"Lie Groups with Polynomial Growth" is the first book to present a method for examining the surprising connection between invariant differential operators and almost periodic operators on a suitable nilpotent Lie group. The text is self-contained, including a review of well established local theory for elliptic operators, a summary of the essential aspects of Lie group theory, numerous illustrative examples, and open questions. The work is aimed at the graduate students as well as researchers in the above areas.

Cr�ticas:

"The book is written in a very concise, clear, and elegant way. Misprints are rare... There are no exercises, but the book is well equipped with examples, which help to understand the assertions and are, as a rule, of independent interest. To sum up, the text presents an extremely interesting account of some of the most important developments in the chosen direction."

―MATHEMATICAL REVIEWS

"The boal of the book under review is to present a method for examing the surprising connection between invariant differential operators and almost periodic operators on Lie groups with polynomial growth. . . The book is deveoted to a very interesting topic. It is aimed to graduate studetns as well as researchers, and it can be highly recommended."

---ZAA

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