On Functional Calculus For $n$-Ritt operators

Samya Kumar Ray

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arXiv · 1706.05856

On Functional Calculus For $n$-Ritt operators

Samya Kumar Ray

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Abstract

In this paper, we present a new class of operators, which we name to be $n$-Ritt operators. This produces a discrete analogue of $n$-sectorial operators and generalizes the notion of Ritt operators. We develop a $H^\infty$-functional calculus for $n$-Ritt operators and prove an useful transference result. We also generalize the notions of quadratic functional calculus and $n$-$R$-Ritt operator and discuss some examples.

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Samya Kumar Ray. 2017-06-19. On Functional Calculus For $n$-Ritt operators. https://arxiv.org/abs/1706.05856

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