Nonnegative Fourier–Jacobi Coefficients and Some Classes of Functions |
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| Authors: | Semyon Rafalson |
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| Institution: | W. E. Grady Television High School, 25 Brighton 4th Road, Brooklyn, New York, 11235 |
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| Abstract: | 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. |
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