$H_\infty$-calculus for Hypoelliptic Pseudodifferential Operators

Details $H_\infty$-calculus for Hypoelliptic Pseudodifferential Operators $H_\infty$-calculus for Hypoelliptic Pseudodifferential Operators

2009-01-20

arxiv.org/abs/0901.3160v2

Mathematics

Analysis of PDEs

Final version; accepted for publication in Proc. Amer. Math. Soc

Scientific paper

We establish the existence of a bounded $H_\infty$-calculus for a large class
of hypoelliptic pseudodifferential operators on R^n and closed manifolds.

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