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Integrability and L-convergence of multiple trigonometric series

Published online by Cambridge University Press:  17 April 2009

Chang-Pao Chen
Chang-Pao Chen
Affiliation:
Department of MathematicsNational Tsing Hua UniversityHsinchu Taiwan 30043, Republic of China
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It is proved that under the following condition, the sum f of the double trigonometric series with coefficients cjk is integrable and the rectangular partial sums smn(f, x, y) converge to f in L1 norm:

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Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 49 , Issue 2 , April 1994 , pp. 333 - 339
Copyright
Copyright © Australian Mathematical Society 1994

References

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