This book is related to the theory of functions of a-bounded type in the ha- plane of the complex plane. I constructed this theory by application of the Li- ville integro-differentiation. To some extent, it is similar to M.M.Djrbashian’s factorization theory of the classes Na of functions of a-bounded type in the disc, as much as the well known results on different classes and spaces of regular functions in the half-plane are similar to those in the disc. Besides, the book contains improvements of several results such as the Phragmen-Lindelof Principle and Nevanlinna Factorization in the Half-Plane and offers a new, equivalent definition of the classical Hardy spaces in the half-plane. The last chapter of the book presents author’s united work with G.M. Gubreev (Odessa). It gives an application of both a-theories in the disc and in the half-plane in the spectral theory of linear operators. This is a solution of a problem repeatedly stated by M.G.Krein and being of special interest for a long time. The book is proposed for a wide range of readers. Some of its parts are comprehensible for graduate students, while the book in the whole is intended for young researchers and qualified specialists in the field.
€96.29
विषयसूची
The Liouville Operator and Herglotz-Riesz Type Theorems.- Blaschke Type Products.- Equilibrium Relations and Factorizations.- Meromorphic Functions with Summable Tsuji Characteristics.- Boundary Values.- Uniform Approximations.- Subharmonic Functions with Nonnegative Harmonic Majorants.- Weighted Classes of Subharmonic Functions.- Functions of ?-Bounded Type in Spectral Theory of Non-Weak Contractions.
भाषा अंग्रेज़ी ● स्वरूप PDF ● पेज 196 ● ISBN 9780387236261 ● फाइल का आकार 7.3 MB ● प्रकाशक Springer US ● शहर NY ● देश US ● प्रकाशित 2006 ● डाउनलोड करने योग्य 24 महीने ● मुद्रा EUR ● आईडी 2143980 ● कॉपी सुरक्षा सामाजिक DRM
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