On Abel summability of multiple Jacobi series
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Luis A. Caffarelli, Calixto P. Calderón (1974)
Colloquium Mathematicae
C. Neugebauer (1972)
Studia Mathematica
Potapov, M.K., Simonov, B.V., Lakovich, B. (1995)
Publications de l'Institut Mathématique. Nouvelle Série
Gogoladze, L. (1999)
Georgian Mathematical Journal
A. R. Sarpe (1972)
Matematički Vesnik
A. Zygmund (1974)
Studia Mathematica
Wolodymyr Madych (1974)
Studia Mathematica
S. Rolewicz (2005)
Banach Center Publications
Multi-dimensional generalizations of the Wiener-Żelazko and Lévy-Żelazko theorems are obtained.
Manojlo Maravić (1975)
Publications de l'Institut Mathématique
Rudolf Rupp, Amol Sasane (2016)
Topological Algebra and its Applications
A corona type theorem is given for the ring D'A(Rd) of periodic distributions in Rd in terms of the sequence of Fourier coefficients of these distributions,which have at most polynomial growth. It is also shown that the Bass stable rank and the topological stable rank of D'A(Rd) are both equal to 1.
Maria Topolewska (1995)
Mathematica Bohemica
For real functions of bounded variation in the Hardy sense, -periodic in each variable, the rates of pointwise convergence of the Borel and Euler means of their Fourier series are estimated.
Ferenc Móricz (1991)
Studia Mathematica
Casper Goffman, Fon-Che Liu (1972)
Studia Mathematica
Krasniqi, Xhevat Z. (2013)
Mathematica Balkanica New Series
MSC 2010: 42A32; 42A20In this paper we have defined a new class of double numerical sequences. If the coefficients of a double cosine or sine trigonometric series belong to the such classes, then it is verified that they are Fourier series or equivalently their sums are integrable functions. In addition, we obtain an estimate for the mixed modulus of smoothness of a double sine Fourier series whose coefficients belong to the new class of sequences mention above.
Jau Chen, In Hwang (1981)
Studia Mathematica
I. Szalay (1988)
Studia Mathematica
Goginava, U. (2003)
Georgian Mathematical Journal
Lennart Carleson, Per Sjölin (1972)
Studia Mathematica
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