On the Borel Summability of Double Fourier Series

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Authors

  • College of Engineering and Technology, New Delhi-16 ,IN

Abstract

Let f(u, v) be a function integrable in the sense of Lebesgue over the square (0, 2Ï€; 0, 2Ï€) and periodic with period 2Ï€ 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://www.informaticsjournals.com/index.php/jims/article/view/22061

 

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