Analysis on Lie Groups with Polynomial Growth

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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.