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On some approaches to the spectral excess theorem for nonregular graphs

✍ Scribed by Fiol, M.A.

Book ID: 120297005
Publisher: Elsevier Science
Year: 2013
Tongue: English
Weight: 160 KB
Volume: 120
Category: Article
ISSN: 0097-3165
DOI: 10.1016/j.jcta.2013.03.010

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## Abstract Let 1 ≤ __p__ < ∞ and let __T__ be an ergodic measure‐preserving transformation of the finite measure space (__X__, __μ__). The classical __L^p^__ ergodic theorem of von Neumann asserts that for any __f__ ϵ __L^p^__ (__X__, __μ__), equation image When __X__ = 𝕊^__n__^ (the unit spher