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Operators with an absolute functional calculus [PDF]

Mathematische Annalen, 2009
We study sectorial operators with a special type of functional calculus, which we term an absolute functional calculus. A typical example of such an operator is an invertible operator A (defined on a Banach space X) considered on the real interpolation ...
N J Kalton
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Functional Itô calculus

Quantitative Finance, 2009
We extend some results of the Ito calculus to functionals of the current path of a process to reflect the fact that often the impact of randomness is cumulative and depends on the history of the pr...
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A functional presentation of Pi calculus

Science in China Series F Information Sciences, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the fractional calculus functions of a fractal function

Applied Mathematics-A Journal of Chinese Universities, 2002
The authors introduce a new type of functions by the combination of fractional calculus with fractal functions and they discuss then some properties, in particular, the dimension of this function.
Yao, Kui, Su, Weiyi, Zhou, Songping
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Properties of the Local Functional Calculus

Mathematical Proceedings of the Royal Irish Academy, 2002
The main purpose of the present article is to develop the local functional calculus and to give some applications to local spectral theory. In order to express the results, assume that \(T\in B(X)\) has the single-valued extension property (SVEP) and let \(f\) be a holomorphic function on a neighborhood of a fixed compact subset \(K\) of \(\mathbb{C}\).
Bermúdez, Teresa, González, Manuel, Martinón, Antonio   +2 more
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Contraction of an Adapted Functional Calculus

Journal of Lie Theory, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cotton, P., Dooley, A. H.
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Functional calculus for the Laguerre operator

Mathematische Zeitschrift, 2004
In this paper, the author studies the \(L^p\) boundedness of spectral multipliers associated to the multidimensional Laguerre operator \({\mathcal L}_\alpha\) on the Euclidean space. It is known that the analysis of the Laguerre operator can be interpreted as the analysis of the Ornstein-Uhlenbeck operator acting on polyradial functions.
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An Invitation to the S-functional Calculus

2012
In this paper we give an overview of the S-functional calculus which is based on the Cauchy formula for slice monogenic functions.S uch a functional calculus works for n-tuples of noncommuting operators and it is based on the notion of S-spectrum.Th ere is a commutative version of the S-functional calculus, due to the fact that the Cauchy formula for ...
COLOMBO, FABRIZIO, SABADINI, IRENE MARIA
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Naturality of the Functional Calculus

Bulletin of the London Mathematical Society, 1982
Schanuel, Stephen H., Zame, William R.
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Automated Function Analysis for Calculus

Mathematics in Computer Science, 2018
When teaching function analysis, as part of college calculus, many of the same calculations repeat themselves, over and over again. These calculations are for proving limits (their existance and values, or perhaps the lack thereof), finding minima and maxima, determining continuity and differentiability at specific points, or for ranges, etc.
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