activity
20032023
most citedGlobal quantization of pseudo-differential operators on compact Lie groups, SU(2) and 3-sphere

115 citations · 1.9k across the 226 of their papers we have counts for

collaborators

263 papers

math.AP2023

Comparison of One- Two- and Three- Dimensional CNN models for Drawing-Test-Based Diagnostics of the Parkinson's Disease

Xuechao Wang, Junqing Huang, Marianna Chatzakou +6

Subject: In this article, convolutional networks of one, two, and three dimensions are compared with respect to their ability to distinguish between the drawing tests produced by P…

math.FA2023

A note on the polar decomposition in metric spaces

Zhirayr Avetisyan, Michael Ruzhansky

The analogue of polar coordinates in the Euclidean space, a polar decomposition in a metric space, if well-defined, can be very useful in dealing with integrals with respect to a s…

math.FA2023

Stein-Weiss-Adams inequality on Morrey spaces

Aidyn Kassymov, Maria Alessandra Ragusa, Michael Ruzhansky +1

We establish Adams type Stein-Weiss inequality on global Morrey spaces on general homogeneous groups. Special properties of homogeneous norms and some boundedness results on global…

math.FA2023

Asymptotic estimates for the growth of deformed Hankel transform by modulus of continuity

Vishvesh Kumar, Joel E. Restrepo, Michael Ruzhansky

We derive asymptotic estimates for the growth of the norm of the deformed Hankel transform on the deformed Hankel--Lipschitz space defined via a generalised modulus of continuity.…

math.AP2023★ 1 cited

- boundedness of pseudo-differential operators on graded Lie groups

Duván Cardona, Vishvesh Kumar, Michael Ruzhansky

In this paper we establish the - estimates for global pseudo-differential operators on graded Lie groups. We provide both necessary and sufficient conditions for the $L^p…

math.FA2023

Elements (functions) that are universal with respect to a minimal system

Zhirayr Avetisyan, Martin Grigoryan, Michael Ruzhansky

We call an element conditionally universal for a sequential convergence space with respect to a minimal system in a continuously and densely e…