Asymptotic formulas for the frame coefficients generated by Laguerre and Hermite type polynomials

R. Khabibouline; J. Prestin

doi:10.1142/S0219691306001348

Asymptotic formulas for the frame coefficients generated by Laguerre and Hermite type polynomials

R. Khabibouline, J. Prestin

Institut für Mathematik

Moscow State University

1 Zitat (Scopus)

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	https://doi.org/10.1142/S0219691306001348
Publikationsstatus	Veröffentlicht - 01.09.2006

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10.1142/S0219691306001348

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title = "Asymptotic formulas for the frame coefficients generated by Laguerre and Hermite type polynomials",

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.",

author = "R. Khabibouline and J. Prestin",

year = "2006",

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AU - Khabibouline, R.

AU - Prestin, J.

PY - 2006/9/1

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N2 - 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.

AB - 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.

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DO - 10.1142/S0219691306001348

M3 - Journal articles

AN - SCOPUS:33748984009

SN - 0219-6913

VL - 4

SP - 415

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JO - International Journal of Wavelets, Multiresolution and Information Processing

JF - International Journal of Wavelets, Multiresolution and Information Processing

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ER -

Asymptotic formulas for the frame coefficients generated by Laguerre and Hermite type polynomials

Abstract

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