| 000 -LEADER |
|---|
| fixed length control field |
01372nmm a2200205Ia 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
|---|
| fixed length control field |
230302s9999||||xx |||||||||||||||||und|| |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9781470417505 (online) |
| 050 ## - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
QA377 |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Grigoryan, A. |
| 245 #0 - TITLE STATEMENT |
|---|
| Title |
Heat kernel and analysis on manifolds |
| Medium |
: AMSIP volume 47 |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
|---|
| Place of publication, distribution, etc. |
Providence, R.I. :;[Somerville, Mass.] : |
| Name of publisher, distributor, etc. |
American Mathematical Society : International Press, |
| Date of publication, distribution, etc. |
c2009. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
1 online resource (xvii, 482 p. : ill.) |
| 490 ## - SERIES STATEMENT |
|---|
| Series statement |
AMS/IP Studies in Advanced Mathematics, |
| Volume/sequential designation |
v. 47 |
| International Standard Serial Number |
2472-5153 |
| 505 ## - FORMATTED CONTENTS NOTE |
|---|
| Title |
Laplace operator and the heat equation in |
| -- |
mathbb {R}^n |
| -- |
; Function spaces in |
| -- |
mathbb {R}^n |
| -- |
; Laplace operator on a Riemannian manifold ; Laplace operator and heat equation in |
| -- |
^{2}(M) |
| -- |
; Weak maximum principle and related topics ; Regularity theory in |
| -- |
mathbb {R}^n |
| -- |
; The heat kernel on a manifold ; Positive solutions ; Heat kernel as a fundamental solution ; Spectral properties ; Distance function and completeness ; Gaussian estimates in the integrated form ; Green function and Green operator ; Ultracontractive estimates and eigenvalues ; Pointwise Gaussian estimates I ; Pointwise Gaussian estimates II ; Appendix A. Reference material |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Gaussian processes |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Heat equation |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Kernel functions |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Riemannian manifolds |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
<a href="http://www.ams.org/amsip/047">http://www.ams.org/amsip/047</a> |
