A primer on the Dirichlet space

by El-Fallah, Omar

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The first systematic account of the Dirichlet space, one of the most fundamental Hilbert spaces of analytic functions.

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Title Statements

Full title :A primer on the Dirichlet space / Omar El-Fallah ... [et al.].

Summary

The first systematic account of the Dirichlet space, one of the most fundamental Hilbert spaces of analytic functions.

Edition Statements

Publication Date:2014.

Publication Statements

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

The Physical Object

Description:1 online resource (1 v.) : : illustrations

Edition Identifiers

ISBN:9781107732216, 1107732212, 9781107724099, 1107724090, 1306459311, 9781306459310, 9781107728707, 1107728703, 9781107239425, 1107239427
oclc:ocn929758739
LC Classification:QA315
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 Espace de Hilbert Fonctions d'une variable complexe Fonctions holomorphes Functions of complex variables Hilbert space holomorphic functions Principe de Dirichlet