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$𝜉$-radial processes and random Fourier series

About this Title

Michael B. Marcus

Publication: Memoirs of the American Mathematical Society
Publication Year: 1987; Volume 68, Number 368
ISBNs: 978-0-8218-2432-0 (print); 978-1-4704-0784-1 (online)
DOI: https://doi.org/10.1090/memo/0368
MathSciNet review: 897272
MSC: Primary 60G10; Secondary 42A61, 60E07, 60G15, 60G17

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Table of Contents

Chapters

  • 1. Introduction
  • 2. Representing $\xi$-radial processes
  • 3. Necessary conditions for continuity
  • 4. Sufficient conditions for continuity
  • 5. Processes for which the Levy transforms or the logarithms of the characteristic functions are regularly varying with index $1 < p < 2$
  • 6. Processes for which the Levy transforms or the logarithms of the characteristic functions are regularly varying with index 1 or 2
  • 7. Suprema of $\xi$-radial processes and random Fourier series