138 citations · 270 across the 15 of their papers we have counts for
18 papers
Discussing semigroup bounds with resolvent estimates
Bernard Helffer, Johannes Sjöstrand, Joe Viola
The purpose of this paper is to revisit the proof of the Gearhart-Prüss-Huang-Greiner theorem for a semigroup , following the general idea of the proofs that we have seen in…
Norms of embeddings between quadratically weighted spaces of holomorphic functions
Joe Viola
We consider spaces of holomorphic functions which are square-integrable against a Gaussian weight, which appear in the theory of metaplectic FBI--Bargmann transforms. We identify t…
The shifted harmonic oscillator and the hypoelliptic Laplacian on the circle
Boris Mityagin, Petr Siegl, Joe Viola
We study the semigroup generated by the hypoelliptic Laplacian on the circle and the maximal bounded holomorphic extension of this semigroup. Using an orthogonal decomposition into…
Concentration of eigenfunctions of Schroedinger operators
Boris Mityagin, Petr Siegl, Joe Viola
We consider the limit measures induced by the rescaled eigenfunctions of single-well Schrödinger operators. We show that the limit measure is supported on and with the den…
Dirac brushes (or, the fractional Fourier transform of Dirac combs)
Joe Viola
In analogy with the Poisson summation formula, we identify when the fractional Fourier transform, applied to a Dirac comb in dimension one, gives a discretely supported measure. We…
Quaternionic structure and analysis of some Kramers-Fokker-Planck operators
Mona Ben Said, Francis Nier, Joe Viola
The present article is concerned with global subelliptic estimates for Kramers-Fokker-Planck operators with polynomials of degree less than or equal to two. The constants appearing…