4 papers · 1 filter
Wiener type theorems for countable limits of quasi-Beurling algebras and maximizing results on weights
Prakash A. Dabhi, Karishman B. Solanki
We establish the vector-valued Wiener type theorems for countable projective and inductive limits of quasi-Banach algebras in a weighted setting for both finite and infinite dimens…
Inverse-closedness of weighted Schur and BGS type quasi-Banach algebras
Prakash A. Dabhi, Karishman B. Solanki
We prove that the weighted quasi-Banach algebras of operator valued matrices satisfying Schur and Baskakov-Gohberg-Sjöstrand (BGS) conditions are inverse-closed in the Banach alge…
On the weighted Wiener-Lévy theorem: analogue on Euclidean space, strong converse on LCA group and applications to modulation spaces
Divyang G. Bhimani, Karishman B. Solanki
We consider the space (weighted Fourier algebra) of Banach algebra valued functions $A^q_Ï(Î,\cX),$ which consists of all Fourier transforms of functions in $L^q_Ï(G,\cX)$. Here…
Weighted inversion of vector valued Dirichlet series
Prakash A. Dabhi, Karishman B. Solanki
Let be an additive semigroup with , be an admissible weight on , be a unital Banach algebra, and let $f(s)=\sum_{λ\inÎ} f_λe^…