By Nick Dungey

Analysis on Lie teams with Polynomial Growth is the 1st ebook to give a mode for interpreting the incredible connection among invariant differential operators and nearly periodic operators on an appropriate nilpotent Lie staff. It offers with the idea of second-order, correct invariant, elliptic operators on a wide type of manifolds: Lie teams with polynomial progress. In systematically constructing the analytic and algebraic heritage on Lie teams with polynomial development, it really is attainable to explain the big time habit for the semigroup generated by means of a fancy second-order operator by means of homogenization conception and to provide an asymptotic enlargement. additional, the textual content is going past the classical homogenization conception via changing an analytical challenge into an algebraic one.

This paintings is geared toward graduate scholars in addition to researchers within the above parts. must haves contain wisdom of easy effects from semigroup thought and Lie team theory.

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