The translation of the first book forms the core of this Springer edition；to this have been added all of the exercises from the second book．The exercises appear at the end of the lessons to which they apply．The solutions to the exercises were not included because of space constraints．

Translator‘s Preface

Preface to the French Edition

ChapterⅠ Signals and Systems

 Lesson 1 Signals and Systems

1.1 General considerations

1.2 Some elementary signals

1.3 Examples of systems

……

ChapterⅡ Periodic Signals

ChapterⅢ The Discrete Fourier Transform Transform and Numerical Computations

ChapterⅣ The Lebesgue Integral

ChapterⅤ Sapces

ChapterⅥ Hilbert Spaces

ChapterⅦ Analong Filters

ChapterⅧ Distributions

ChapterⅨ Convolution and the Fourier Transform of Distributions

ChapterⅩ Filters and Distributions

ChapterⅪ Sampling and Dicrete Filters

ChapterⅫ Current Trends:Time-Frequency Analysis

References

Index