Amol Sasane

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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

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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…

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.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 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

Ideals in the convolution algebra of periodic distributions

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

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