Introduction to the Modern Theory of Functional Calculus for Closed Operators (3/3)

Date

Jan 23, 2014

Time

3:10 PM - 4:40 PM

Speaker

Dr. Mihály Kovács

Affiliation

University of Otago, New Zealand

Language

en

Main Topic

Mathematik

Other Topics

Mathematik

Host

Prof. Dr. R. Schilling / Dipl.-Math J. Hollender

Description

Ein Vortrag im Rahmen der "Graduate Lectures in Mathematics" In several fields of mathematics (for example, numerical analysis, fractional calculus, probaility theory, maximal regularity problems for partial differential equations etc.) functional calculus techniques have been used rather successfully. At the heart of the theory is the problem of defining possibly unbounded functions of a closed operator on a Banach space in a consistent way. This enables one to manipulate ordinary functions, which is intuitive and simple, instead of operators. This short course gives a brief introduction to the modern theory which is based on an abstract, rather algebraic approach to functional calculus extensions. We will discuss the extension of the Hille-Phillips functional calculus for semigroup generators in detail. Some examples from the theory of fractional powers of operators and numerical analysis will also be discussed to show the power of the theory.

Links

• Webseite der Graduate Lectures in Mathematics

Last modified: Jan 23, 2014, 4:27:43 PM