The index of hypoelliptic operators on foliated manifolds
نویسندگان
چکیده
منابع مشابه
The Index of Hypoelliptic Operators on Foliated Manifolds
In [EE1] and [EE2] we presented the solution to the index problem for a natural class of hypoelliptic differential operators on compact contact manifolds. The methods developed to deal with that problem have wider applicability to the index theory of hypoelliptic Fredholm operators. As an example of the power of the proof techniques we present here a new proof of a little known index theorem of...
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3 Pseudodifferential functional calculus 7 3.1 Complex powers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 3.2 Action in Sobolev spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 3.3 f(A) as pseudodifferential operators . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 3.4 The case of Finsler foliations . . . . . . . . . . . . ...
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1. A. H. Clifford, Naturally totally ordered commutative semigroups, Amer. J. Math. 76(1954), 631-646. 2. , Totally ordered commutative semigroups, Bull. Amer. Math. Soc. 64 (1958), 305-316. 3. O. Holder, Die Axiome der Quantitât und die Lehre vom Mass, Ber. Verh. Sachs. Ges. Wiss. Leipzig Math.-Phys. Kl. 53 (1901), 1-64. 4. T. Tamura, Commutative nonpotent archimedean semigroup with cancellati...
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ژورنال
عنوان ژورنال: Journal of Noncommutative Geometry
سال: 2011
ISSN: 1661-6952
DOI: 10.4171/jncg/71