A Singular Convolution Equation In The Space Of Distributions II
Dragiša Mitrović (1977)
Publications de l'Institut Mathématique
D. Mitrovic (1977)
Publications de l'Institut Mathématique [Elektronische Ressource]
D. Mitrovic (1977)
Publications de l'Institut Mathématique [Elektronische Ressource]
E. K. Narayanan, S. Thangavelu (2006)
Annales de l’institut Fourier
We prove a spectral Paley-Wiener theorem for the Heisenberg group by means of a support theorem for the twisted spherical means on If is a Schwartz class function we show that is supported in a ball of radius in if and only if for for all This is an analogue of Helgason’s support theorem on Euclidean and hyperbolic spaces. When we show that the two conditions for imply a support theorem for a large class of functions with exponential growth. Surprisingly enough,this latter...
A. B. Sekerin (1999)
Collectanea Mathematica
Mathur, A.B. (1970)
Portugaliae mathematica
T. M. Atanacković, S. Pilipović, B. Stanković (2012)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
Raimond Struble (1977)
Studia Mathematica
Christoph Thiele (2002)
Revista Matemática Iberoamericana
There is a one parameter family of bilinear Hilbert transforms. Recently, some progress has been made to prove Lp estimates for these operators uniformly in the parameter. In the current article we present some of these techniques in a simplified model...
Nemzer, Dennis (2000)
International Journal of Mathematics and Mathematical Sciences
A. Cordoba, C. Fefferman (1976)
Studia Mathematica
V.G. Joshi, R.K. Saxena (1981)
Mathematische Annalen
Carmichael, Richard D., Hayashi, Elmer K. (1981)
International Journal of Mathematics and Mathematical Sciences
Nemzer, Dennis (1994)
International Journal of Mathematics and Mathematical Sciences
Ostrogorski, Tatjana (1984)
Publications de l'Institut Mathématique. Nouvelle Série
Tatjana Ostrogorski (1984)
Publications de l'Institut Mathématique
Postnikov, E.B. (2003)
Journal of Applied Mathematics
J. Faraut (1982)
Publications du Département de mathématiques (Lyon)
Carro, M.J. (2010)
Banach Journal of Mathematical Analysis [electronic only]
Wysocki, Hubert, Zellma, Marek (2005)
Fractional Calculus and Applied Analysis
Mathematics Subject Classification: 44A40, 45B05The paper presents an abstract linear second kind Fredholm integral equation with degenerated kernel defined by means of the Bittner operational calculus. Fredholm alternative for mutually conjugated integral equations is also shown here. Some examples of solutions of the considered integral equation in various operational calculus models are also given.