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Fundamental solution of the Vladimirov-Taibleson operator on noncommutative Vilenkin groups
Julio delgado, Juan Pablo Velasquez-Rodriguez
The fundamental solution and the heat semigroup of the Vladimirov-Taibleson operator on constant-order noncommutative Vilenkin groups are obtained, together with some estimates on…
On the set of Gâteaux differentiability of the norm
Julio Delgado, Andrés F. Muñoz-Tello
Let be a measure space. In this paper we establish the set of Gâteaux differentiability for the usual norm of and the corresponding derivative f…
Determinants and Plemelj-Smithies formulas
Duván Cardona, Julio Delgado, Michael Ruzhansky
We establish Plemelj-Smithies formulas for determinants in different algebras of operators. In particular we define a Poincaré type determinant for operators on the torus $\Tn$ and…
Titchmarsh theorems for Fourier transforms of Hölder-Lipschitz functions on compact homogeneous manifolds
Radouan Daher, Julio Delgado, Michael Ruzhansky
In this paper we extend classical Titchmarsh theorems on the Fourier transform of Hölder-Lipschitz functions to the setting of compact homogeneous manifolds. As an application, we…
Grothendieck-Lidskii trace formula for mixed-norm and variable Lebesgue spaces
Julio Delgado, Michael Ruzhansky, Baoxiang Wang
In this note we present the metric approximation property for weighted mixed-norm and variable exponent Lebesgue type spaces. As a consequence, this also i…