Foundations of Free Noncommutative Function Theory
Dmitry S. Kaliuzhnyi-Verbovetskyi, Victor Vinnikov
TL;DR
This paper aims to establish a comprehensive and systematic foundation for the theory of functions involving free noncommuting variables, expanding the mathematical understanding of noncommutative analysis.
Contribution
It introduces a general framework for free noncommutative function theory, filling a gap in the mathematical literature.
Findings
Develops a systematic approach to noncommutative functions
Establishes foundational principles for free noncommutative analysis
Provides a basis for future research in noncommutative function theory
Abstract
The goal of this work is to develop, in a systematic way and in a full natural generality, the foundations of a theory of functions of (free) noncommuting variables.
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Taxonomy
TopicsComputability, Logic, AI Algorithms · advanced mathematical theories · Mathematical and Theoretical Analysis