Some properties of Legendre functions and related applications.
Some properties of Riesz means and spectral expansions. (With an appendix by R. A. Gustafson).
Some remarks on a result of Talenti
Some remarks on double-wells in one and three dimensions
Some remarks on eigenfunction expansions for Schrödinger operators with non-local potentials.
Some remarks on infinite-dimensional nonlinear elliptic problems.
Some remarks on the multi-dimensional Borg-Levinson theorem
Some remarks on the number of solutions of some nonlinear elliptic problems
Some remarks on the Weyl asymptotics by the approximate spectral projection method
In questo lavoro studiamo il resto relativo della formula asintotica per gli autovalori di un operatore differenziale in , ottenuta mediante il metodo delle proiezioni spettrali approssimate ([3], Theorem 6.2). In un primo tempo diamo un controesempio di un operatore di Schrödinger con potenziale a crescita algebrica, per il quale il resto non è limitato. Quindi specifichiamo alcune condizioni addizionali da imporre all'operatore in modo da avere un resto infinitesimo.
Some Remarks on Transmutation, Scattering Theory, and Special Functions.
Some results on eigenfunctions on symmetric spaces and eigenspace representations.
Some solved and unsolved canonical problems of diffraction theory
Some stability properties for minimal solutions of .
Some topics in spectral geometry
Spectral analysis in a thin domain with periodically oscillating characteristics
The paper deals with a Dirichlet spectral problem for an elliptic operator with ε-periodic coefficients in a 3D bounded domain of small thickness δ. We study the asymptotic behavior of the spectrum as ε and δ tend to zero. This asymptotic behavior depends crucially on whether ε and δ are of the same order (δ ≈ ε), or ε is much less than δ(δ = ετ, τ < 1), or ε is much greater than δ(δ = ετ, τ > 1). We consider all three cases.
Spectral analysis in a thin domain with periodically oscillating characteristics
The paper deals with a Dirichlet spectral problem for an elliptic operator with ε-periodic coefficients in a 3D bounded domain of small thickness δ. We study the asymptotic behavior of the spectrum as ε and δ tend to zero. This asymptotic behavior depends crucially on whether ε and δ are of the same order (δ ≈ ε), or ε is much less than δ(δ = ετ, τ < 1), or ε is much greater than δ(δ = ετ, τ > 1). ...
Spectral analysis of long wavelength periodic waves and applications.
Spectral analysis of non-compact manifolds using commutator methods
Spectral analysis of non-self-adjoint elliptic operators
Spectral analysis of strongly propagative systems.