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.
| ISBN: | 9781041371007 |
| Publication date: | 23rd February 2027 |
| Author: | Ilwoo Cho |
| Publisher: | Chapman & Hall/CRC an imprint of CRC Press |
| Format: | Hardback |
| Pagination: | 144 pages |
| Series: | Chapman & Hall/CRC Monographs and Research Notes in Mathematics |
| Genres: |
Functional analysis and transforms Probability and statistics |
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.
Operator-Theoretic Approaches to Arithmetic Functional Analysis features in the following genres: Functional analysis and transforms, Probability and statistics
Hardback. £169.19, down from the £187.99 cover price. Not Available.
Operator-Theoretic Approaches to Arithmetic Functional Analysis was written by Ilwoo Cho and published by Chapman & Hall/CRC an imprint of CRC Press
Operator-Theoretic Approaches to Arithmetic Functional Analysis has 144 pages
Yes it is part of Chapman & Hall/CRC Monographs and Research Notes in Mathematics series
£169.19, reduced from £187.99. Not Available.