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Primer on the Dirichlet space / Omar El-Fallah...[et al.].

By: Contributor(s): Material type: TextTextSeries: Cambridge tracts in mathematics ; 203Publication details: Cambridge : CUP, 2014.Description: xiii, 211 p. : illustrations ; 24 cmISBN:
  • 9781107047525 (hardback)
Subject(s): DDC classification:
  • 515.9 23 El39
Contents:
Preface -- 1. Basic notions -- 2. Capacity -- 3. Boundary behavior -- 4. Zero sets -- 5. Multipliers -- 6. Conformal invariance -- 7. Harmonically weighted Dirichlet spaces -- 8. Invariant subspaces -- 9. 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-- References-- Index of notation-- Index.
Summary: The first systematic account of the Dirichlet space, one of the most fundamental Hilbert spaces of analytic functions.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 515.9 El39 (Browse shelf(Opens below)) Available 135422
Total holds: 0

Includes bibliographical references (pages 197-203) and indexes.

Preface --
1. Basic notions --
2. Capacity --
3. Boundary behavior --
4. Zero sets --
5. Multipliers --
6. Conformal invariance --
7. Harmonically weighted Dirichlet spaces --
8. Invariant subspaces --
9. 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--

References--
Index of notation--
Index.

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

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