On convergence of ultraspherical lacunary series |
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Authors: | B. N. Prasad D. P. Gupta |
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Affiliation: | (1) Lakshmi Niwas George Town, Allahabad 2, India |
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Abstract: | Summary Kolmogoroff's classical result on the convergence of lacunary Fourier trigonometric series corresponding to a function of L2 class has been extended to the convergence of the Fourier Ultraspherical series possessing lacunae similar to those supposed in Kolmogoroff's theorem for the trigonometric series. |
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