Multiple fourier integral and multiple fourier series under square summation
KeywordsFourier Series Multiple Fourier Series
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Unable to display preview. Download preview PDF.
- 1.I. L. Bloshanskii, “On the equiconvergence of expansions in a multiple trigonometric Fourier series and Fourier integral,” Mat. Zametki,18, No. 2, 153–168 (1975).Google Scholar
- 2.A. Zygmund, Trigonometric Series. Vol. II, Cambridge Univ. Press, Cambridge (1959).Google Scholar
- 3.I. L. Bloshanskii, “On the equiconvergence of the multiple Fourier series and Fourier integral expansions in the case of square summation,” Izv. Akad. Nauk SSSR, Ser. Mat.,40, No. 3, 685–705 (1976).Google Scholar
- 4.N. R. Tevzadze, “On the convergence of the double Fourier series of a square summable function,” Soobshch. Akad. Nauk GruzinSSR,58, No. 2, 277–279 (1970).Google Scholar
- 5.P. Sjolin, “Convergence almost everywhere of certain singular integrals and multiple Fourier series,” Ark. Mat.,9, No. 1, 65–90 (1971).Google Scholar
- 6.A. Kolmogoroff, “Une serie de Fourier-Lebesgue divergente presque partout,” Fund. Math.,4, 324–328 (1923).Google Scholar
- 7.N. K. Bary, A Treatise on Trigonometric Series, I and II, Macmillan, New York (1964).Google Scholar
- 8.E. M. Stein, “On limits of sequences of operators,” Ann. Math.,74, No. 1, 140–170 (1961).Google Scholar
- 9.J.-P. Kahane, Some Random Series of Functions, Heath, Lexington, Mass. (1968).Google Scholar
- 10.G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, Oxford Univ. Press, London (1938).Google Scholar
© Plenum Publishing Corporation 1990