الصفحة 1
الصفحة 1
Theoretical Kaleidoscope
The book is based on lectures given by the author over many years. The main source of problems addressed in the book are taken from the author's own investigations, as well as discussions with colleagues and students. With this book, the author hopes readers will be able to see the examples and engage in thoughtful discussions and arguments of their own. Topics discussed in this book include: classical mechanics / wave phenomena / atomic physics / semiclassical approximation in complex plane / quantum electrodynamics
Functions of a-Bounded Type in the Half-Plane
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.
