A. Sasane

activity

20102022

collaborators

Showing math.FAShow all

6 papers · 1 filter

math.FA2022

Banach algebras of symmetric functions on the polydisc

Amol Sasane

Let $D = {z \in C : ∣ z ∣ < 1}$ and for an integer $d \geq 1$ , let $S_{d}$ denote the symmetric group, consisting of of all permutations of the set ${1, \dots, d}$ . A f…

math.FA2021

The Sylvester equation in Banach algebras

Amol Sasane

Let $A$ be a unital complex semisimple Banach algebra, and $M_{A}$ denote its maximal ideal space. For a matrix $M \in A^{n \times n}$ , $M$ …

math.FA2021

Doubly invariant subspaces of the Besicovitch space

Amol Sasane

A classical result of Norbert Wiener characterises doubly shift-invariant subspaces for square integrable functions on the unit circle with respect to a finite positive Borel measu…

math.FA2018

Topological stable rank of $E^{'} (R)$

Amol Sasane

The set $E^{'} (R)$ of all compactly distributions, with the operations of addition, convolution, multiplication by complex scalars, and with the strong dual topolog…

math.FA2015

On the Bezout equation in the ring of periodic distributions

Rudolf Rupp, Amol Sasane

A corona type theorem is given for the ring R of periodic distributions in R^d in terms of the sequence of Fourier coefficients of these distributions, which have at most polynomia…

math.FA2012

Shannon's sampling theorem in a distributional setting

Amol Sasane

The classical Shannon sampling theorem states that a signal f with Fourier transform F in L^2(R) having its support contained in (-π,π) can be recovered from the sequence of sample…

Banach algebras of symmetric functions on the polydisc

The Sylvester equation in Banach algebras

Doubly invariant subspaces of the Besicovitch space

Topological stable rank of E′(R)

On the Bezout equation in the ring of periodic distributions

Shannon's sampling theorem in a distributional setting

Topological stable rank of $E^{'} (R)$