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The Fourier integral operators on Hardy spaces associated with Herz spaces

Lixia Liu, Bolin Ma, Sanyang Liu (2011)

Czechoslovak Mathematical Journal

In this paper, it is proved that the Fourier integral operators of order $m$ , with $- n < m \leq - (n - 1) / 2$ , are bounded from three kinds of Hardy spaces associated with Herz spaces to their corresponding Herz spaces.

The level crossing problem in semi-classical analysis I. The symmetric case

Yves Colin de Verdière (2003)

Annales de l’institut Fourier

We describe a microlocal normal form for a symmetric system of pseudo-differential equations whose principal symbol is a real symmetric matrix with a generic crossing of eigenvalues. We use it in order to give a precise description of the microlocal solutions.

The level crossing problem in semi-classical analysis. II. The Hermitian case

Yves Colin de Verdière (2004)

Annales de l’institut Fourier

This paper is the second part of the paper ``The level crossing problem in semi-classical analysis I. The symmetric case''(Annales de l'Institut Fourier in honor of Frédéric Pham). We consider here the case where the dispersion matrix is complex Hermitian.

Displaying 1 – 6 of 6

The Fourier integral operators on Hardy spaces associated with Herz spaces

The level crossing problem in semi-classical analysis I. The symmetric case

The level crossing problem in semi-classical analysis. II. The Hermitian case

The microlocal Landau-Zener formula

The symbol of a lagrangian distribution

Two endpoint bounds for generalized Radon transforms in the plane.

Currently displaying 1 – 6 of 6