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Heat Kernels for Elliptic and Sub-elliptic Operators (Record no. 22680)

000 -LEADER
fixed length control field 04281nam a22005655i 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20140310151442.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 101013s2011 xxu| s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780817649951
978-0-8176-4995-1
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA370-380
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.353
Edition number 23
264 #1 -
-- Boston :
-- Birkhäuser Boston,
-- 2011.
912 ## -
-- ZDB-2-SMA
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Calin, Ovidiu.
Relator term author.
245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE
Title Heat Kernels for Elliptic and Sub-elliptic Operators
Medium [electronic resource] :
Remainder of title Methods and Techniques /
Statement of responsibility, etc by Ovidiu Calin, Der-Chen Chang, Kenro Furutani, Chisato Iwasaki.
250 ## - EDITION STATEMENT
Edition statement 1.
300 ## - PHYSICAL DESCRIPTION
Extent XVIII, 436p. 25 illus.
Other physical details online resource.
440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE
Title Applied and Numerical Harmonic Analysis
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Part I. Traditional Methods for Computing Heat Kernels -- Introduction -- Stochastic Analysis Method -- A Brief Introduction to Calculus of Variations -- The Path Integral Approach -- The Geometric Method -- Commuting Operators -- Fourier Transform Method -- The Eigenfunctions Expansion Method -- Part II. Heat Kernel on Nilpotent Lie Groups and Nilmanifolds -- Laplacians and Sub-Laplacians -- Heat Kernels for Laplacians and Step 2 Sub-Laplacians -- Heat Kernel for Sub-Laplacian on the Sphere S^3 -- Part III. Laguerre Calculus and Fourier Method -- Finding Heat Kernels by Using Laguerre Calculus -- Constructing Heat Kernel for Degenerate Elliptic Operators -- Heat Kernel for the Kohn Laplacian on the Heisenberg Group -- Part IV. Pseudo-Differential Operators -- The Psuedo-Differential Operators Technique -- Bibliography -- Index.
520 ## - SUMMARY, ETC.
Summary, etc This monograph is a unified presentation of several theories of finding explicit formulas for heat kernels for both elliptic and sub-elliptic operators. These kernels are important in the theory of parabolic operators because they describe the distribution of heat on a given manifold as well as evolution phenomena and diffusion processes. The work is divided into four main parts: Part I treats the heat kernel by traditional methods, such as the Fourier transform method, paths integrals, variational calculus, and eigenvalue expansion; Part II deals with the heat kernel on nilpotent Lie groups and nilmanifolds; Part III examines Laguerre calculus applications; Part IV uses the method of pseudo-differential operators to describe heat kernels. Topics and features: •comprehensive treatment from the point of view of distinct branches of mathematics, such as stochastic processes, differential geometry, special functions, quantum mechanics, and PDEs; •novelty of the work is in the diverse methods used to compute heat kernels for elliptic and sub-elliptic operators; •most of the heat kernels computable by means of elementary functions are covered in the work; •self-contained material on stochastic processes and variational methods is included. Heat Kernels for Elliptic and Sub-elliptic Operators is an ideal reference for graduate students, researchers in pure and applied mathematics, and theoretical physicists interested in understanding different ways of approaching evolution operators.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
Topical term or geographic name as entry element Harmonic analysis.
Topical term or geographic name as entry element Operator theory.
Topical term or geographic name as entry element Differential equations, partial.
Topical term or geographic name as entry element Global differential geometry.
Topical term or geographic name as entry element Distribution (Probability theory).
Topical term or geographic name as entry element Mathematical physics.
Topical term or geographic name as entry element Mathematics.
Topical term or geographic name as entry element Partial Differential Equations.
Topical term or geographic name as entry element Mathematical Methods in Physics.
Topical term or geographic name as entry element Operator Theory.
Topical term or geographic name as entry element Differential Geometry.
Topical term or geographic name as entry element Probability Theory and Stochastic Processes.
Topical term or geographic name as entry element Abstract Harmonic Analysis.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Chang, Der-Chen.
Relator term author.
Personal name Furutani, Kenro.
Relator term author.
Personal name Iwasaki, Chisato.
Relator term author.
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9780817649944
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/978-0-8176-4995-1
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Item type E-Book
Copies
Price effective from Permanent location Date last seen Not for loan Date acquired Source of classification or shelving scheme Koha item type Damaged status Lost status Withdrawn status Current location Full call number
2014-04-09AUM Main Library2014-04-09 2014-04-09 E-Book   AUM Main Library515.353
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