Amol Sasane

activity

20192026

most citedElastic rods and elastic spinning rings as gravitational wave detectors

1 citations · 1 across the 10 of their papers we have counts for

collaborators

10 papers

math.CV2026

On the flatness of the Bergman space as a module over the Hardy algebra

Amol Sasane

Let $A^{2}$ be the Bergman space of the open unit disc $D$ in the complex plane consisting of holomorphic functions that are square integrable with respect to the area measu…

math.OC2025

A new $ν$ -metric computational example for the diffusion equation with boundary control and point observation

Amol Sasane

The $ν$ -metric used in robust control is computed for control systems with parametric uncertainty, governed by a diffusion equation in a bounded one-dimensional spatial region with…

math.FA2025

On Banach subalgebras of $H^{\infty}$ consisting of lacunary Dirichlet series

Amol Sasane

Let $H^{\infty}$ be the set of all Dirichlet series $f = \sum_{n = 1}^{\infty} a_{n} n^{- s}$ (where $a_{n} \in C$ for all $n \in N = {1, 2, 3, \dots}$ ) that converge at ea…

math.FA2025

Maximal ideal space of some Banach algebras of Dirichlet series

Amol Sasane

Let $H^{\infty}$ be the set of all Dirichlet series $f = n = 1 \sum \infty \frac{a _{n}}{n ^{s}}$ (where $a_{n} \in C$ for each $n$ ) that converge at each $s\in {\math…

math.FA2024

On the faithful flatness of some modules arising in analysis

Amol Sasane

The notion of faithful flatness of a module over a commutative ring is studied for two $R$ -modules $M$ arising in functional analysis, where $R$ is a Banach algebra and $M$ is a Hi…

gr-qc2024★ 1 cited

Elastic rods and elastic spinning rings as gravitational wave detectors

José Natário, Amol Sasane, Rodrigo Vicente

Linearised relativistic elasticity equations of motion are considered for a rod and a spinning ring encountering a gravitational wave. In the case of the rod, the equations reduce…

math.CV2024

On algebras of Dirichlet series invariant under permutations of coefficients

Alexander Brudnyi, Amol Sasane

Let $O_{u}$ be the algebra of holomorphic functions on $C_{+} := {s \in C : Re s > 0}$ that are limits of Dirichlet series $D = \sum_{n = 1}^{\infty} a_{n} n^{- s}$ , $s\in…

math.FA2023

Ideals in the convolution algebra of periodic distributions

Amol Sasane

The ring of periodic distributions on $R^{d}$ with usual addition and with convolution is considered. Via Fourier series expansions, this ring is isomorphic to the r…

math.CV2023

On a Banach algebra of entire functions with a weighted Hadamard multiplication

Amol Sasane

New algebraic-analytic properties of a previously studied Banach algebra $A (p)$ of entire functions are established. For a given fixed sequence $(\bf{p}(n))_{n\geq…

math.FA2019

A summation method based on the Fourier series of periodic distributions and an example

Amol Sasane

A generalised summation method is considered based on the Fourier series of periodic distributions. It is shown that $$ e^{it}-2e^{2it}+3e^{3it}-4e^{4it}+-\cdots = {\mathrm P\mathr…

On the flatness of the Bergman space as a module over the Hardy algebra

A new ν-metric computational example for the diffusion equation with boundary control and point observation

On Banach subalgebras of H∞ consisting of lacunary Dirichlet series

Maximal ideal space of some Banach algebras of Dirichlet series

On the faithful flatness of some modules arising in analysis

Elastic rods and elastic spinning rings as gravitational wave detectors

On algebras of Dirichlet series invariant under permutations of coefficients

Ideals in the convolution algebra of periodic distributions

On a Banach algebra of entire functions with a weighted Hadamard multiplication

A summation method based on the Fourier series of periodic distributions and an example

A new $ν$ -metric computational example for the diffusion equation with boundary control and point observation

On Banach subalgebras of $H^{\infty}$ consisting of lacunary Dirichlet series