The Resource Geometric applications of Fourier series and spherical harmonics, H. Groemer, (electronic resource)

Geometric applications of Fourier series and spherical harmonics, H. Groemer, (electronic resource)

Label
Geometric applications of Fourier series and spherical harmonics
Title
Geometric applications of Fourier series and spherical harmonics
Statement of responsibility
H. Groemer
Creator
Subject
Genre
Language
  • eng
  • eng
Summary
A full exposition of the classical theory of spherical harmonics and their use in proving stability results
Member of
Cataloging source
MiAaPQ
http://library.link/vocab/creatorName
Groemer, H
Dewey number
515.2433
Index
index present
Language note
English
LC call number
QA640
LC item number
.G76 1996
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
  • Encyclopedia of mathematics and its applications
  • Encyclopedia of Mathematics and its Applications
Series volume
v. 61
http://library.link/vocab/subjectName
  • Convex sets
  • Fourier series
  • Spherical harmonics
Label
Geometric applications of Fourier series and spherical harmonics, H. Groemer, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and indexes
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
  • Cover; Title; Copyright; Dedication; Contents; Preface; 1 Analytic Preparations; 1.1 Inner Product, Norm, and Orthogonality of Functions; 1.2 The Gradient and Beltrami Operator; 1.3 Spherical Integration and Orthogonal Transformations; 2 Geometric Preparations; 2.1 Basic Features of Convex Sets; 2.2 Support Functions; 2.3 Metrics for Sets of Convex Bodies; 2.4 Mixed Volumes and Mean Projection Measures; 2.5 Inequalities; 2.6 Difference Bodies, Projection Bodies, Steiner Point, and Centroid; 3 Fourier Series and Spherical Harmonics; 3.1 From Fourier Series to Spherical Harmonics
  • 3.2 Orthogonality, Completeness, and Series Expansions3.3 Legendre Polynomials; 3.4 Some Integral Transformations and the Funk-Hecke Theorem; 3.5 Zonal Harmonics and Associated Legendre Functions; 3.6 Estimates and Uniform Convergence; 4 Geometric Applications of Fourier Series; 4.1 A Proof of Hurwitz of the Isoperimetric Inequality; 4.2 The Fourier Expansion of the Support Function; 4.3 The Isoperimetric and Related Inequalities; 4.4 Wirtinger's Inequality; 4.5 Rotors and Tangential Polygons; 4.6 Other Geometric Applications of Fourier Series; 5 Geometric Applications of Spherical Harmonics
  • 5.1 The Harmonic Expansion of the Support Function5.2 Inequalities for Mean Projection Measures and Mixed Volumes; 5.3 The Isoperimetric Inequality; 5.4 Wirtinger's Inequality for Functions on the Sphere; 5.5 Projections of Convex Bodies; 5.6 Intersections of Convex Bodies with Planes or Half-Spaces; 5.7 Rotors in Polytopes; 5.8 Other Geometric Applications of Spherical Harmonics; References; List of Symbols; Author Index; Subject Index
Dimensions
unknown
Extent
1 online resource (343 p.)
Form of item
online
Isbn
9780511530005
Media category
computer
Media type code
  • c
Specific material designation
remote
System control number
  • (CKB)2550000001163965
  • (EBL)1182493
  • (OCoLC)846895244
  • (SSID)ssj0000459780
  • (PQKBManifestationID)11300199
  • (PQKBTitleCode)TC0000459780
  • (PQKBWorkID)10473498
  • (PQKB)10465643
  • (UkCbUP)CR9780511530005
  • (MiAaPQ)EBC1182493
  • (EXLCZ)992550000001163965
Label
Geometric applications of Fourier series and spherical harmonics, H. Groemer, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and indexes
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
  • Cover; Title; Copyright; Dedication; Contents; Preface; 1 Analytic Preparations; 1.1 Inner Product, Norm, and Orthogonality of Functions; 1.2 The Gradient and Beltrami Operator; 1.3 Spherical Integration and Orthogonal Transformations; 2 Geometric Preparations; 2.1 Basic Features of Convex Sets; 2.2 Support Functions; 2.3 Metrics for Sets of Convex Bodies; 2.4 Mixed Volumes and Mean Projection Measures; 2.5 Inequalities; 2.6 Difference Bodies, Projection Bodies, Steiner Point, and Centroid; 3 Fourier Series and Spherical Harmonics; 3.1 From Fourier Series to Spherical Harmonics
  • 3.2 Orthogonality, Completeness, and Series Expansions3.3 Legendre Polynomials; 3.4 Some Integral Transformations and the Funk-Hecke Theorem; 3.5 Zonal Harmonics and Associated Legendre Functions; 3.6 Estimates and Uniform Convergence; 4 Geometric Applications of Fourier Series; 4.1 A Proof of Hurwitz of the Isoperimetric Inequality; 4.2 The Fourier Expansion of the Support Function; 4.3 The Isoperimetric and Related Inequalities; 4.4 Wirtinger's Inequality; 4.5 Rotors and Tangential Polygons; 4.6 Other Geometric Applications of Fourier Series; 5 Geometric Applications of Spherical Harmonics
  • 5.1 The Harmonic Expansion of the Support Function5.2 Inequalities for Mean Projection Measures and Mixed Volumes; 5.3 The Isoperimetric Inequality; 5.4 Wirtinger's Inequality for Functions on the Sphere; 5.5 Projections of Convex Bodies; 5.6 Intersections of Convex Bodies with Planes or Half-Spaces; 5.7 Rotors in Polytopes; 5.8 Other Geometric Applications of Spherical Harmonics; References; List of Symbols; Author Index; Subject Index
Dimensions
unknown
Extent
1 online resource (343 p.)
Form of item
online
Isbn
9780511530005
Media category
computer
Media type code
  • c
Specific material designation
remote
System control number
  • (CKB)2550000001163965
  • (EBL)1182493
  • (OCoLC)846895244
  • (SSID)ssj0000459780
  • (PQKBManifestationID)11300199
  • (PQKBTitleCode)TC0000459780
  • (PQKBWorkID)10473498
  • (PQKB)10465643
  • (UkCbUP)CR9780511530005
  • (MiAaPQ)EBC1182493
  • (EXLCZ)992550000001163965

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