Displaying similar documents to “(Ultra)differentiable functional calculus and current extension of the resolvent mapping”

Non-holomorphic functional calculus for commuting operators with real spectrum

Mats Andersson, Bo Berndtsson (2002)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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We consider n -tuples of commuting operators a = a 1 , ... , a n on a Banach space with real spectra. The holomorphic functional calculus for a is extended to algebras of ultra-differentiable functions on ℝ n , depending on the growth of ∥ exp ( i a · t ) ∥ , t ∈ ℝ n , when | t | → ∞ . In the non-quasi-analytic case we use the usual Fourier transform, whereas for the quasi-analytic case we introduce a variant of the FBI transform, adapted to ultradifferentiable classes.

On the Taylor functional calculus

V. Müller (2002)

Studia Mathematica

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We give a Martinelli-Vasilescu type formula for the Taylor functional calculus and a simple proof of its basic properties.

The monogenic functional calculus

Brian Jefferies, Alan McIntosh, James Picton-Warlow (1999)

Studia Mathematica

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A study is made of a symmetric functional calculus for a system of bounded linear operators acting on a Banach space. Finite real linear combinations of the operators have real spectra, but the operators do not necessarily commute with each other. Analytic functions of the operators are formed by using functions taking their values in a Clifford algebra.