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Hypercontractivity and logarithmic Sobolev inequalities for the Clifford- Dirichlet form. (English) Zbl 0359.46038

##### MSC:
 46L05 General theory of $$C^*$$-algebras 47B15 Hermitian and normal operators (spectral measures, functional calculus, etc.) 46K99 Topological (rings and) algebras with an involution 46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
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