Pointwise and directional regularity of nonharmonic Fourier series - Archive ouverte HAL Access content directly
Journal Articles Applied and Computational Harmonic Analysis Year : 2010

Pointwise and directional regularity of nonharmonic Fourier series

Abstract

We investigate how the regularity of nonharmonic Fourier series is related to the spacing of their frequencies. This is obtained by using a transform which simultane- ously captures the advantages of the Gabor and Wavelet transforms. Applications to the everywhere irregularity of solutions of some PDEs are given. We extend these results to the anisotropic setting in order to derive directional irregularity criteria.
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Dates and versions

hal-00798367 , version 1 (08-03-2013)

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  • HAL Id : hal-00798367 , version 1

Cite

Stéphane Jaffard. Pointwise and directional regularity of nonharmonic Fourier series. Applied and Computational Harmonic Analysis, 2010, 22 (3), pp.251-266. ⟨hal-00798367⟩
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