Ma

Generalized Banach Limits and Growth Conditions of Orthogonal Polynomials

Date
May 24, 2012
Time
3:00 PM - 4:00 PM
Speaker
Prof. Dr. Rupert Lasser
Affiliation
Helmholtz Zentrum München
Series
TUD Mathematik AG Analysis & Stochastik
Language
en
Main Topic
Mathematik
Other Topics
Mathematik
Host
Prof. Dr. Z. Sasvári
Description
We introduce and investigate generalizations of Banach limits (i.e. normalized positive linear functionals on the space of bounded sequences, which are invariant under "shift" operators determined by the three-term recurrence relation of orthogonal polynomial sequences). We characterize the existence of such Banach limits by growth conditions of the orthogonal polynomials. Moreover we derive relations between thesegrowth properties and the support of the orthogonalization measure. Connections to positive definiteness and Reiters condition P1 and P2 are presented.
Links

Last modified: May 2, 2012, 4:39:25 PM

Location

TUD Willers-Bau (WIL A 120)Zellescher Weg12-1401069Dresden
Homepage
https://navigator.tu-dresden.de/etplan/wil/00

Organizer

TUD MathematikWillersbau, Zellescher Weg12-1401069Dresden
Phone
49-351-463 33376
Homepage
http://tu-dresden.de/mathematik
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