Research Interests:
Research Interests:
In this work, we study the L2-boundedness and L2-compactness of a class of h-Fourier integral operators with the complex phase. These operators are bounded (respectively compact) if the weight of the amplitude is bounded (respectively... more
In this work, we study the L2-boundedness and L2-compactness of a class of h-Fourier integral operators with the complex phase. These operators are bounded (respectively compact) if the weight of the amplitude is bounded (respectively tends to 0).
Research Interests:
F.Gramain [7] presente the situation in 1988 an attempt of the same kind: how to show by a method of transcendence, a result obtained in 1933 by A.O.Guelfond on entire functions taking integer values in all points of a geometric... more
F.Gramain [7] presente the situation in 1988 an attempt of the same kind: how to show by a method of transcendence, a result obtained in 1933 by A.O.Guelfond on entire functions taking integer values in all points of a geometric progression, like the previous multiplicative additive problem (see[6] theorem VIII). On the other hand, the same type of results for entire functions of several variables were obtained by P.Bundschuh1980 and J.P.Bézivin 1983 the first uses Newton interpolation series in several variables and the second linear récurentes suites. J.P.Bézivin[1] in 1984 studied a multivariate generalization of a result the Guelfond. Tanguy Rivoal and