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By Nick Dungey

Analysis on Lie teams with Polynomial Growth is the 1st publication to give a style for analyzing the miraculous connection among invariant differential operators and nearly periodic operators on an appropriate nilpotent Lie staff. It offers with the speculation of second-order, correct invariant, elliptic operators on a wide category of manifolds: Lie teams with polynomial development. In systematically constructing the analytic and algebraic historical past on Lie teams with polynomial development, it's attainable to explain the massive time habit for the semigroup generated by means of a fancy second-order operator by using homogenization concept and to offer an asymptotic enlargement. additional, the textual content is going past the classical homogenization conception by means of changing an analytical challenge into an algebraic one.

This paintings is geared toward graduate scholars in addition to researchers within the above components. necessities contain wisdom of uncomplicated effects from semigroup thought and Lie crew theory.

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