Jerbashian, Armen M. creator author. SpringerLink (Online service) text xxu 2005 monographic eng

electronic

recurso electrónico

access XVI, 196 p. online resource. This is a unique book related to the theory of functions of a-bounded type in the half-plane of the complex plane, which is constructed by application of the Liouville integro-differential operator. In addition, 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 an application of the constructed theory as well as M.M.Djrbashian's theory of Nevanlinna type classes in the disc 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. Audience 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 new researchers and qualified specialists in the field. 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. by Armen M. Jerbashian. MATHEMATICS FUNCTIONS OF COMPLEX VARIABLES OPERATOR THEORY MATHEMATICS FUNCTIONS OF A COMPLEX VARIABLE OPERATOR THEORY 515.9 9780387236261 99780387236261 http://dx.doi.org/10.1007/b102102 http://dx.doi.org/10.1007/b102102 100301 20260521091828.0 978-0-387-23626-1