Amol Sasane

collaborators

6 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.FA2026

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.OC2025

A new $I^½$ -metric computational example for the diffusion equation with boundary control and point observation

Amol Sasane

The $I^½$ -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 wit…

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…

gr-qc2025

Elastic rods and elastic spinning rings as gravitational wave detectors

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…

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

On the faithful flatness of some modules arising in analysis

A new I^½-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

Elastic rods and elastic spinning rings as gravitational wave detectors

A new $I^½$ -metric computational example for the diffusion equation with boundary control and point observation

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