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Frames and Coorbit Theory on Homogeneous Spaces with a Special Guidance on the Sphere

✍ Scribed by Stephan Dahlke; Gabriele Steidl; Gerd Teschke


Publisher
SP Birkhäuser Verlag Boston
Year
2007
Tongue
English
Weight
710 KB
Volume
13
Category
Article
ISSN
1069-5869

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On a new form of the ergodic theorem for
✍ Liangpan Li; Lan Tang 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 133 KB 👁 1 views

## 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