Inverse source problems for positive operators. I: Hypoelliptic diffusion and subdiffusion equations

M Ruzhansky, N Tokmagambetov… - Journal of Inverse and Ill …, 2019 - degruyter.com
A class of inverse problems for restoring the right-hand side of a parabolic equation for a
large class of positive operators with discrete spectrum is considered. The results on …

Very weak solutions of wave equation for Landau Hamiltonian with irregular electromagnetic field

M Ruzhansky, N Tokmagambetov - Letters in Mathematical Physics, 2017 - Springer
In this paper, we study the Cauchy problem for the Landau Hamiltonian wave equation, with
time-dependent irregular (distributional) electromagnetic field and similarly irregular velocity …

Wave equation for operators with discrete spectrum and irregular propagation speed

M Ruzhansky, N Tokmagambetov - Archive for Rational Mechanics and …, 2017 - Springer
Given a Hilbert space HH, we investigate the well-posedness of the Cauchy problem for the
wave equation for operators with a discrete non-negative spectrum acting on H H. We …

On a non–local problem for a multi–term fractional diffusion-wave equation

M Ruzhansky, N Tokmagambetov… - Fractional Calculus and …, 2020 - degruyter.com
This paper deals with the multi-term generalisation of the time-fractional diffusion-wave
equation for general operators with discrete spectrum, as well as for positive hypoelliptic …

Quantum harmonic analysis for polyanalytic Fock spaces

R Fulsche, R Hagger - Journal of Fourier Analysis and Applications, 2024 - Springer
We develop the quantum harmonic analysis framework in the reducible setting and apply
our findings to polyanalytic Fock spaces. In particular, we explain some phenomena …

Donoho-Logan large sieve principles for modulation and polyanalytic Fock spaces

LD Abreu, M Speckbacher - Bulletin des Sciences Mathématiques, 2021 - Elsevier
We obtain estimates for the L p-norm of the short-time Fourier transform (STFT) for functions
in modulation spaces, providing information about the concentration on a given subset of R …

The Weyl–Heisenberg ensemble: hyperuniformity and higher Landau levels

LD Abreu, JM Pereira, JL Romero… - Journal of Statistical …, 2017 - iopscience.iop.org
Weyl–Heisenberg ensembles are a class of determinantal point processes associated with
the Schrödinger representation of the Heisenberg group. Hyperuniformity characterizes a …

Harmonic analysis in phase space and finite Weyl–Heisenberg ensembles

LD Abreu, K Gröchenig, JL Romero - Journal of Statistical Physics, 2019 - Springer
Weyl–Heisenberg ensembles are translation-invariant determinantal point processes on R^
2d R 2 d associated with the Schrödinger representation of the Heisenberg group, and …

Coherent states and their generalizations for a charged particle in a magnetic field

VV Dodonov - Coherent States and Their Applications: A …, 2018 - Springer
This is a brief review of various families of coherent and squeezed states (and their
generalizations) for a charged particle in a magnetic field, that have been constructed for the …

[HTML][HTML] The density theorem for discrete series representations restricted to lattices

JL Romero, JT van Velthoven - Expositiones Mathematicae, 2022 - Elsevier
This article considers the relation between the spanning properties of lattice orbits of
discrete series representations and the associated lattice co-volume. The focus is on the …