6 citations · 23 across the 43 of their papers we have counts for
6 papers · 1 filter
- Multipliers on commutative hypergroups
Vishvesh Kumar, Michael Ruzhansky
The main purpose of this paper is to prove Hörmander's - boundedness of Fourier multipliers on commutative hypergroups. We carry out this objective by establishing Paley…
Titchmarsh theorems, Hausdorff-Young-Paley inequality and - boundedness of Fourier multipliers on harmonic groups
Vishvesh Kumar, Michael Ruzhansky
In this paper we extend classical Titchmarsh theorems on the Fourier transform of Hlder-Lipschitz functions to the setting of harmonic groups, which relate sm…
Expansion of traces and Dixmier traceability for global pseudo-differential operators on manifolds with boundary
Duván Cardona, Vishvesh Kumar, Michael Ruzhansky +1
Given a smooth manifold (with or without boundary), in this paper we study the regularisation of traces for the global pseudo-differential calculus in the context of non-harmon…
Global Functional calculus, lower/upper bounds and evolution equations on manifolds with boundary
Duván Cardona, Vishvesh Kumar, Michael Ruzhansky +1
Given a smooth manifold (with or without boundary), in this paper we establish a global functional calculus (without the standard assumption that the operators are classical ps…
Convolution Properties of Orlicz Spaces on hypergroups
A. R. Bagheri Salec, Vishvesh Kumar, S. M. Tabatabaie
In this paper, for a locally compact commutative hypergroup and for a pair of Young functions satisfying sequence condition, we give a necessary condition in terms…
- boundedness of -Fourier multipliers with applications to Nonlinear equations
Vishvesh Kumar, Michael Ruzhansky
The -generalised Fourier transform is the unitary operator defined using the -deformed Dunkl harmonic oscillator.The main aim of this paper is to prove - bounde…