By Nick Dungey,A.F.M. (Tom) ter Elst,Derek William Robinson
Analysis on Lie teams with Polynomial Growth is the 1st booklet to provide a mode for interpreting the astonishing connection among invariant differential operators and nearly periodic operators on an appropriate nilpotent Lie staff. It bargains with the idea 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 heritage on Lie teams with polynomial development, it's attainable to explain the big time habit for the semigroup generated through a fancy second-order operator simply by homogenization concept and to give an asymptotic growth. additional, the textual content is going past the classical homogenization concept by way of changing an analytical challenge into an algebraic one.
This paintings is aimed toward graduate scholars in addition to researchers within the above parts. must haves comprise wisdom of easy effects from semigroup conception 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