Muutke küpsiste eelistusi

Hilbert Spaces of Analytic Functions [Pehme köide]

Edited by , Edited by , Edited by
  • Formaat: Paperback / softback, 214 pages, kaal: 426 g
  • Sari: CRM Proceedings & Lecture Notes
  • Ilmumisaeg: 19-Jul-2010
  • Kirjastus: American Mathematical Society
  • ISBN-10: 0821848798
  • ISBN-13: 9780821848791
Teised raamatud teemal:
  • Formaat: Paperback / softback, 214 pages, kaal: 426 g
  • Sari: CRM Proceedings & Lecture Notes
  • Ilmumisaeg: 19-Jul-2010
  • Kirjastus: American Mathematical Society
  • ISBN-10: 0821848798
  • ISBN-13: 9780821848791
Teised raamatud teemal:
Hilbert spaces of analytic functions are currently a very active field of complex analysis. The Hardy space is the most senior member of this family. However, other classes of analytic functions such as the classical Bergman space, the Dirichlet space, the de Branges-Rovnyak spaces, and various spaces of entire functions, have been extensively studied. These spaces have been exploited in different fields of mathematics and also in physics and engineering. For example, de Branges used them to solve the Bieberbach conjecture. Modern control theory is another place that heavily exploits the techniques of analytic function theory. This book grew out of a workshop held in December 2008 at the CRM in Montreal and provides an account of the latest developments in the field of analytic function theory. Titles in this series are co-published with the Centre de Recherches Mathematiques. (CRMP/51)
List of Participants
vii
List of Speakers
ix
Preface xi
Canonical de Branges-Rovnyak Model Transfer-Function Realization for Multivariable Schur-Class Functions
1(40)
Joseph A. Ball
Vladimir Bolotnikov
Two Variations on the Drury-Arveson Space
41(18)
Nicola Arcozzi
Richard Rochberg
Eric Swayer
The Norm of a Truncated Toeplitz Operator
59(6)
Stephan Ramon Garcia
William T. Ross
Approximation in Weighted Hardy Spaces for the Unit Disc
65(16)
Andre Boivin
Changzhong Zhu
Some Remarks on the Toeplitz Corona Problem
81(10)
Ronald Douglas
Jaydeb Sarkar
Regularity on the Boundary in Spaces of Holomorphic Functions on the Unit Disc
91(30)
Emmanuel Fricain
Andreas Hartmann
The Search for Singularities of Solutions to the Dirichlet Problem: Recent Developments
121(12)
Dmitry Khavinson
Eric Lundberg
Invariant Subspaces of the Dirichlet Space
133(10)
Omar El-Fallah
Karim Kellay
Thomas Ransford
Arguments of Zero Sets in the Dirichlet Space
143(6)
Javad Mashreghi
Thomas Ransford
Mahmood Shabankhah
Questions on Volterra Operators
149(4)
Jaroslov Zemanek
Nonhomogeneous Div-Curl Decompositions for Local Hardy Spaces on a Domain
153(12)
Der-Chen Chang
Galia Dafni
Hong Yue
On the Bohr Radius for Simply Connected Plane Domains
165(8)
Richard Fournier
Stephan Ruscheweyh
Completeness of the System {f(λnz} in L2a[ Ω]
173(24)
Andre Boivin
Changzhong Zhu
A Formula for the Logarithmic Derivative and Its Applications
197(6)
Javad Mashreghi
Composition Operators on the Minimal Mobius Invariant Space
203(8)
Hasi Wulan
Chengji Xiong
Whether Regularity is Local for the Generalized Dirichlet Problem
211
Paul M. Gauthier