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Information Seminar Paper

Title

MODULAR FUNCTIONS ON LOCALLY COMPACT GROUP

Author(s)

 RIAZI A. | TAHMASBI N.

Pages

  -

Abstract

 In this paper, we give some results concerning the MODULAR FUNCTION of a locally compact group. Among other results we prove that if G is a locally compact non-unimodular TOPOLOGICAL GROUP with the left HAAR MEASURE l and E is a Borel subset of G, then: (i) G has a proper non-trivial closed normal subgroup K such that EÇK and E−1ÇK have the same measure l.(ii) G has a non-empty non-cyclic open subsemigroup S such that if 0 6¹l (EÇS) <¥ then l (EÇS) > l ((EÇS)−1). If G is unimodular then E and its inverse have the same measure l.

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    APA: Copy

    RIAZI, A., & TAHMASBI, N.. (2009). MODULAR FUNCTIONS ON LOCALLY COMPACT GROUP. THE SEMINAR ON MATHEMATICAL ANALYSIS AND ITS APPLICATIONS (SMAA18). SID. https://sid.ir/paper/904395/en

    Vancouver: Copy

    RIAZI A., TAHMASBI N.. MODULAR FUNCTIONS ON LOCALLY COMPACT GROUP. 2009. Available from: https://sid.ir/paper/904395/en

    IEEE: Copy

    A. RIAZI, and N. TAHMASBI, “MODULAR FUNCTIONS ON LOCALLY COMPACT GROUP,” presented at the THE SEMINAR ON MATHEMATICAL ANALYSIS AND ITS APPLICATIONS (SMAA18). 2009, [Online]. Available: https://sid.ir/paper/904395/en

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