1985•Nagoya Mathematical JournalOpen access

The semi-balayability of real convolution kernels

Masayuki Itô, Noriaki Suzuki

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Abstract

Let X be a locally compact, σ-compact and non-compact abelian group. Throughout this paper, we shall denote by ξ a fixed Haar measure on X and by δ the Alexandroff point of X.

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Let X be a locally compact, σ-compact and non-compact abelian group. Throughout this paper, we shall denote by ξ a fixed Haar measure on X and by δ the Alexandroff point of X.

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Available abstract

Let X be a locally compact, σ-compact and non-compact abelian group. Throughout this paper, we shall denote by ξ a fixed Haar measure on X and by δ the Alexandroff point of X.

Key concepts: Haar measure, Locally compact space, Mathematics, Locally compact group, Abelian group, Pure mathematics, Compact group, Convolution (computer science)

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