33 citations · 558 across the 95 of their papers we have counts for
6 papers · 1 filter
Weyl asymptotics for tensor products of operators and Dirichlet divisors
Todor Gramchev, Stevan Pilipovic, Luigi Rodino +1
We study the counting function of the eigenvalues for tensor products of operators, and their perturbations, in the context of Shubin classes and closed manifolds. We emphasize con…
Chebyshev Upper Estimates for Beurling's Generalized Prime Numbers
Jasson Vindas
Let be the counting function of a Beurling generalized number system and let be the counting function of its primes. We show that the -condition $$ \int_{1}^{\infty}…
Characterization of distributions having a value at a point in the sense of Robinson
Hans Vernaeve, Jasson Vindas
We characterize Schwartz distributions having a value at a single point in the sense introduced by means of nonstandard analysis by A. Robinson. They appear to be distributions con…
Regularity properties of distributions through sequences of functions
Stevan Pilipovic, Dimitris Scarpalezos, Jasson Vindas
We give necessary and sufficient criteria for a distribution to be smooth or uniformly Hölder continuous in terms of approximation sequences by smooth functions; in particular, in…
Distributional versions of Littlewood's Tauberian theorem
Ricardo Estrada, Jasson Vindas
We provide several general versions of Littlewood's Tauberian theorem. These versions are applicable to Laplace transforms of Schwartz distributions. We apply these Tauberian resul…
Chebyshev Estimates for Beurling Generalized Prime Numbers. I
Jasson Vindas
We provide new sufficient conditions for Chebyshev estimates for Beurling generalized primes. It is shown that if the counting function of a generalized number system satisfies…