Fourier series of functions whose Hankel transform is supported on [0, 1]
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1
Universidad de La Rioja
info
ISSN: 0176-4276
Año de publicación: 1994
Volumen: 10
Número: 1
Páginas: 65-75
Tipo: Artículo
Otras publicaciones en: Constructive Approximation
Resumen
Let Jμ denote the Bessel function of order μ. For α>-1, the system x-α/2-1/2Jα+2n+1(x1/2, n=0, 1, 2,..., is orthogonal on L2((0, ∞), xαdx). In this paper we study the mean convergence of Fourier series with respect to this system for functions whose Hankel transform is supported on [0, 1]. © 1994 Springer-Verlag New York Inc.