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On the Borel Summability of Double Fourier Series


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1 College of Engineering and Technology, New Delhi-16, India
     

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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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  • On the Borel Summability of Double Fourier Series

Abstract Views: 206  |  PDF Views: 0

Authors

B. N. Sahney
College of Engineering and Technology, New Delhi-16, India

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}.