Displaying similar documents to “A convolution approximation property for L 1 (G)”

On a class of convolution algebras of functions

Hans G. Feichtinger (1977)

Annales de l'institut Fourier

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The Banach spaces Λ ( A , B , X , G ) defined in this paper consist essentially of those elements of L 1 ( G ) ( G being a locally compact group) which can in a certain sense be well approximated by functions with compact support. The main result of this paper is the fact that in many cases Λ ( A , B , X , G ) becomes a Banach convolution algebra. There exist many natural examples. Furthermore some theorems concerning inclusion results and the structure of these spaces are given. In particular we prove that simple conditions imply...

Some remarks on the existence of a resolvent

Masanori Kishi (1975)

Annales de l'institut Fourier

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Noting that a resolvent is associated with a convolution kernel x satisfying the domination principle if and only if x has the dominated convergence property, we give some remarks on the existence of a resolvent.