Convolution algebras for topological groupoids with locally compact fibres | Zendy

Mădălina Roxana Buneci | Zendy

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Convolution algebras for topological groupoids with locally compact fibres

Author(s) -

Mădălina Roxana Buneci

Publication year - 2011

Publication title -

opuscula mathematica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.481

H-Index - 16

eISSN - 2300-6919

pISSN - 1232-9274

DOI - 10.7494/opmath.2011.31.2.159

Subject(s) - mathematics , convolution (computer science) , convolution power , pure mathematics , topology (electrical circuits) , locally compact space , algebra over a field , combinatorics , mathematical analysis , fourier transform , computer science , fourier analysis , machine learning , artificial neural network , fractional fourier transform

The aim of this paper is to introduce various convolution algebras associated with a topological groupoid with locally compact fibres. Instead of working with continuous functions on \(G\), we consider functions having a uniformly continuity property on fibres. We assume that the groupoid is endowed with a system of measures (supported on its fibres) subject to the "left invariance" condition in the groupoid sense

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