Amol Sasane

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20192025

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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.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

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