Some properties of convolution in symmetric spaces and approximate identity

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:70 Issue:2
Some properties of convolution in symmetric spaces and approximate identity

Some properties of convolution in symmetric spaces and approximate identity

Authors : Chingiz HASHİMOV, Javad ASADZADEH

Pages : 773-784

Doi:10.31801/cfsuasmas.768848

View : 35 | Download : 8

Publication Date : 2021-12-31

Article Type : Research Paper

Abstract :This paper deals with the symmetric space of functions and its subspace where continuous functions are dense is considered. Main properties of convolution which plays a vital role in harmonic analysis, as in other areas of mathematics are established in this space. Following the classical case, it is proved that the convolution can be approximated by linear combinations of shifts in a subspace of the considered space. An approximate identity for the convolution is also considered in that subspace.
Keywords : symmetric spaces, convolution, approximate identity

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