s The Newton polyhedron and oscillatory integral operators

Séverine Bernard, Jean-François Colombeau, Antoine Delcroix. Generalized Integral Operators and Applications.. Moreover, in contrast to the distributional case, we show that

Furthermore, our approach is general enough that we can apply it to obtain results about other kinds of operators, such as Calder´on-Zygmund operators, Littlewood-Paley

The Hilbert Schmidt class of operators is a two-sided ideal in the algebra of bounded linear operators; thus A DB is a Hilbert- Schmidt operator if ,i2 is one and

The approximation Ansatz proposed here is a tool to compute approximations of the exact solution to the Cauchy problem (1)–(2) and yields a representation of these so- lution by

The transforms under consideration are integral operators T with polynomially bounded kernel K and for which there is a Plancherel Theorem and include the usual Fourier transform,

This class K contains almost all important operators in harmonic analysis: Calder´on-Zygmund type operators, strongly singular integral operators, multiplier

A mixed boundary value problem for the partial differential equation of difusion in an inhomogeneous medium in a Lipschitz domain is reduced to a system of di- rect

By the method of boundary integral equations, the shape analysis of the solution of the scattering problem with respect to deformations of the obstacle is obtained from the Gˆ