The Resource Geometric applications of Fourier series and spherical harmonics, H. Groemer
Geometric applications of Fourier series and spherical harmonics, H. Groemer
Resource Information
The item Geometric applications of Fourier series and spherical harmonics, H. Groemer represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Massey University Library, University of New Zealand.This item is available to borrow from 1 library branch.
Resource Information
The item Geometric applications of Fourier series and spherical harmonics, H. Groemer represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Massey University Library, University of New Zealand.
This item is available to borrow from 1 library branch.
 Summary
 This book provides a comprehensive presentation of geometric results, primarily from the theory of convex sets, that have been proved by the use of Fourier series or spherical harmonics. Almost all these geometric results appear here in book form for the first time. An important feature of the book is that all the necessary tools from classical theory of spherical harmonics are developed as concretely as possible, with full proofs. These tools are used to prove geometric inequalities, stability results, uniqueness results for projections and intersections by hyperplanes or halfspaces, and characterizations of rotors in convex polytopes. Again, full proofs are given. To make the treatment as selfcontained as possible the book begins with background material in analysis and the geometry of convex sets. This treatise will be welcomed both as an introduction to the subject and as a reference book for pure and applied mathematicians
 Language
 eng
 Extent
 1 online resource (xi, 329 pages)
 Contents

 1. Analytic Preparations
 2. Geometric Preparations
 3. Fourier Series and Spherical Harmonics
 4. Geometric Applications of Fourier Series
 5. Geometric Applications of Spherical Harmonics
 Isbn
 9781107088818
 Label
 Geometric applications of Fourier series and spherical harmonics
 Title
 Geometric applications of Fourier series and spherical harmonics
 Statement of responsibility
 H. Groemer
 Language
 eng
 Summary
 This book provides a comprehensive presentation of geometric results, primarily from the theory of convex sets, that have been proved by the use of Fourier series or spherical harmonics. Almost all these geometric results appear here in book form for the first time. An important feature of the book is that all the necessary tools from classical theory of spherical harmonics are developed as concretely as possible, with full proofs. These tools are used to prove geometric inequalities, stability results, uniqueness results for projections and intersections by hyperplanes or halfspaces, and characterizations of rotors in convex polytopes. Again, full proofs are given. To make the treatment as selfcontained as possible the book begins with background material in analysis and the geometry of convex sets. This treatise will be welcomed both as an introduction to the subject and as a reference book for pure and applied mathematicians
 http://library.link/vocab/creatorName
 Groemer, H
 Dewey number
 515/.2433
 Index
 index present
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 Encyclopedia of mathematics and its applications
 Series volume
 volume 61
 http://library.link/vocab/subjectName

 Convex sets
 Fourier series
 Spherical harmonics
 Label
 Geometric applications of Fourier series and spherical harmonics, H. Groemer
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references (pages 311318) and indexes
 Color
 multicolored
 Contents
 1. Analytic Preparations  2. Geometric Preparations  3. Fourier Series and Spherical Harmonics  4. Geometric Applications of Fourier Series  5. Geometric Applications of Spherical Harmonics
 Control code
 ocn861692308
 Dimensions
 unknown
 Extent
 1 online resource (xi, 329 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9781107088818
 Level of compression
 unknown
 Note
 eBooks on EBSCOhost
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)861692308
 Label
 Geometric applications of Fourier series and spherical harmonics, H. Groemer
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references (pages 311318) and indexes
 Color
 multicolored
 Contents
 1. Analytic Preparations  2. Geometric Preparations  3. Fourier Series and Spherical Harmonics  4. Geometric Applications of Fourier Series  5. Geometric Applications of Spherical Harmonics
 Control code
 ocn861692308
 Dimensions
 unknown
 Extent
 1 online resource (xi, 329 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9781107088818
 Level of compression
 unknown
 Note
 eBooks on EBSCOhost
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)861692308
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.massey.ac.nz/portal/GeometricapplicationsofFourierseriesand/31Ax3QrodVs/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.massey.ac.nz/portal/GeometricapplicationsofFourierseriesand/31Ax3QrodVs/">Geometric applications of Fourier series and spherical harmonics, H. Groemer</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.massey.ac.nz/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.massey.ac.nz/">Massey University Library, University of New Zealand</a></span></span></span></span></div>