On the structure of the ultradistributions of Beurling type.
Previous Page 6
Manuel Valdivia (2008)
RACSAM
Martha Guzmán-Partida (2010)
Commentationes Mathematicae Universitatis Carolinae
We give sufficient conditions for the support of the Fourier transform of a certain class of weighted integrable distributions to lie in the region and .
M. Valdivia (2009)
RACSAM
Peetre, Jaak (1968)
Portugaliae mathematica
Marion D. Cohen (1971)
Mathematische Zeitschrift
Sinha, Sunil Kumar (1985)
International Journal of Mathematics and Mathematical Sciences
Jan Ligęza (2002)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
Miloslav Duchoň (1989)
Mathematica Slovaca
Jairo Villegas G. (2003)
Extracta Mathematicae
Klaus Floret (1976)
Mathematische Annalen
Gérard Bourdaud (1995)
Revista Matemática Iberoamericana
Joseph, Kayyunnapara Thomas (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
(2012)
Colloquium Mathematicae
The paper is devoted to infinitely differentiable one-parameter convolution semigroups in the convolution algebra of matrix valued rapidly decreasing distributions on ℝⁿ. It is proved that is the generating distribution of an i.d.c.s. if and only if the operator on satisfies the Petrovskiĭ condition for forward evolution. Some consequences are discussed.
González, B.J., Negrín, E.R. (1998)
Revista Colombiana de Matemáticas
V. Karunakaran, R. Roopkumar (2005)
Colloquium Mathematicae
We define various operations on the space of ultra Boehmians like multiplication with certain analytic functions which are Fourier transforms of compactly supported distributions, polynomials, and characters , translation, differentiation. We also prove that the Fourier transform on the space of ultra Boehmians has all the operational properties as in the classical theory.
Raimond A. Struble (1973)
Mathematische Zeitschrift
Ioana Cioranescu (1976)
Mathematische Annalen
Marko Nedeljkov, Michael Oberguggenberger (2012)
Publications de l'Institut Mathématique
Previous Page 6