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

Institute of Mathematics

Moscow State University

1 Citation (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.

Original language	English
Journal	International Journal of Wavelets, Multiresolution and Information Processing
Volume	4
Issue number	3
Pages (from-to)	415-431
Number of pages	17
ISSN	0219-6913
DOIs	https://doi.org/10.1142/S0219691306001348
Publication status	Published - 01.09.2006

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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.",

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AU - Khabibouline, R.

AU - Prestin, J.

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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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M3 - Journal articles

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

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