Operator-Theoretic Approaches to Arithmetic Functional Analysis

Name: Operator-Theoretic Approaches to Arithmetic Functional Analysis
Price: 602.75 AUD
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Prime Numbers, Arithmetic Functions, Krein-Space Operators Under Free-Probabilistic Settings

By: Ilwoo Cho

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Hardcover | 23 February 2027

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Format
Hardcover

Dimensions(cm)
23.4 x 15.6

Hardcover

$602.75

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Available: 23rd February 2027

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This monograph explores the relationships and connections among number theory, operator theory, operator algebra theory, and representation theory within free-probabilistic frameworks. Arithmetic functions are examined as Krein-space operators under suitable representation, extending to free probability through the determination of point-evaluation linear functionals for primes. Graduate students and researchers with interests in the aforementioned mathematical fields or related applied scientific areas will discover novel approaches to understanding these topics. Understanding the images of arithmetic functions at primes as forms of matrices or operators acting Krein spaces will be of special interest to readers looking for new methods to analyse them mathematically.

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