A Note on the Beurling-Fourier Algebras on Homogeneous Spaces

For a locally compact group G with a closed subgroup H, we defne and study the Beurling-Fourier algebra for the homogeneous space G/H of left cosets of H in G, using the concept of weight inverse, introduced by Öztop. We show that it is a Banach algebra and is a subalgebra of A(G), the Eymard Fourier algebra. The techniques are based on the quantum structure of Fourier-type algebras with operator perspective.

کلیدواژه ها:

Banach algebras ، Fourier Algebras ، Beurling-Fourier Algebras ، Homogeneous Spaces