Cantitate/Preț
Produs

Fractional Cauchy Transforms: Monographs and Surveys in Pure and Applied Mathematics

Autor Rita A. Hibschweiler
en Limba Engleză Hardback – noi 2005
Presenting new results along with research spanning five decades, Fractional Cauchy Transforms provides a full treatment of the topic, from its roots in classical complex analysis to its current state. Self-contained, it includes introductory material and classical results, such as those associated with complex-valued measures on the unit circle, that form the basis of the developments that follow. The authors focus on concrete analytic questions, with functional analysis providing the general framework.

After examining basic properties, the authors study integral means and relationships between the fractional Cauchy transforms and the Hardy and Dirichlet spaces. They then study radial and nontangential limits, followed by chapters devoted to multipliers, composition operators, and univalent functions. The final chapter gives an analytic characterization of the family of Cauchy transforms when considered as functions defined in the complement of the unit circle.

About the authors:

Rita A. Hibschweiler is a Professor in the Department of Mathematics and Statistics at the University of New Hampshire, Durham, USA.

Thomas H. MacGregor is Professor Emeritus, State University of New York at Albany and a Research Associate at Bowdoin College, Brunswick, Maine, USA.\
Citește tot Restrânge

Din seria Monographs and Surveys in Pure and Applied Mathematics

Preț: 76424 lei

Preț vechi: 102813 lei
-26% Nou

Puncte Express: 1146

Preț estimativ în valută:
14627 15204$ 12117£

Comandă specială

Livrare economică 15-29 ianuarie 25

Doresc să fiu notificat când acest titlu va fi disponibil:

Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9781584885603
ISBN-10: 1584885602
Pagini: 268
Ilustrații: 50 b/w images and 500 equations
Dimensiuni: 156 x 234 x 20 mm
Greutate: 0.52 kg
Ediția:1
Editura: CRC Press
Colecția Chapman and Hall/CRC
Seria Monographs and Surveys in Pure and Applied Mathematics


Public țintă

Professional

Cuprins

Introduction. Basic Properties of fa o. Integral Means and the Hardy and Dirichlet Spaces. Radial Limits. Zeros. Multipliers: Basic Results. Multipliers: Further Results. Composition. Univalent Functions. A Characterization of Cauchy Transforms.

Notă biografică

Rita A. Hibschweiler is a Professor in the Department of Mathematics and Statistics at the University of New Hampshire, Durham, USA., Thomas H. MacGregor is Professor Emeritus, State University of New York at Albany and a Research Associate at Bowdoin College. Brunswick, Maine, USA.

Descriere

Presenting new results along with research spanning five decades, Fractional Cauchy Transforms provides a full treatment of the topic, from its roots in classical complex analysis to its current state. Self-contained with numerous references, it includes introductory material and classical results, such as those associated with complex-valued measures on the unit circle, that form the basis of the developments that follow. The authors focus on concrete analytic questions, with functional analysis providing the general framework. Discussions include radial limits, exceptional sets, zeros, factorization, and the relations between fractional Cauchy transforms and Dirichlet and Besov spaces .