Coverart for item
The Resource Distributions : generalized functions with applications in Sobolev spaces, Pulin Kumar Bhattacharyya

Distributions : generalized functions with applications in Sobolev spaces, Pulin Kumar Bhattacharyya

Label
Distributions : generalized functions with applications in Sobolev spaces
Title
Distributions
Title remainder
generalized functions with applications in Sobolev spaces
Statement of responsibility
Pulin Kumar Bhattacharyya
Creator
Subject
Genre
Language
eng
Summary
This book grew out of a course taught in the Department of Mathematics, Indian Institute of Technology, Delhi, which was tailored to the needs of the applied community of mathematicians, engineers, physicists etc., who were interested in studying the problems of mathematical physics in general and their approximate solutions on computer in particular. Almost all topics which will be essential for the study of Sobolev spaces and their applications in the elliptic boundary value problems and their finite element approximations are presented. Also many additional topics of interests for specific applied disciplines and engineering, for example, elementary solutions, derivatives of discontinuous functions of several variables, delta-convergent sequences of functions, Fourier series of distributions, convolution system of equations etc. have been included along with many interesting examples
Member of
Cataloging source
E7B
http://library.link/vocab/creatorName
Bhattacharyya, Pulin K
Dewey number
515/.782
Illustrations
illustrations
Index
index present
Language note
In English
LC call number
QA324
LC item number
.B46 2012eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
De Gruyter textbook
http://library.link/vocab/subjectName
  • Theory of distributions (Functional analysis)
  • Sobolev spaces
  • MATHEMATICS
  • Sobolev spaces
  • Theory of distributions (Functional analysis)
  • Distribution
  • Sobolev-Raum
  • Sobolev spaces
  • Theory of distributions (Functional analysis)
Label
Distributions : generalized functions with applications in Sobolev spaces, Pulin Kumar Bhattacharyya
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Preface ; How to use this book in courses ; Acknowledgment ; Notation ; 1 Schwartz distributions ; 1.1 Introduction: Dirac's delta function <U+0065>(x) and its properties ; 1.2 Test space D (<U+005d>) of Schwartz ; 1.2.1 Support of a continuous function ; 1.2.2 Space D (<U+005d>) ; 1.2.3 Space Dm(<U+005d>); 1.2.4 Space DK (<U+005d>) ; 1.2.5 Properties of D (<U+005d>) ; 1.3 Space D'(<U+005d>) of (Schwartz) distributions; 1.3.1 Algebraic dual space D*(<U+005d>)
  • 1.3.2 Distributions and the space D'(<U+005d>) of distributions on <U+005d>1.3.3 Characterization, order and extension of a distribution ; 1.3.4 Examples of distributions ; 1.3.5 Distribution defined on test space D(<U+005d>) of complex-valued functions ; 1.4 Some more examples of interesting distributions ; 1.5 Multiplication of distributions by C -functions ; 1.6 Problem of division of distributions
  • 1.7 Even, odd and positive distributions 1.8 Convergence of sequences of distributions in D'(<U+005d>); 1.9 Convergence of series of distributions in D'(<U+005d>) ; 1.10 Images of distributions due to change of variables, homogeneous, invariant, spherically symmetric, constant distributions ; 1.10.1 Periodic distributions
  • 1.11 Physical distributions versus mathematical distributions 1.11.1 Physical interpretation of mathematical distributions ; 1.11.2 Load intensity ; 1.11.3 Electrical charge distribution ; 1.11.4 Simple layer and double layer distributions
  • 1.11.5 Relation with probability distribution [7] 2 Differentiation of distributions and application of distributional derivatives ; 2.1 Introduction: an integral definition of derivatives of C1-functions ; 2.2 Derivatives of distributions
Control code
808342072
Dimensions
unknown
Extent
1 online resource (xxxviii, 833 pages)
Form of item
online
Isbn
9783110269291
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1515/9783110269291
Other physical details
illustrations
http://library.link/vocab/ext/overdrive/overdriveId
b4ac7db7-01b6-41b6-9672-b80a4cd0743d
Specific material designation
remote
System control number
(OCoLC)808342072
Label
Distributions : generalized functions with applications in Sobolev spaces, Pulin Kumar Bhattacharyya
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Preface ; How to use this book in courses ; Acknowledgment ; Notation ; 1 Schwartz distributions ; 1.1 Introduction: Dirac's delta function <U+0065>(x) and its properties ; 1.2 Test space D (<U+005d>) of Schwartz ; 1.2.1 Support of a continuous function ; 1.2.2 Space D (<U+005d>) ; 1.2.3 Space Dm(<U+005d>); 1.2.4 Space DK (<U+005d>) ; 1.2.5 Properties of D (<U+005d>) ; 1.3 Space D'(<U+005d>) of (Schwartz) distributions; 1.3.1 Algebraic dual space D*(<U+005d>)
  • 1.3.2 Distributions and the space D'(<U+005d>) of distributions on <U+005d>1.3.3 Characterization, order and extension of a distribution ; 1.3.4 Examples of distributions ; 1.3.5 Distribution defined on test space D(<U+005d>) of complex-valued functions ; 1.4 Some more examples of interesting distributions ; 1.5 Multiplication of distributions by C -functions ; 1.6 Problem of division of distributions
  • 1.7 Even, odd and positive distributions 1.8 Convergence of sequences of distributions in D'(<U+005d>); 1.9 Convergence of series of distributions in D'(<U+005d>) ; 1.10 Images of distributions due to change of variables, homogeneous, invariant, spherically symmetric, constant distributions ; 1.10.1 Periodic distributions
  • 1.11 Physical distributions versus mathematical distributions 1.11.1 Physical interpretation of mathematical distributions ; 1.11.2 Load intensity ; 1.11.3 Electrical charge distribution ; 1.11.4 Simple layer and double layer distributions
  • 1.11.5 Relation with probability distribution [7] 2 Differentiation of distributions and application of distributional derivatives ; 2.1 Introduction: an integral definition of derivatives of C1-functions ; 2.2 Derivatives of distributions
Control code
808342072
Dimensions
unknown
Extent
1 online resource (xxxviii, 833 pages)
Form of item
online
Isbn
9783110269291
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1515/9783110269291
Other physical details
illustrations
http://library.link/vocab/ext/overdrive/overdriveId
b4ac7db7-01b6-41b6-9672-b80a4cd0743d
Specific material designation
remote
System control number
(OCoLC)808342072

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