Small sets in the support of a Fourier-Stieltjes transform
Louis Pigno (1981)
Colloquium Mathematicae
K. Hara, T. Lyons (2007)
Revista Matemática Iberoamericana
François Gramain (1976)
Bulletin de la Société Mathématique de France
Aggarwala, B., Nasim, C. (1990)
International Journal of Mathematics and Mathematical Sciences
Boyadjiev, Lyubomir, Al-Saqabi, Bader (2012)
Mathematica Balkanica New Series
MSC 2010: 35R11, 42A38, 26A33, 33E12The method of integral transforms based on joint application of a fractional generalization of the Fourier transform and the classical Laplace transform is utilized for solving Cauchy-type problems for the time-space fractional diffusion-wave equations expressed in terms of the Caputo time-fractional derivative and the Weyl space-fractional operator. The solutions obtained are in integral form whose kernels are Green functions expressed in terms of the Fox H-functions....
David Walnut (1998)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
Eduard Krajník, Vincente Montesinos, Peter Zizler, Václav Zizler (2012)
Applications of Mathematics
The inverse Fast Fourier Transform is a common procedure to solve a convolution equation provided the transfer function has no zeros on the unit circle. In our paper we generalize this method to the case of a singular convolution equation and prove that if the transfer function is a trigonometric polynomial with simple zeros on the unit circle, then this method can be extended.
M.H. Gutknecht (1980/1981)
Numerische Mathematik
Dikshit, H.P., Fridy, J.A. (1992)
International Journal of Mathematics and Mathematical Sciences
Lutz Klotz (1991)
Studia Mathematica
Qazi, M. A., Rahman, Q. I. (2007)
Serdica Mathematical Journal
2000 Mathematics Subject Classification: 26C05, 26C10, 30A12, 30D15, 42A05, 42C05.In this paper we present some inequalities about the moduli of the coefficients of polynomials of the form f (x) : = еn = 0nan xn, where a0, ј, an О C. They can be seen as generalizations, refinements or analogues of the famous inequality of P. L. Chebyshev, according to which |an| Ј 2n-1 if | еn = 0n an xn | Ј 1 for -1 Ј x Ј 1.
Azar, Laith Emil (2004)
International Journal of Mathematics and Mathematical Sciences
Ferenc Weisz (2011)
Banach Center Publications
Four basic results of Marcinkiewicz are presented in summability theory. We show that setting out from these theorems many mathematicians have reached several nice results for trigonometric, Walsh- and Ciesielski-Fourier series.
D. Garling (1985)
Studia Mathematica
Oniani, G. (1995)
Georgian Mathematical Journal
Tomovski, Živorad (2003)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Xhevat Z. Krasniqi (2013)
Archivum Mathematicum
In this paper we introduce some new modified cosine sums and then using these sums we study -convergence of trigonometric cosine series.
Zhuk, A.S., Zhuk, V.V. (2004)
Zapiski Nauchnykh Seminarov POMI
Elias M. Stein (1985)
Journées équations aux dérivées partielles
José J. Guadalupe Hernández, José L. Rubio de Francia (1982)
Collectanea Mathematica