40 citations · 85 across the 8 of their papers we have counts for
8 papers
Divergence operator and Poincare inequalities on arbitrary bounded domains
Ricardo Duran, Maria-Amelia Muschietti, Emmanuel Russ +1
Let be an arbitrary bounded domain of . We study the right invertibility of the divergence on in weighted Lebesgue and Sobolev spaces on , and rely this invertibil…
On the resolvent and spectral functions of a second order differential operator with a regular singularity
H. Falomir, M. A. Muschietti, P. A. G. Pisani
We consider the resolvent of a second order differential operator with a regular singularity, admitting a family of self-adjoint extensions. We find that the asymptotic expansion f…
Unusual poles of the -functions for some regular singular differential operators
H. Falomir, M. A. Muschietti, P. A. G. Pisani +1
We consider the resolvent of a system of first order differential operators with a regular singularity, admitting a family of self-adjoint extensions. We find that the asymptotic e…
On gauge invariant regularization of fermion currents
R. E. Gamboa Saravi, M. A. Muschietti, J. E. Solomin
We compare Schwinger and complex powers methods to construct regularized fermion currents. We show that although both of them are gauge invariant they not always yield the same res…
A calculation with a bi-orthogonal wavelet transformation
H. Falomir, M. A. Muschietti, E. M. Santangelo +1
We explore the use of bi-orthogonal basis for continuous wavelet transformations, thus relaxing the so-called admissibility condition on the analyzing wavelet. As an application, w…
On the relation between determinants and Green functions of elliptic operators with local boundary conditions
Horacio Alberto Falomir, Ricardo Enrique Gamboa Saravi, Mar\'{\I}a Amelia Muschietti +2
A formula relating quotients of determinants of elliptic differential operators sharing their principal symbol, with local boundary conditions, to the corresponding Green function…