115 citations · 1.9k across the 226 of their papers we have counts for
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On a class of anharmonic oscillators II. General case
Marianna Chatzakou, Julio Delgado, Michael Ruzhansky
In this work we study a class of anharmonic oscillators on corresponding to Hamiltonians of the form , where and are functions…
- 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…
Hardy inequalities on metric measure spaces, II: The case
Michael Ruzhansky, Daulti Verma
In this note we continue giving the characterisation of weights for two-weight Hardy inequalities to hold on general metric measure spaces possessing polar decompositions. Since th…
Fourier multipliers for Triebel-Lizorkin spaces on compact Lie groups
Duván Cardona, Michael Ruzhansky
We investigate the boundedness of Fourier multipliers on a compact Lie group when acting on Triebel-Lizorkin spaces. Criteria are given in terms of the Hörmander-Mihlin-Marcinkiewi…
Fourier multipliers for Triebel-Lizorkin spaces on graded Lie groups
Duván Cardona, Michael Ruzhansky
In this work we investigate the boundedness of Fourier multipliers on Triebel-Lizorkin spaces associated to positive Rockland operators on a graded Lie group. The found criterion i…