Geodesic
Cohomology of Sheaves of Fr\'echet Algebras and Spectral Theory
Funkcionalʹnyj analiz i ego priloženiâ, Tome 39 (2005) no. 3, pp. 76-80

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We propose a holomorphic functional calculus for a noncommutative operator family generating a supernilpotent Lie subalgebra. This calculus extends Taylor's holomorphic functional calculus.
Keywords: functional calculus, Putinar spectrum, sheaf of Fréchet algebras, sheaf cohomology. 
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     author = {A. A. Dosiev},
     title = {Cohomology of {Sheaves} of {Fr\'echet} {Algebras} and {Spectral} {Theory}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
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A. A. Dosiev. Cohomology of Sheaves of Fr\'echet Algebras and Spectral Theory. Funkcionalʹnyj analiz i ego priloženiâ, Tome 39 (2005) no. 3, pp. 76-80. http://geodesic.mathdoc.fr/item/FAA_2005_39_3_a6/