Hs-Boundedness of a class of Fourier Integral Operators
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Omar Farouk Aid
Abstract
In this paper, we define a particular class of Fourier Integral Operators (FIO for short). These FIO turn out to be bounded on the spaces S (ℝn) of rapidly decreasing functions (or Schwartz space) and S′ (ℝn) of temperate distributions. Results about the composition of FIO with its L2-adjoint are proved. These allow to obtain results about the continuity on the Sobolev Spaces.
(Communicated by Alberto Astra)
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Articles in the same Issue
- Regular Papers
- Quasi-decompositions and quasidirect products of Hilbert algebras
- Residuation in finite posets
- On a problem in the theory of polynomials
- Fekete-Szegö problem for starlike functions connected with k-Fibonacci numbers
- Mapping properties of the Bergman projections on elementary Reinhardt domains
- Lemniscate-like constants and infinite series
- On the Oscillation of second order nonlinear neutral delay differential equations
- Oscillation theorems for certain second-order nonlinear retarded difference equations
- De la Vallée Poussin inequality for impulsive differential equations
- Hs-Boundedness of a class of Fourier Integral Operators
- Dynamical behavior of a P-dimensional system of nonlinear difference equations
- Some inequalities for exponentially convex functions on time scales
- Impact of different types of non linearity on the oscillatory behavior of higher order neutral difference equations
- The sine extended odd Fréchet-G family of distribution with applications to complete and censored data
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- Simulations of nonlinear parabolic PDEs with forcing function without linearization
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- A relationship between the category of chain MV-algebras and a subcategory of abelian groups
