Heat Kernels for Elliptic and Sub-elliptic Operators (Registro nro. 198316)

MARC details
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control field 20160812080033.0
007 - CAMPO FIJO DE DESCRIPCIÓN FIJA--INFORMACIÓN GENERAL
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008 - ELEMENTOS DE LONGITUD FIJA -- INFORMACIÓN GENERAL
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020 ## - NÚMERO INTERNACIONAL NORMALIZADO PARA LIBROS
International Standard Book Number 9780817649951
-- 978-0-8176-4995-1
040 ## - FUENTE DE CATALOGACIÓN
Transcribing agency MX-MeUAM
050 #4 - SIGNATURA TOPOGRÁFICA DE LA BIBLIOTECA DEL CONGRESO
Classification number QA370-380
082 04 - NÚMERO DE CLASIFICACIÓN DECIMAL DEWEY
Classification number 515.353
Edition number 23
100 1# - ASIENTO PRINCIPAL--NOMBRE PERSONAL
Personal name Calin, Ovidiu.
Relator term author.
245 10 - MENCIÓN DE TITULO
Title Heat Kernels for Elliptic and Sub-elliptic Operators
Medium [recurso electrónico] :
Remainder of title Methods and Techniques /
Statement of responsibility, etc. by Ovidiu Calin, Der-Chen Chang, Kenro Furutani, Chisato Iwasaki.
250 ## - MENCIÓN DE EDICIÓN
Edition statement 1.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Boston :
Name of producer, publisher, distributor, manufacturer Birkhäuser Boston,
Date of production, publication, distribution, manufacture, or copyright notice 2011.
300 ## - DESCRIPCIÓN FÍSICA
Extent XVIII, 436p. 25 illus.
Other physical details online resource.
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
Source rdacarrier
347 ## - DIGITAL FILE CHARACTERISTICS
File type text file
Encoding format PDF
Source rda
490 1# - MENCIÓN DE SERIE
Series statement Applied and Numerical Harmonic Analysis
505 0# - NOTA DE CONTENIDO
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 ## - NOTA DE RESUMEN, 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.
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650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO
Topical term or geographic name as entry element Mathematics.
650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO
Topical term or geographic name as entry element Harmonic analysis.
650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO
Topical term or geographic name as entry element Operator theory.
650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO
Topical term or geographic name as entry element Differential equations, partial.
650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO
Topical term or geographic name as entry element Global differential geometry.
650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO
Topical term or geographic name as entry element Distribution (Probability theory).
650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO
Topical term or geographic name as entry element Mathematical physics.
650 14 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO
Topical term or geographic name as entry element Mathematics.
650 24 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO
Topical term or geographic name as entry element Partial Differential Equations.
650 24 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO
Topical term or geographic name as entry element Mathematical Methods in Physics.
650 24 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO
Topical term or geographic name as entry element Operator Theory.
650 24 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO
Topical term or geographic name as entry element Differential Geometry.
650 24 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO
Topical term or geographic name as entry element Probability Theory and Stochastic Processes.
650 24 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO
Topical term or geographic name as entry element Abstract Harmonic Analysis.
700 1# - ASIENTO SECUNDARIO - NOMBRE PERSONAL
Personal name Chang, Der-Chen.
Relator term author.
700 1# - ASIENTO SECUNDARIO - NOMBRE PERSONAL
Personal name Furutani, Kenro.
Relator term author.
700 1# - ASIENTO SECUNDARIO - NOMBRE PERSONAL
Personal name Iwasaki, Chisato.
Relator term author.
710 2# - ASIENTO SECUNDARIO - NOMBRE CORPORATIVO
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
Relationship information Printed edition:
International Standard Book Number 9780817649944
830 #0 - ASIENTO SECUNDARIO DE SERIE--TITULO UNIFORME
Uniform title Applied and Numerical Harmonic Analysis
856 40 - LOCALIZACIÓN Y ACCESO ELECTRÓNICOS
Public note Libro electrónico
Uniform Resource Identifier <a href="http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-0-8176-4995-1">http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-0-8176-4995-1</a>
942 ## - TIPO DE MATERIAL (KOHA)
Koha item type Libro Electrónico
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