Bulletin of the American Mathematical Society

The AMS does not provide abstracts of book reviews. You may download the entire review from the links below.

Book Information

Author(s): E. B. Davies
Title: Heat kernels and spectral theory
Additional book information: Cambridge University Press, Cambridge, 1989, 197 pp., $49.50. ISBN 0-521-36136-2

[D] E. B. Davies, Spectral properties of compact manifolds and changes of metric, Amer. J. Math. (to appear). MR 1037600

[DGS] E. B. Davies, L. Gross and B. Simon, Hypercontractivity: a bibliographic review, Proceedings of the Hoegh Krohn Memorial Conference.

[DS] E. B. Davies and B. Simon, Ultra-contractivity and the heat kernel for Schrödin ger operators and Dirichlet Laplacians, J. Funct. Anal. 59 (1984), 335-395. MR 766493

[FS] E. B. Fabes and D. W. Stroock, A new proof of Moser's parabolic Harnack inequality via the old ideas of Nash, Arch. Rational Mech. Anal. 96 (1986), 327-338. MR 855753

[F] P. Federbush, A partial alternate derivation of a result of Nelson, J. Math. Phys. 10 (1969), 50-52.

[G] L. Gross, Logarithmic Sobolev inequalities, Amer. J. Math. 97 (1975), 1061-1083. MR 420249

[LY] P. Li and S. T. Yau, On the parabolic kernel of the Schrödinger operator, Acta Math. 56 (1986), 153-201. MR 834612

[Na] J. Nash, Continuity of solutions of parabolic and elliptic equations, Amer. J. Math. 80 (1958), 931-954. MR 100158

[Ne] E. Nelson, A quartic interaction in two dimensions, Mathematical theory of elementary particles, MIT Press, Cambridge, Mass., 1966, pp. 69-73. MR 210416

[S 1] C. D. Sogge, Oscillatory integrals and spherical harmonics, Duke Math. J. 53 (1986), 43-65. MR 835795

[S 2] C. D. Sogge, On the convergence of Riesz means on compact manifolds, Ann. of Math. (2) 126 (1987), 439-447. MR 908154

[S 3] C. D. Sogge, Concerning the L, J. Funct. Anal. 77 (1988), 123-138. MR 930395

Review Information:
Journal: Bull. Amer. Math. Soc. 23 (1990), 222-227.
DOI: 10.1090/S0273-0979-1990-15936-1
PII: S 0273-0979(1990)15936-1

			Journals Home Search Author Info Subscribe Tech Support Help
ISSN 1088-9485(e) ISSN 0273-0979(p)

Previous issue \| Table of contents \| Next issue Articles in press \| Recently posted articles \| Most recent issue \| All issues: 1891 - Present Previous Article \| Next Article


	Comments: webmaster@ams.org © Copyright 2008, American Mathematical Society Privacy Statement		Search the AMS