3 citations · 8 across the 14 of their papers we have counts for
10 papers · 1 filter
Stationary phase with Cauchy singularity. A critical point of signature
Christian Klein, Johannes Sjöstrand, Maher Zerzeri
Asymptotic expressions for an integral appearing in the solution of a d-bar problem are presented. The integral is a solid Cauchy transform of a function with a rapidly oscillating…
Counter-examples to the fractal Weyl law for semiclassical resonances
Jean-Francois Bony, Setsuro Fujiie, Thierry Ramond +1
Under general assumptions, the numbers of semiclassical resonances is known to be bounded from above by a negative power of which is given by the fractal dimension of the trapp…
Semiclassical Gevrey operators and magnetic translations
Michael Hitrik, Richard Lascar, Johannes Sjoestrand +1
We study semiclassical Gevrey pseudodifferential operators acting on the Bargmann space of entire functions with quadratic exponential weights. Using some ideas of the time frequen…
Semiclassical Gevrey operators in the complex domain
Michael Hitrik, Richard Lascar, Johannes Sjoestrand +1
We study semiclassical Gevrey pseudodifferential operators, acting on exponentially weighted spaces of entire holomorphic functions. The symbols of such operators are Gevrey functi…
Resonances over a potential well in an island
Johannes Sjöstrand, Maher Zerzeri
In this paper we study the distribution of scattering resonances for a multidimensional semi-classical Schrödinger operator, associated to a potential well in an island at energies…
Barrier-top resonances for non globally analytic potentials
Jean-Francois Bony, Setsuro Fujiie, Thierry Ramond +1
We give the semiclassical asymptotic of barrier-top resonances for Schrödinger operators on , , whose potential is everywhere and analytic a…