The Uncertainty Principle in Harmonic Analysis by Victor Havin

The Uncertainty Principle in Harmonic Analysis by Victor Havin

The present book is a collection of variations on a theme which can be summed up as follows: It is impossible for a non-zero function and its Fourier transform to be simultaneously very small. In other words, the approximate equalities x:::::: y and x:::::: fj cannot hold, at the same time and with a high degree of accuracy, unless the functions x and yare identical. Any information gained about x (in the form of a good approximation y) has to be paid for by a corresponding loss of control on x, and vice versa. Such is, roughly speaking, the import of the Uncertainty Principle (or UP for short) referred to in the title ofthis book. That principle has an unmistakable kinship with its namesake in physics - Heisenberg's famous Uncertainty Principle - and may indeed be regarded as providing one of mathematical interpretations for the latter. But we mention these links with Quantum Mechanics and other connections with physics and engineering only for their inspirational value, and hasten to reassure the reader that at no point in this book will he be led beyond the world of purely mathematical facts. Actually, the portion of this world charted in our book is sufficiently vast, even though we confine ourselves to trigonometric Fourier series and integrals (so that The U. P. in Fourier Analysis might be a slightly more appropriate title than the one we chose).

SKU	Unavailable
ISBN 13	9783642783791
ISBN 10	3642783791
Title	The Uncertainty Principle in Harmonic Analysis
Author	Victor Havin
Series	Ergebnisse Der Mathematik Und Ihrer Grenzgebiete 3 Folge A Series Of Modern Surveys In Mathematics
Condition	Unavailable
Binding Type	Paperback
Publisher	Springer
Year published	2011-12-21
Number of pages	547
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note	Unavailable