Amol Sasane

collaborators

4 papers

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.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…

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

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