𝐻_{∞}-calculus for hypoelliptic pseudodifferential operators

Bilyj, Olesya; Schrohe, Elmar; Seiler, Jörg

doi:10.1090/S0002-9939-10-10271-8

$H_\infty$-calculus for hypoelliptic pseudodifferential operators
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by Olesya Bilyj, Elmar Schrohe and Jörg Seiler PDF

Proc. Amer. Math. Soc. 138 (2010), 1645-1656

Abstract:

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

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