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Co-compact Gabor Systems on Locally Compact Abelian Groups

, 2014
In this work we extend classical structure and duality results in Gabor analysis on the euclidean space to the setting of second countable locally compact abelian (LCA) groups.
Mads S. Jakobsen, J. Lemvig
semanticscholar   +1 more source

Locally Compact Path Spaces

Applied Categorical Structures, 2005
The author shows that the space \(X^{[0,1]}\) of continuous maps \([0,1]\to X\) with the compact-open topology is not locally compact for any space \(X\) having a nonconstant path of closed points. For a \(T_1\)-space, it follows that \(X^{[0,1]}\) is locally compact if and only if \(X\) is locally compact and totally path disconnected, where \(X\) is ...
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Locally Compact Spaces

1995
A topological space is locally compact if every point has an open nbhd with compact closure. Clearly, compact spaces and closed subspaces of locally compact spaces are locally compact. Products of finitely many locally compact spaces are locally compact iff all but finitely many of the factors are compact.
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Locally Compact Spaces

1950
In this section we shall derive a few auxiliary topological results which, because of their special nature, are usually not discussed in topology books.
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Measures on Locally Compact Spaces

1980
Chapter 7 is devoted to the Riesz representation theorem and related results. The first section (Section 7.1) contains some basic facts about locally compact Hausdorff spaces, the spaces that provide the natural setting for the Riesz representation theorem, while the second section (Section 7.2) gives a proof of the Riesz representation theorem.
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Choquet integral and fuzzy measures on locally compact space

Fuzzy Sets Syst., 1998
M. Sugeno, Y. Narukawa, T. Murofushi
semanticscholar   +1 more source

On Summation on Locally Compact Spaces

Mathematische Nachrichten, 1976
Frank Terpe, Jürgen Flachsmeyer
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