Browsing School of Mathematical Sciences by Author "Ruzhansky, M"
Now showing items 1-20 of 129
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Almost global well-posedness of Kirchhoff equation with Gevrey data
Matsuyama, T; Ruzhansky, M (2017-05) -
Anisotropic L-2-weighted Hardy and L-2-Caffarelli-Kohn-Nirenberg inequalities
Ruzhansky, M; Suragan, D (2017-12) -
Anisotropic Shannon inequality
Chatzakou, M; Kassymov, A; Ruzhansky, M (2021-06-27)In this note we prove the anisotropic version of the Shannon inequality. This can be conveniently realised in the setting of Folland and Stein's homogeneous groups. We give two proofs: one giving the best constant, and ... -
Approximation property and nuclearity on mixed-norm L-p, modulation and Wiener amalgam spaces
Delgado, J; Ruzhansky, M; Wang, B (2016-10) -
Approximations in $L^1$ with convergent Fourier series
Avetisyan, Z; Grigoryan, M; Ruzhansky, M (Springer (part of Springer Nature), 2020)For a separable finite diffuse measure space $\mathcal{M}$ and an orthonormal basis $\{\varphi_n\}$ of $L^2(\mathcal{M})$ consisting of bounded functions $\varphi_n\in L^\infty(\mathcal{M})$, we find a measurable subset ... -
Asymptotic estimates for the growth of deformed Hankel transform by modulus of continuity
Ruzhansky, M; Kumar, V; Restrepo, J (Springer, 2023-11-22) -
Bitsadze-Samarskii type problem for the integro-differential diffusion-wave equation on the Heisenberg group
Ruzhansky, M; Tokmagambetov, N; Torebek, BT (2020-01-02) -
BOUNDEDNESS OF THE DYADIC MAXIMAL FUNCTION ON GRADED LIE GROUPS
Ruzhansky, M; CARDONA, D; DELGADO, J (Oxford University Press, 14-06-2024) -
Caffarelli-Kohn-Nirenberg and Sobolev type inequalities on stratified Lie groups
Ruzhansky, M; Suragan, D; Yessirkegenov, N (2017-10) -
A comparison principle for higher order nonlinear hypoelliptic heat operators on graded Lie groups
Ruzhansky, M; Yessirkegenov, N (2021)In this paper we present a comparison principle for higher order nonlinear hypoelliptic heat operators on graded Lie groups. Moreover, using the comparison principle we obtain blow-up type results and global in $t$-boundedness ... -
A comparison principle for nonlinear heat Rockland operators on graded groups
Ruzhansky, M; Suragan, D (2018-10) -
Convolution, Fourier analysis, and distributions generated by Riesz bases
Ruzhansky, M; Tokmagambetov, N (2018-09) -
Critical Gagliardo-Nirenberg, Trudinger, Brezis-Gallouet-Wainger inequalities on graded groups and ground states
Ruzhansky, M; Yessirkegenov, NIn this paper we investigate critical Gagliardo-Nirenberg, Trudinger-type and Brezis-Gallouet-Wainger inequalities associated with the positive Rockland operators on graded groups, which includes the cases of $\mathbb R^n$, ... -
CRITICAL HARDY INEQUALITIES
Ruzhansky, M; Suragan, D (2019) -
Difference equations and pseudo-differential operators on $\mathbb{Z}^n$
Botchway, LNA; Kibiti, PG; Ruzhansky, MIn this paper we develop the calculus of pseudo-differential operators on the lattice $\mathbb{Z}^n$, which we can call pseudo-difference operators. An interesting feature of this calculus is that the phase space is compact ... -
Direct and Inverse problems for time-fractional pseudo-parabolic equations
Ruzhansky, M; Serikbaev, D; Tokmagambetov, N; Torebek, BTThe purpose of this paper is to establish the solvability results to direct and inverse problems for time-fractional pseudo-parabolic equations with the self-adjoint operators. We are especially interested in proving ... -
A Direct Method of Moving Planes for Logarithmic Schrödinger Operator
Ruzhansky, M; Rong, Z; Kumar, V -
Discrete time-dependent wave equations I. Semiclassical analysis
Dasgupta, A; Ruzhansky, M; Tushir, A (2022) -
Eigenfunction expansions of ultradifferentiable functions and ultradistributions. II. Tensor representations
Dasgupta, A; Ruzhansky, M (2018-05-07) -
Eigenfunction expansions of ultradifferentiable functions and ultradistributions. III. Hilbert spaces and Universality
Dasgupta, A; Ruzhansky, M (Springer, 2021-03)In this paper we analyse the structure of the spaces of smooth type functions, generated by elements of arbitrary Hilbert spaces, as a continuation of the research in our previous papers in this series. We prove that these ...