## Fourier Analysis and Partial Differential EquationsFourier Analysis and Partial Differential Equations presents the proceedings of the conference held at Miraflores de la Sierra in June 1992. These conferences are held periodically to assess new developments and results in the field. The proceedings are divided into two parts. Four mini-courses present a rich and actual piece of mathematics assuming minimal background from the audience and reaching the frontiers of present-day research. Twenty lectures cover a wide range of data in the fields of Fourier analysis and PDE. This book, representing the fourth conference in the series, is dedicated to the late mathematician Antoni Zygmund, who founded the Chicago School of Fourier Analysis, which had a notable influence in the development of the field and significantly contributed to the flourishing of Fourier analyis in Spain. |

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### Contents

Stylianos Pichorides 19401992 | 7 |

BandLimited Wavelets by Aline Bonami Fernando | 21 |

A Family of Degenerate Differential Operators | 57 |

Copyright | |

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### Common terms and phrases

analysis applies argument associated assume assumption Banach space bases basis boundary bounded boundedness characterization complete condition consequence consider constant continuous converges convex defined definition denote depends derivatives differential discuss distributions domain equality equation equivalent estimate example exists fact finite fixed Fourier function give given Hardy Hence holds identity implies independent inequality integral interval introduced known Lemma Lipschitz maps Math maximal function mean measure norm Note observe obtain operator orthonormal partial particular polynomial positive present problem proof properties Proposition prove REMARK respect result satisfies side singular integrals smooth solution solvability spaces strong sufficiently sums Suppose Theorem theory transform type inequality unique vanishes wavelet weights write zero