TY - BOOK AU - El-Fallah,Omar AU - Kellay,Karim AU - Mashreghi,Javad AU - Ransford,Thomas TI - Primer on the Dirichlet space T2 - Cambridge tracts in mathematics SN - 9781107047525 (hardback) U1 - 515.9 23 PY - 2014/// CY - Cambridge PB - CUP KW - Dirichlet principle KW - Hilbert space KW - Holomorphic functions KW - Functions of complex variables KW - Dirichlet-Raum N1 - 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 N2 - The first systematic account of the Dirichlet space, one of the most fundamental Hilbert spaces of analytic functions ER -