Operator Valued Measures And Integrals For Cone Valued Functions
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Operator-Valued Measures and Integrals for Cone-Valued Functions
Author: Walter Roth
language: en
Publisher: Springer Science & Business Media
Release Date: 2009-02-05
Integration theory deals with extended real-valued, vector-valued, or operator-valued measures and functions, but different approaches are used for each case. This book develops a general theory of integration that simultaneously deals with all three cases.
Operator-Valued Measures and Integrals for Cone-Valued Functions
Integration theory deals with extended real-valued, vector-valued, or operator-valued measures and functions. Different approaches are applied in each of these cases using different techniques. The order structure of the (extended) real number system is used for real-valued functions and measures whereas suprema and infima are replaced with topological limits in the vector-valued case. A novel approach employing more general structures, locally convex cones, which are natural generalizations of locally convex vector spaces, is introduced here. This setting allows developing a general theory of integration which simultaneously deals with all of the above-mentioned cases.
Generalized Bessel Functions of the First Kind
Author: Árpád Baricz
language: en
Publisher: Springer Science & Business Media
Release Date: 2010-05-25
This volume studies the generalized Bessel functions of the first kind by using a number of classical and new findings in complex and classical analysis. It presents interesting geometric properties and functional inequalities for these generalized functions.