It takes the average reader 9 hours and 22 minutes to read The Uncertainty Principle in Harmonic Analysis by Victor Havin
Assuming a reading speed of 250 words per minute. Learn more
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).
The Uncertainty Principle in Harmonic Analysis by Victor Havin is 547 pages long, and a total of 140,579 words.
This makes it 185% the length of the average book. It also has 172% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 12 hours and 48 minutes to read The Uncertainty Principle in Harmonic Analysis aloud.
The Uncertainty Principle in Harmonic Analysis is suitable for students ages 12 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
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