Add to ORKGAbstract We will show that the factorization condition for the Fourier integral operators I X Y leads to a parametrized parabolic MongeAmpere equation In case of an analytic operator the bration by the kernels of the Hessian of phase function is shown to be analytic in a number of cases by considering more general continuation problem for the level sets of a holomorphic mapping The results are applied to obtain L p continuity for translation invariant operators in R n with n and for arbitrary R n with
We study continuity properties of generalized Monge-Amp`ere operators for plurisubharmonic functions...
Let {P n(x)} n=0∞ be a sequence of polynomials of degree n. We define two sequences of differential ...
The approach to the Cauchy problem taken here by the authors is based on theuse of Fourier integral ...
We will show that the factorization condition for the Fourier integral operators I X Y leads to a...
We will show that the factorization condition for the Fourier integral operators I-rho(mu)(X, Y; Lam...
In this paper we give examples of polynomial phase functions for which the factorization condition o...
We consider regularity properties of Fourier integral operators in various function spaces. The most...
In this work, we develop a global calculus for a class of Fourier integral ope-\\rators with symbols...
In this work, as in [2] and [3], we construct examples of positive definite integral kernels which a...
In this paper we develop a new approach to the theory of Fourier integral operators. It allows us to...
A theory of analytic model of a class of simple hyponormal operators is given by means of a pair of ...
An appropriate general version of the kernel theorem of L. Schwartz is formulated for Fourier hyperf...
In this paper, an open problem in the multidimensional complex analysis is presented that ...
The Fourier transform operator and other operations that occur in Fourier analysis, such as scaling,...
We prove the global Lp-boundedness of Fourier integral operators that model the parametrices for hyp...
We study continuity properties of generalized Monge-Amp`ere operators for plurisubharmonic functions...
Let {P n(x)} n=0∞ be a sequence of polynomials of degree n. We define two sequences of differential ...
The approach to the Cauchy problem taken here by the authors is based on theuse of Fourier integral ...
We will show that the factorization condition for the Fourier integral operators I X Y leads to a...
We will show that the factorization condition for the Fourier integral operators I-rho(mu)(X, Y; Lam...
In this paper we give examples of polynomial phase functions for which the factorization condition o...
We consider regularity properties of Fourier integral operators in various function spaces. The most...
In this work, we develop a global calculus for a class of Fourier integral ope-\\rators with symbols...
In this work, as in [2] and [3], we construct examples of positive definite integral kernels which a...
In this paper we develop a new approach to the theory of Fourier integral operators. It allows us to...
A theory of analytic model of a class of simple hyponormal operators is given by means of a pair of ...
An appropriate general version of the kernel theorem of L. Schwartz is formulated for Fourier hyperf...
In this paper, an open problem in the multidimensional complex analysis is presented that ...
The Fourier transform operator and other operations that occur in Fourier analysis, such as scaling,...
We prove the global Lp-boundedness of Fourier integral operators that model the parametrices for hyp...
We study continuity properties of generalized Monge-Amp`ere operators for plurisubharmonic functions...
Let {P n(x)} n=0∞ be a sequence of polynomials of degree n. We define two sequences of differential ...
The approach to the Cauchy problem taken here by the authors is based on theuse of Fourier integral ...