Discrete Fourier–Neumann series |
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| Authors: |
scar Ciaurri |
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| Institution: | Departamento de Matemáticas y Computación, Universidad de La Rioja, Edificio J. L. Vives, Calle Luis de Ulloa s/n, 26004, Logroño, Spain |
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| Abstract: | Let Jμ denote the Bessel function of order μ. The system with n=0,1,…,α>−1, and where ps denotes the sth positive zero of Jα(ax), is orthonormal in 
. In this paper, we study the mean convergence of the Fourier series with respect to this system. Also, we describe the space in which the span of the system is dense. |
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| Keywords: | Author Keywords: Bessel functions Fourier series Neumann series Mean convergence Discrete Ap weights Discrete Hilbert transform |
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