@Article{ATA-32-339,
author = {A. Ghaani Farashahi},
title = {Classical Fourier Analysis over Homogeneous Spaces of Compact Groups},
journal = {Analysis in Theory and Applications},
year = {2016},
volume = {32},
number = {4},
pages = {339--354},
abstract = {<p style="text-align: justify;">This paper introduces a unified operator theory approach to the abstract Fourier analysis over homogeneous spaces of compact groups. Let $G$ be a compact group and $H$ be a closed subgroup of $G$. Let $G/H$ be the left coset space of $H$ in $G$ and $\mu$ be the normalized $G$-invariant measure on $G/H$ associated to the Weil&#39;s formula. Then, we present a generalized abstract framework of Fourier analysis for the Hilbert function space $L^2(G/H,\mu)$.</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.2016.v32.n4.3},
url = {http://global-sci.org/intro/article_detail/ata/4675.html}
}