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
Scan this code with your smartphone and get directly this event in your calendar. Increase the image size by clicking on the QR-Code if you have problems to scan it.
Legend
- Biology
- Chemistry
- Civil Eng., Architecture
- Computer Science
- Economics
- Electrical and Computer Eng.
- Environmental Sciences
- for Pupils
- Law
- Linguistics, Literature and Culture
- Materials
- Mathematics
- Mechanical Engineering
- Medicine
- Physics
- Psychology
- Society, Philosophy, Education
- Spin-off/Transfer
- Traffic
- Training
- Welcome