On a recurrence formula for elementary spherical functions on symmetric spaces and its applications to multipliers for the spherical Fourier transform.
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Lars Vretare (1977)
Mathematica Scandinavica
T. Pytlik (1975)
Studia Mathematica
Edmond Granirer (1994)
Colloquium Mathematicae
Let be the left convolution operators on with support included in F and denote those which are norm limits of convolution by bounded measures in M(F). Conditions on F are given which insure that , and are as big as they can be, namely have as a quotient, where the ergodic space W contains, and at times is very big relative to . Other subspaces of are considered. These improve results of Cowling and Fournier, Price and Edwards, Lust-Piquard, and others.
Karol Krzyzewski (1993)
Monatshefte für Mathematik
Lars Vretare (1975)
Mathematica Scandinavica
D. Müller, M. Christ (1996)
Geometric and functional analysis
E. E. Granirer (1987)
Colloquium Mathematicae
Yngve Domar (1977)
Commentarii mathematici Helvetici
Niels Vigand Pedersen (1984)
Annales scientifiques de l'École Normale Supérieure
T.M. Bisgaard (1989)
Semigroup forum
A. Szaz (1981)
Matematički Vesnik
Walter Schempp, Bernd Dreseler (1975)
Monatshefte für Mathematik
John J.F. Fournier (1983)
Monatshefte für Mathematik
Wolfgang Ardendt (1981)
Mathematische Zeitschrift
Hans Reiter (1993)
Monatshefte für Mathematik
A. Hulanicki (1976)
Studia Mathematica
Ronald Coifman, Guido Weiss (1973)
Studia Mathematica
Carlo Cecchini (1980)
Colloquium Mathematicae
Jiecheng Chen, Dashan Fan (2012)
Annales mathématiques Blaise Pascal
Fefferman-Stein, Wainger and Sjölin proved optimal boundedness for certain oscillating multipliers on . In this article, we prove an analogue of their result on a compact Lie group.
U. B. Tewari (2007)
Colloquium Mathematicae
Let I = (0,∞) with the usual topology. For x,y ∈ I, we define xy = max(x,y). Then I becomes a locally compact commutative topological semigroup. The Banach space L¹(I) of all Lebesgue integrable functions on I becomes a commutative semisimple Banach algebra with order convolution as multiplication. A bounded linear operator T on L¹(I) is called a multiplier of L¹(I) if T(f*g) = f*Tg for all f,g ∈ L¹(I). The space of multipliers of L¹(I) was determined by Johnson and Lahr. Let X be a Banach space...
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