSC: 58J50 58-02 53C21 PDFBibTeX XMLCite \textit{P. B. Gilkey}, Mat. Contemp. 2, 73--112 (1992; Zbl 0875.58027)
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 PDFBibTeX XMLCite \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, P. B. Functoriality and heat equation asymptotics. (English) Zbl 0790.58042 Szenthe, J. (ed.) et al., Differential geometry and its applications. Proceedings of a colloquium, held in Eger, Hungary, August 20-25, 1989, organized by the János Bolyai Mathematical Society. Amsterdam: North- Holland Publishing Company. Colloq. Math. Soc. János Bolyai. 56, 285-315 (1992). Reviewer: N.Jacob (Erlangen) MSC: 58J37 58J35 58J50 58J70 PDFBibTeX XMLCite \textit{P. B. Gilkey}, in: Differential geometry and its applications. Proceedings of a colloquium, held in Eger, Hungary, August 20-25, 1989, organized by the János Bolyai Mathematical Society. Amsterdam: North-Holland Publishing Company; Budapest: János Bolyai Mathematical Society. 285--315 (1992; Zbl 0790.58042)
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 PDFBibTeX XMLCite \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)
Branson, Thomas P.; Gilkey, Peter B.; Ørsted, Bent; Pierzchalski, Antoni Heat equation asymptotics of a generalized Ahlfors Laplacian on a manifold with boundary. (English) Zbl 0881.58061 Demuth, Michael (ed.) et al., Operator calculus and spectral theory. Proceedings of a symposium, held in Lambrecht, Germany, December 9-14, 1991. Basel: Birkhäuser Verlag. Oper. Theory, Adv. Appl. 57, 1-13 (1992). MSC: 58J35 58J37 58J50 53C20 PDFBibTeX XMLCite \textit{T. P. Branson} et al., in: Operator calculus and spectral theory. Proceedings of a symposium, held in Lambrecht, Germany, December 9-14, 1991. Basel: Birkhäuser Verlag. 1--13 (1992; Zbl 0881.58061)
Branson, Thomas P.; Gilkey, Peter B.; Ørsted, Bent Leading terms in the heat invariants. (English) Zbl 0723.47041 Proc. Am. Math. Soc. 109, No. 2, 437-450 (1990). MSC: 47F05 PDFBibTeX XMLCite \textit{T. P. Branson} et al., Proc. Am. Math. Soc. 109, No. 2, 437--450 (1990; Zbl 0723.47041) Full Text: DOI
Branson, Thomas P.; Gilkey, Peter B. The asymptotics of the Laplacian on a manifold with boundary. (English) Zbl 0721.58052 Commun. Partial Differ. Equations 15, No. 2, 245-272 (1990). Reviewer: V.Ya.Ivrij (Palaiseau) MSC: 58J50 35P20 PDFBibTeX XMLCite \textit{T. P. Branson} and \textit{P. B. Gilkey}, Commun. Partial Differ. Equations 15, No. 2, 245--272 (1990; Zbl 0721.58052) Full Text: DOI