Abstract
Polynomial frames based on orthogonal decompositions with respect to weights of Laguerre and Hermite type are considered. Asymptotic formulas for the coefficients from expansions on such frames are presented. The ability to detect singularities of all order is studied in detail.
| Originalsprache | Englisch |
|---|---|
| Zeitschrift | International Journal of Wavelets, Multiresolution and Information Processing |
| Jahrgang | 4 |
| Ausgabenummer | 3 |
| Seiten (von - bis) | 415-431 |
| Seitenumfang | 17 |
| ISSN | 0219-6913 |
| DOIs | |
| Publikationsstatus | Veröffentlicht - 01.09.2006 |
Fördermittel
This work was done while the first author was visiting the Institute of Mathematics of Lübeck University. He would like to thank all members of the institute for their warm hospitality. The authors are grateful to Alexander Aptekarev for the inspiration of this work. Research was supported partly by Trilateral Germany-France-Russia university exchange program, INTAS Grant number 00-272, RFFI Grant number 01-01-00738 and Support program of leading scientific schools of Russia (SCh Grant number 1551.2003.1).
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