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Nonnegative Fourier–Jacobi Coefficients and Some Classes of Functions

✍ Scribed by Semyon Rafalson

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
340 KB
Volume
87
Category
Article
ISSN
0021-9045

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✦ Synopsis

Fourier Jacobi series with nonnegative Fourier Jacobi coefficients are considered. Under special restrictions on the Jacobi weight function, we establish in terms of Fourier Jacobi coefficients a necessary and sufficient condition in order that the sum of the Fourier Jacobi series should possess certain structural properties.

1996 Academic Press, Inc.

n=2 sin nxÂn ln n. The interest in the investigation of the series (1) and ( 2) can be explained in two ways. First of all if one wishes to prove a statement concerning general trigonometric series, then very often it is helpful to have at one's article no.

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