By Nick Dungey,A.F.M. (Tom) ter Elst,Derek William Robinson
Analysis on Lie teams with Polynomial Growth is the 1st ebook to offer a style for studying the striking connection among invariant differential operators and virtually periodic operators on an appropriate nilpotent Lie workforce. It bargains 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 progress, it's attainable to explain the massive time habit for the semigroup generated by means of a posh second-order operator simply by homogenization idea and to provide an asymptotic enlargement. additional, the textual content is going past the classical homogenization thought through 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 comprise wisdom of uncomplicated effects from semigroup concept and Lie staff theory.
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Analysis on Lie Groups with Polynomial Growth (Progress in Mathematics) by Nick Dungey,A.F.M. (Tom) ter Elst,Derek William Robinson