Abstract
The aim of the present chapter is to study the Lp-counter part of the L2-theory that was developed in Chapters 5 and 6. This will be done by studying the Harish-Chandra transforms of functions in a certain family of spaces ℓP(G//K), 0 < p < 2. For p = 2, ℓ2 is merely the space ℓ(G//K), while for p = 1, we get the L1-analogue of ℓ(G//K). The end result will be a complete characterization of the algebra of transforms of the spaces.
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© 1988 Springer-Verlag Berlin Heidelberg
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Gangolli, R., Varadarajan, V.S. (1988). Lp-Theory of Harish-Chandra Transform. Fourier Analysis on the Spaces ℓP(G//K). In: Harmonic Analysis of Spherical Functions on Real Reductive Groups. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 101. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-72956-0_7
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DOI: https://doi.org/10.1007/978-3-642-72956-0_7
Publisher Name: Springer, Berlin, Heidelberg
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