It takes the average reader 9 hours and 8 minutes to read Non-Commutative Harmonic Analysis by Raymond C. Fabec
Assuming a reading speed of 250 words per minute. Learn more
This is a graduate text on harmonic analysis. It begins with a chapter on Fourier series. The next two chapters are spent covering function theory on real spaces and the classical Fourier transform. Following this is a chapter covering the Paley-Wiener Theorem, distributions, convolution, the Sobolev Lemma, the Shannon Sampling Theorem, windowed and wavelet transforms, and the Poisson summation formula. The later chapters deal with non-commutative theory. Topics include abstract homogeneous spaces and fundamentals of representation theory. These are used in the last two chapters. The first covers the Heisenberg group which encode the Heisenberg uncertainty principle. This is first instance of the use of infinite dimensional representations. The last covers the basic theory of compact groups. Here finite dimensionality is sufficient. Spherical functions and Gelfand pairs are discussed. There is also a section on finite groups. The text is interspersed with over 50 exercise sets that range in difficulty from basic to challenging. The text should be useful to graduate students in mathematics, physics, and engineering.
Non-Commutative Harmonic Analysis by Raymond C. Fabec is 529 pages long, and a total of 137,011 words.
This makes it 179% the length of the average book. It also has 167% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 12 hours and 28 minutes to read Non-Commutative Harmonic Analysis aloud.
Non-Commutative 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.
When deciding what to show young students always use your best judgement and consult a professional.
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