On distributions of rapid growth
Abdullah, Saleh (1990)
Portugaliae mathematica
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Displaying similar documents to “Convergence of convolution operators”
On distributions of rapid growth
Fourier transforms of convolution operators
Charles Swartz (1973)
Studia Mathematica
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The operation of infimal convolution
Strömberg Thomas
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AbstractThis paper is a survey article on the theory and applications of infimal convolution. We consider the convex as well as the nonconvex case. In particular, we provide a detailed investigation of the regularizing effects of infimal convolution, and study continuity properties of the operation with respect to notions of variational convergence. Several examples are included and well-known results are complemented, unified or extended in various ways. CONTENTS1. Introduction...
On the space of convolution operators in
Z. Zieleźny (1968)
Studia Mathematica
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Translation invariant linear operators and generalized functions
Charles W. Swartz (1975)
Czechoslovak Mathematical Journal
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Convergence in spaces of rapidly increasing distributions.
Abdullah, Saleh (1994)
Portugaliae Mathematica
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On tempered convolution operators
Saleh Abdullah (1994)
Commentationes Mathematicae Universitatis Carolinae
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In this paper we show that if is a convolution operator in , and , then the zeros of the Fourier transform of are of bounded order. Then we discuss relations between the topologies of the space of convolution operators on . Finally, we give sufficient conditions for convergence in the space of convolution operators in and in its dual.