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Free Random Variables

Free Distributions Dictated by the Semicircular Law

Medium: Buch
ISBN: 978-1-041-10346-2
Verlag: Chapman and Hall/CRC
Erscheinungstermin: 13.11.2025
Lieferfrist: bis zu 10 Tage

Free Random Variables: Free Distributions Dictated by the Semicircular Law is particularly concerned with operators which are not self-adjoint, but whose free distributions are dictated by the semicircular law. The book covers operator-theoretic properties and free-distributional data of such operators and investigates operator-algebraic structures induced by those operators.

Features

- Includes multiple examples and applications

- Suitable for postgraduates and researchers


Produkteigenschaften


  • Artikelnummer: 9781041103462
  • Medium: Buch
  • ISBN: 978-1-041-10346-2
  • Verlag: Chapman and Hall/CRC
  • Erscheinungstermin: 13.11.2025
  • Sprache(n): Englisch
  • Auflage: 1. Auflage 2025
  • Serie: Chapman & Hall/CRC Monographs and Research Notes in Mathematics
  • Produktform: Gebunden, HC gerader Rücken kaschiert
  • Gewicht: 373 g
  • Seiten: 132
  • Format (B x H x T): 161 x 240 x 12 mm
  • Ausgabetyp: Kein, Unbekannt
Autoren/Hrsg.

Autoren

I Constructive Analysis of Free Random Variables Followed by the Semicircular Law 1 Introduction 2 Preliminaries 3 Free Distributions of Multi Semicircular Elements 4 A C¿-Probability Space Generated by |N|-Many Semicircular Elements 5 Free-Distributional Data on X¿ 6 Certain Free-Isomorphisms on X¿ 7 Free Random Variables followed by the Semicircular Law 8 Free Random Variables Followed by the Circular Law 9 Free Random Variables Followed by Free Poisson Distributions 10 Discussions 11 A Structure Theorem of X¿ 12 Certain Banach-Space Operators Acting on X¿ 13 A Group-Dynamical System (Z, X¿ , ¿) 14 More About Free-Distributional Data on X [¿] II Free Random Variables followed by the Semicircular Law 15 Free Random Variables Followed By The Semicircular Law 16 On the Copies of the C¿-Probability Space X¿ 17 Finitely-Many Free Random Variables Governed by The
Semicircular Law 18 Generalization 19 Applications Bibliography