A primer on the Dirichlet space

by El-Fallah, Omar

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Title Statements

Full title :A primer on the Dirichlet space / Omar El-Fallah, Université Mohammed V-Agdal, Rabat, Morocco ; Karim Kellay, Université Bordeaux 1, Bordeaux, France ; Javad Mashreghi, Université Laval, Québec, Canada ; Thomas Ransford, Université Laval, Québec, Canada.

Edition Statements

Publication Date:2014.

Publication Statements

Publisher(s):Cambridge University Press
Place of Publication:Cambridge, United Kingdom
Language:eng
Publication Date:2014.

The Physical Object

Description:xiii, 211 pages : : illustrations ; : 24 cm.

Edition Identifiers

ISBN:9781107047525, 1107047528
oclc:ocn861318456
LC Classification:QA331.7
Dewey Decimal:515.9

Preface -- Basic notions -- Capacity -- Boundary behavior -- Zero sets -- Multipliers -- Conformal invariance -- Harmonically weighted Dirichlet spaces -- Invariant subspaces -- Cyclicity -- Appendix A. Hardy spaces -- Appendix B. The Hardy-Littlewood maximal function -- Appendix C. Positive definite matrices -- Appendix D. Regularization and the rising-sun lemma.

Subjects

Dirichlet principle Dirichlet-Raum Espace de Hilbert Fonctions d'une variable complexe Fonctions holomorphes Functions of complex variables Funktioner av komplexa variabler Hilbert space holomorphic functions mathematics Principe de Dirichlet