02867nam a22004455i 4500 978-0-387-23626-1 DE-He213 20260521091828.0 cr nn 008mamaa 100301s2005 xxu| s |||| 0|eng d 9780387236261 99780387236261 10.1007/b102102 doi CICY 515.9 23 Jerbashian, Armen M. author. Functions of α-Bounded Type in the Half-Plane [recurso electrónico] / by Armen M. Jerbashian. Boston, MA : Springer US, 2005. XVI, 196 p. online resource. text txt rdacontent computer c rdamedia recurso en línea cr rdacarrier text file PDF rda Advances in Complex Analysis and Its Applications ; 4 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. 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. MATHEMATICS. FUNCTIONS OF COMPLEX VARIABLES. OPERATOR THEORY. MATHEMATICS. FUNCTIONS OF A COMPLEX VARIABLE. OPERATOR THEORY. SpringerLink (Online service) Springer eBooks Printed edition: 9780387236254 Advances in Complex Analysis and Its Applications ; 4 http://dx.doi.org/10.1007/b102102 Ver el texto completo en las instalaciones del CICY ddc ER 32175 32175 0 0 ddc 0 0 LE CICY CICY EL 2025-07-10 0 515.9 2025-07-10 08:39:29 2025-07-10 ER