Extrapolation Methods for Spline Collocation Solutions of Pseudodifferential Equations on Curves.
Factorization of matrix-functions and regularization of singular integral operators on manifolds with boundary.
Fast solution of periodic integral equations by GMRES.
Fefferman's SAK principle in one dimension
In this article we give a complete proof in one dimension of an a priori inequality involving pseudo-differential operators: if and are symbols in such that , then for all we have the estimate for all in the Schwartz space, where is the usual norm. We use microlocalization of levels I, II and III in the spirit of Fefferman’s SAK principle.
Feller semigroups, Dirchlet forms, and pseudo differential operators.
Feller semigroups obtained by variable order subordination.
Finite propagation speed and kernels of strictly elliptic operators.
Fonctions de mailles et théorie elliptique des opérateurs aux différences finies (suite)
Fonctions de mailles et théorie elliptique des opérateurs aux différences finies
Formes normales pour des opérateurs pseudodifférentiels semiclassiques en dimension 1
Formulation des valeurs au bord pour les systèmes réguliers
Formule de Poisson pour les variétés riemanniennes.
Formule de trace et applications
Formule de Weyl pour une classe d’opérateurs pseudodifférentiels d’ordre négatif sur
Fourier integral operators and nonlinear wave equations
Fourier integral operators in SG classes. I: Composition theorems and action on SG Sobolev spaces.
Fourier integral operators of infinite order on with an application to a certain Cauchy problem
Fractional Derivatives and Fractional Powers as Tools in Understanding Wentzell Boundary Value Problems for Pseudo-Differential Operators Generating Markov Processes
Mathematics Subject Classification: 26A33, 31C25, 35S99, 47D07.Wentzell boundary value problem for pseudo-differential operators generating Markov processes but not satisfying the transmission condition are not well understood. Studying fractional derivatives and fractional powers of such operators gives some insights in this problem. Since an L^p – theory for such operators will provide a helpful tool we investigate the L^p –domains of certain model operators.* This work is partially supported...
Fredholmness of pseudo-differential operators with nonregular symbols
We establish the Fredholmness of a pseudo-differential operator whose symbol is of class , , in the spatial variable. Our work here refines the work of H. Abels, C. Pfeuffer (2020).
From pseudodifferential analysis to modular form theory
Taking advantage of methods originating with quantization theory, we try to get some better hold - if not an actual construction - of Maass (non-holomorphic) cusp-forms. We work backwards, from the rather simple results to the mostly devious road used to prove them.