Ramesh Manna

activity

20182020

collaborators

9 papers

math.FA2020

Phase space analysis of the Hermite semigroup and applications to nonlinear global well-posedness

Divyang G. Bhimani, Ramesh Manna, Fabio Nicola +2

We study the Hermite operator $H = - Δ + ∣ x ∣^{2}$ in $R^{d}$ and its fractional powers $H^{β}$ , $β > 0$ in phase space. Namely, we represent functions $f$ via the so-called short-time…

math.GN2020

$C C S$ -normal spaces

Sagarmoy Bag, Ram Chandra Manna, Asit Baran Raha

A space $X$ is called $C C S$ -normal space if there exist a normal space $Y$ and a bijection $f : X \mapsto Y$ such that $f ∣_{C} : C \mapsto f (C)$ is homeomorphism for any cellular-com…

math.FA2020

Translation and modulation invariant Hilbert spaces

Joachim Toft, Anupam Gumber, Ramesh Manna +1

We show that for any Hilbert space of distributions on $R^{d}$ which is translation and modulation invariant, is equal to $L^{2} (R^{d})$ , with the same norm apart from…

math.AP2020

A strong unique continuation property for the heat operator with Hardy type potential

Agnid Banerjee, Nicola Garofalo, Ramesh Manna

In this note we prove the strong unique continuation property at the origin for the solutions of the parabolic differential inequality \[ |Δu - u_t| \leq \frac{M}{|x|^2} |u|, \] wi…

math.GN2020

Almost separable spaces

Sagarmoy Bag, Ram Chandra Manna, Sourav Kanti Patra

We have defined almost separable space. We show that like separability, almost separability is $c$ productive and converse also true under some restrictions. We establish a Baire C…

math.AP2019

Momentum Ray Transforms, II: Range Characterization In the Schwartz space

Venkateswaran P. Krishnan, Ramesh Manna, Suman Kumar Sahoo +1

The momentum ray transform $I^{k}$ integrates a rank $m$ symmetric tensor field $f$ over lines of $R^{n}$ with the weight $t^{k}$ : $ (I^k\!f)(x,ξ)=\int_{-\infty}^\infty t^kłf(x+tξ),ξ^…