ON A CLASS OF PSEUDO-DIFFERENTIAL OPERATORS ON R

By considering the solution of the stochastic differential equation associ- ated with A, we also obtain an explicit integral representation of the semigroup in more general

The connection between local zeta functions (also called Igusa’s local ze-.. ta functions) and fundamental solutions of p-adic pseudo-differential op- erators has been explicitly

Treves conjectured a general criterion for analytic hypoellipticity [31]: “For a sum of squares of analytic vector fields to be analytic hypoelliptic it is necessary and sufficient

TREVES, On local solvability of linear partial differential equations, I-Necessary conditions. POPIVANOV, On the local solvability of a class of partial

BOUTET DE MONVEL, Hypoelliptic operators with double characteristics and related pseudo differential operators, Comm.. HELFFER, Parametrixes

SIMONENKO, On the question of the solvability of bisingular and poly- singular equations,

THEOREM 2 : Let S and T be left invariant compactly supported pseu- do-differential operators of class S~ and respectively.. We do not use the standard adjoint

Our result shows that if we are only interested in obtaining the a priori estimate characterizing the absence of injectivity pseudo-spectrum with a loss of at most h N/(N+1) , we