Representation Theorems in Hardy Spaces

Author: Javad Mashreghi
Publisher: Cambridge University Press
ISBN: 9780521517683
Release Date: 2009-03-19
Genre: Mathematics

This self-contained text provides an introduction to a wide range of representation theorems and provides a complete description of the representation theorems with direct proofs for both classes of Hardy spaces: Hardy spaces of the open unit disc and Hardy spaces of the upper half plane.

Catherine Beneteau Alberto A Condori Constanze Liaw William T Ross and Alan A Sola

Author: Catherine Bénéteau:
Publisher: American Mathematical Soc.
ISBN: 9781470423056
Release Date: 2016-12-22
Genre: Analytic functions

This volume contains the Proceedings of the Conference on Completeness Problems, Carleson Measures, and Spaces of Analytic Functions, held from June 29–July 3, 2015, at the Institut Mittag-Leffler, Djursholm, Sweden. The conference brought together experienced researchers and promising young mathematicians from many countries to discuss recent progress made in function theory, model spaces, completeness problems, and Carleson measures. This volume contains articles covering cutting-edge research questions, as well as longer survey papers and a report on the problem session that contains a collection of attractive open problems in complex and harmonic analysis.

The Theory of H b Spaces

Author: Emmanuel Fricain
Publisher: Cambridge University Press
ISBN: 9781316060919
Release Date: 2016-05-26
Genre: Mathematics

An H(b) space is defined as a collection of analytic functions which are in the image of an operator. The theory of H(b) spaces bridges two classical subjects: complex analysis and operator theory, which makes it both appealing and demanding. The first volume of this comprehensive treatment is devoted to the preliminary subjects required to understand the foundation of H(b) spaces, such as Hardy spaces, Fourier analysis, integral representation theorems, Carleson measures, Toeplitz and Hankel operators, various types of shift operators, and Clark measures. The second volume focuses on the central theory. Both books are accessible to graduate students as well as researchers: each volume contains numerous exercises and hints, and figures are included throughout to illustrate the theory. Together, these two volumes provide everything the reader needs to understand and appreciate this beautiful branch of mathematics.

Introduction to Model Spaces and their Operators

Author: Stephan Ramon Garcia
Publisher: Cambridge University Press
ISBN: 9781107108745
Release Date: 2016-05-06
Genre: Mathematics

A self-contained textbook which opens up this challenging field to newcomers and points to areas of future research.

1089 oder das Wunder der Zahlen

Author: David J. Acheson
ISBN: 3866470207
Release Date: 2006

Das Buch beginnt mit einem alten Zaubertrick - Man nehme eine 3-stellige Zahl, etwa 782, kehre sie um, ziehe die kleinere von der größeren ab und addiere dazu die Umkehrung. Also - 782 - 287 = 495, dann 495 + 594. Und schon ist man mitten in der Wunderwelt der Mathematik, denn das Ergebnis ist immer - 1089. Mit solchen und vielen weiteren Beispielen aus Alltag, Geschichte und Wissenschaft gelingt es David Acheson, die faszinierende Welt der Mathematik zu erschließen - ein geistreicher Überblick, eine für jeden verständliche Einführung.

Books in Series

ISBN: STANFORD:36105015640415
Release Date: 1979
Genre: Monographic series