5 citations · 16 across the 13 of their papers we have counts for
13 papers
On projection from to the Hardy spaces
Armen Jerbashian, Joel E. Restrepo
This paper describes the known results on the projection from the most general holomorphic spaces , which depend on a functional parameter and are over the unit disc, up…
Evolutionary integro-differential equations of scalar type on locally compact groups
Santiago Gómez Cobos, Joel E. Restrepo, Michael Ruzhansky
We study existence, uniqueness, norm estimates and asymptotic time behaviour (in some cases can be claimed to be sharp) for the solution of a general evolutionary integral (differe…
estimates for non-local heat and wave type equations on locally compact groups
Santiago Gómez Cobos, Joel E. Restrepo, Michael Ruzhansky
We prove the norm estimates for the solutions of heat and wave type equations on a locally compact separable unimodular group by…
Integro-differential diffusion equations on graded Lie groups
Joel E. Restrepo, Michael Ruzhansky, Berikbol T. Torebek
We first study the existence, uniqueness and well-posedness of a general class of integro-differential diffusion equation on , is a gra…
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.…
Boundedness of spectral multipliers on locally compact groups and applications
Santiago Gómez Cobos, Joel E. Restrepo, Michael Ruzhansky
We prove that the noncommutative Lorentz norm (associated to a semifinite von Neumann algebra) of a propagator of the form can be estimated if the modulus of the…
Heat and wave type equations with non-local operators, II. Hilbert spaces and graded Lie groups
Marianna Chatzakou, Joel E. Restrepo, Michael Ruzhansky
We study heat and wave type equations on a separable Hilbert space by considering non-local operators in time with any positive densely defined linear operator with d…
Heat and wave type equations with non-local operators, I. Compact Lie groups
Wagner A. A. de Moraes, Joel E. Restrepo, Michael Ruzhansky
We prove existence, uniqueness and give the analytical solution of heat and wave type equations on a compact Lie group by using a non-local (in time) differential operator and…
Prabhakar-type linear differential equations with variable coefficients
Arran Fernandez, Joel E. Restrepo, Durvudkhan Suragan
Linear differential equations with variable coefficients and Prabhakar-type operators featuring Mittag-Leffler kernels are solved. In each case, the unique solution is constructed…
Lipschitz and Fourier type conditions with moduli of continuity in rank 1 symmetric spaces
Arran Fernandez, Joel E. Restrepo, Durvudkhan Suragan
Sufficient and necessary results have been proven on Lipschitz type integral conditions and bounds of its Fourier transform for an function, in the setting of Riemannian symm…
A new representation for the solutions of fractional differential equations with variable coefficients
Arran Fernandez, Joel E. Restrepo, Durvudkhan Suragan
A recent development in the theory of fractional differential equations with variable coefficients has been a method for obtaining an exact solution in the form of an infinite seri…
Generalized fractional Dirac type operators
Joel E. Restrepo, Michael Ruzhansky, Durvudkhan Suragan
We introduce a class of fractional Dirac type operators with time variable coefficients by means of a Witt basis, the Djrbashian-Caputo fractional derivative and the fractional Lap…
Explicit solutions for linear variable-coefficient fractional differential equations with respect to functions
Joel E. Restrepo, Michael Ruzhansky, Durvudkhan Suragan
Explicit solutions of differential equations of complex fractional orders with respect to functions and with continuous variable coefficients are established. The representations o…