On the Borel Summability of Double Fourier Series
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∅(u,v)=1/4{f(x+u,y+v)+f(x-u,y+v)+f(x+u,y-v)+f(x-u,y-v)-4}.
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College of Engineering and Technology, New Delhi-16 ,IN
B. N. Sahney
Abstract
Let f(u, v) be a function integrable in the sense of Lebesgue over the square (0, 2π; 0, 2π) and periodic with period 2π in each variable. Let∅(u,v)=1/4{f(x+u,y+v)+f(x-u,y+v)+f(x+u,y-v)+f(x-u,y-v)-4}.
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Published
1961-12-01
How to Cite
Sahney, B. N. (1961). On the Borel Summability of Double Fourier Series. The Journal of the Indian Mathematical Society, 25(3-4), 221–227. Retrieved from https://informaticsjournals.co.in/index.php/jims/article/view/22061
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Copyright (c) 1961 B. N. Sahney
This work is licensed under a Creative Commons Attribution 4.0 International License.
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