Integrability of Free Noncommutative Functions

Dmitry Kaliuzhnyi-Verbovetskyi; Leonard Stevenson; Victor Vinnikov

Integrability of Free Noncommutative Functions

Dmitry Kaliuzhnyi-Verbovetskyi, Leonard Stevenson, Victor Vinnikov

Department of Mathematics

Research output: Working paper/Preprint › Preprint

Abstract

In [6], an algebraic construction is used to develop a difference-differential calculus for free noncommutative functions. This paper gives necessary and sufficient conditions for higher order free noncommutative functions to have an antiderivative.

Original language	English
State	Published - 19 May 2020

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title = "Integrability of Free Noncommutative Functions",

abstract = "In [6], an algebraic construction is used to develop a difference-differential calculus for free noncommutative functions. This paper gives necessary and sufficient conditions for higher order free noncommutative functions to have an antiderivative.",

author = "Dmitry Kaliuzhnyi-Verbovetskyi and Leonard Stevenson and Victor Vinnikov",

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T1 - Integrability of Free Noncommutative Functions

AU - Kaliuzhnyi-Verbovetskyi, Dmitry

AU - Stevenson, Leonard

AU - Vinnikov, Victor

PY - 2020/5/19

Y1 - 2020/5/19

N2 - In [6], an algebraic construction is used to develop a difference-differential calculus for free noncommutative functions. This paper gives necessary and sufficient conditions for higher order free noncommutative functions to have an antiderivative.

AB - In [6], an algebraic construction is used to develop a difference-differential calculus for free noncommutative functions. This paper gives necessary and sufficient conditions for higher order free noncommutative functions to have an antiderivative.

M3 - Preprint

BT - Integrability of Free Noncommutative Functions

ER -

Integrability of Free Noncommutative Functions

Abstract

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