Results 141 to 150 of about 14,701 (175)

Non-commutative functional calculus

Journal d'Analyse Mathématique, 2019
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Agler, Jim, McCarthy, John E.
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Commutative diagrams and tensor calculus in Riemann spaces

Il Nuovo Cimento B, 1993
The basic rules of tensor analysis in non-Euclidean spaces are derived by means of the formalism of commutative diagrams (widely used in many branches of mathematics, especially the theory of categories). We consider here as an example the case of general relativity (although this approach can be applied to gauge theories as well).
MIGNANI, ROBERTO, PESSA E, RESCONI G.
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Non-commutative differential calculus and q-analysis

Journal of Physics A: Mathematical and General, 1992
Summary: Starting from the formulation of covariant non-commutative differential calculus recently given by Wess and Zumino we construct a deformation of the Virasoro algebra, which allow us to identify the variables and differential operators on the quantum plane \(\mathbb{R}^ 2_ q\) to those on the classical plane \(\mathbb{R}^ 2\).
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Calculus over Commutative Algebras: A Concise User Guide

Acta Applicandae Mathematica, 1997
In this paper, I. S. Krasil'shchik presents the basic facts and definitions concerning linear differential operators and jets for modules over a commutative associative unitary \(\kappa\)-algebra. The paper is a well written exposition of the subject with presentation of the Spencer Diff-complex, the de Rham complex and the Spencer jet-complex.
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H∞-calculus for Products of Non-Commuting operators

Mathematische Zeitschrift, 2005
It is shown that the product of two sectorial operators A and B admits a bounded H∞-calculus on a Banach space X provided suitable commutator estimates and Kalton-Weis type assumptions on A and B are satisfied.
Robert Haller-Dintelmann, Matthias Hieber   +1 more
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Commutator Calculus and the Lower Central Series

1982
In 1933, there appeared a 66-page paper by P. Hall with the title A contribution to the theory of groups of prime power order. Its introduction describes it as “the first stages of an attempt to construct a systematic general theory of groups of prime power order.” These groups are also called p-groups, where, if p is not specified as in 3-groups, etc.,
Bruce Chandler, Wilhelm Magnus
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Quasi-shuffle algebras in non-commutative stochastic calculus

2020
This chapter is divided into two parts. The first is largely expository and builds on Karandikar's axiomatisation of It{ } calculus for matrix-valued semimartin-gales. Its aim is to unfold in detail the algebraic structures implied for iterated It{ } and Stratonovich integrals.
Ebrahimi-Fard, Kurusch, Patras, Fr��d��ric   +1 more
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Differential Calculus as Part of Commutative Algebra

2020
This is the central chapter of the book. At the beginning of the chapter, it is shown that the classical definitions of the calculus or of differential geometry, say that of the derivative or tangent vector, are unsatisfactory, being of descriptive nature, and conceptually correct definitions are needed.
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Non-commutative logic II: sequent calculus and phase semantics

Mathematical Structures in Computer Science, 2000
Non-commutative logic, which is a unification of commutative linear logic and cyclic linear logic, is extended to all linear connectives: additives, exponentials and constants. We give two equivalent versions of the sequent calculus (directly with the structure of order varieties, and with their presentations as partial orders), phase semantics and ...
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Linear axiomatics of commutative product-free Lambek calculus

Studia Logica, 1990
Axiomatics which do not employ rules of inference other than the cut rule are given for commutative product-free Lambek calculus in two variants: with and without the empty string. Unlike the former variant, the latter one turns out not to be finitely axiomatizable in that way.
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