Analysis on Lie Groups with Polynomial Growth (Progress in by Nick Dungey,A.F.M. (Tom) ter Elst,Derek William Robinson

By Nick Dungey,A.F.M. (Tom) ter Elst,Derek William Robinson

Analysis on Lie teams with Polynomial Growth is the 1st publication to provide a mode for analyzing the astounding connection among invariant differential operators and virtually periodic operators on an appropriate nilpotent Lie workforce. 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 history on Lie teams with polynomial progress, it's attainable to explain the massive time habit for the semigroup generated by way of a posh second-order operator as a result of homogenization concept and to offer an asymptotic enlargement. extra, the textual content is going past the classical homogenization conception by way of changing an analytical challenge into an algebraic one.

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

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