The Resource Matrix convolution operators on groups, Cho-Ho Chu

Matrix convolution operators on groups, Cho-Ho Chu

Label
Matrix convolution operators on groups
Title
Matrix convolution operators on groups
Statement of responsibility
Cho-Ho Chu
Creator
Subject
Genre
Language
eng
Summary
"Recently, convolution operators of matrix functions have received unusual attention due to their diverse applications. This monograph presents some new developments in the spectral theory of these operators. The setting is the L[superscript P] spaces of matrix-valued functions on locally compact groups. The focus is on the spectra and eigenspaces of convolution operators on these spaces, defined by matrix-valued measures. Among various spectral results, the L[superscript 2]-spectrum of such an operator is completely determined and as an application, the spectrum of a discrete Laplacian on a homogeneous graph is computed using this result. The contractivity properties of matrix convolution semigroups are studied and applications to harmonic functions on Lie groups and Riemannian symmetric spaces are discussed. An interesting feature is the presence of Jordan algebraic structures in matrix-harmonic functions."--BOOK JACKET
Member of
Cataloging source
BTCTA
http://library.link/vocab/creatorName
Chu, Cho-Ho
Index
index present
LC call number
QA3
LC item number
.L35 v.1956
Literary form
non fiction
Nature of contents
bibliography
Series statement
Lecture notes in mathematics
Series volume
1956
http://library.link/vocab/subjectName
  • Matrix groups
  • Convolutions (Mathematics)
  • Groupes de matrices
  • Convolutions (Mathématiques)
  • Matrixfunktion
  • Lp-Raum
  • Faltungsoperator
  • Faltungshalbgruppe
  • Convolutions (Mathematics)
  • Matrix groups
Label
Matrix convolution operators on groups, Cho-Ho Chu
Instantiates
Publication
Bibliography note
Includes bibliographical references (p. 101-103) and index
Contents
  • Lebesgue spaces of matrix functions
  • Matrix convolution operators
  • Convolution semigroups
Dimensions
23 cm.
Extent
ix, 108 p.
Isbn
9783540697978
Specific material designation
remote
System control number
  • (OCoLC)232976391
  • (OCoLC)ocn232976391
Label
Matrix convolution operators on groups, Cho-Ho Chu
Publication
Bibliography note
Includes bibliographical references (p. 101-103) and index
Contents
  • Lebesgue spaces of matrix functions
  • Matrix convolution operators
  • Convolution semigroups
Dimensions
23 cm.
Extent
ix, 108 p.
Isbn
9783540697978
Specific material designation
remote
System control number
  • (OCoLC)232976391
  • (OCoLC)ocn232976391

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