TY - BOOK ID - 206907 TI - Functions of [alpha]-bounded type in the half-plane PY - 2005 SN - 1280189991 9786610189991 0387236260 0387236252 PB - [New York] : Springer, DB - UniCat KW - Complexes. KW - Boundary value problems KW - Numerical solutions. KW - Linear complexes KW - Algebras, Linear KW - Coordinates KW - Geometry KW - Line geometry KW - Transformations (Mathematics) UR - https://www.unicat.be/uniCat?func=search&query=sysid:206907 AB - 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. ER -