It takes the average reader 8 hours and 21 minutes to read Harmonic Analysis in Hypercomplex Systems by Yu.M. Berezansky
Assuming a reading speed of 250 words per minute. Learn more
First works related to the topics covered in this book belong to J. Delsarte and B. M. Le vitan and appeared since 1938. In these works, the families of operators that generalize usual translation operators were investigated and the corresponding harmonic analysis was constructed. Later, starting from 1950, it was noticed that, in such constructions, an important role is played by the fact that the kernels of the corresponding convolutions of functions are nonnegative and by the properties of the normed algebras generated by these convolutions. That was the way the notion of hypercomplex system with continu ous basis appeared. A hypercomplex system is a normed algebra of functions on a locally compact space Q-the "basis" of this hypercomplex system. Later, similar objects, hypergroups, were introduced, which have complex-valued measures on Q as elements and convolution defined to be essentially the convolution of functionals and dual to the original convolution (if measures are regarded as functionals on the space of continuous functions on Q). However, until 1991, the time when this book was written in Russian, there were no monographs containing fundamentals of the theory (with an exception of a short section in the book by Yu. M. Berezansky and Yu. G. Kondratiev [BeKo]). The authors wanted to give an introduction to the theory and cover the most important subsequent results and examples.
Harmonic Analysis in Hypercomplex Systems by Yu.M. Berezansky is 494 pages long, and a total of 125,476 words.
This makes it 167% the length of the average book. It also has 153% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 11 hours and 25 minutes to read Harmonic Analysis in Hypercomplex Systems aloud.
Harmonic Analysis in Hypercomplex Systems 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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