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Spectral estimates of Cauchy's transform inL2(Ω)

✍ Scribed by J. Arazy; D. Khavinson

Publisher
SP Birkhäuser Verlag Basel
Year
1992
Tongue
English
Weight
623 KB
Volume
15
Category
Article
ISSN
0378-620X

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On the Natural Representation of S(Ω) into L2(P(Ω)): Discrete Harmonics and Fourier Transform
✍ José Manuel Marco; Javier Parcet 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 232 KB

Let O denote a nonempty finite set. Let SðOÞ denote the symmetric group on O and let PðOÞ denote the power set of O: Let r : SðOÞ ! UðL 2 ðPðOÞÞÞ be the left unitary representation of SðOÞ associated with its natural action on PðOÞ: We consider the algebra consisting of those endomorphisms of L 2 ðP