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# Harmonic analysis : smooth and non-smooth

Author: Palle E T Jørgensen; Conference Board of the Mathematical Sciences.; National Science Foundation (U.S.) Providence, Rhode Island : Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, [2018] Regional conference series in mathematics, no. 128. Print book : EnglishView all editions and formats In this book on smooth and non-smooth harmonic analysis, the notion of dual variables is adapted to fractals. In addition to harmonic analysis via Fourier duality, the author also covers  Read more... (not yet rated) 0 with reviews - Be the first.

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Document Type: Book Palle E T Jørgensen; Conference Board of the Mathematical Sciences.; National Science Foundation (U.S.) Find more information about: Palle E T Jørgensen 9781470448806 1470448807 1048657766 "Support from the National Science Foundation.""NSF-CBMS Regional Conference in the Mathematical Sciences on Harmonic Analysis: Smooth and Non-Smooth, held at Iowa State University, June 4-8, 2018." xi, 266 pages : illustrations ; 26 cm. Introduction. Smooth vs the non-smooth categoriesSpectral pair analysis for IFSsHarmonic analyses on fractals, with an emphasis on iterated function systems (IFS) measuresFour kinds of harmonic analysisHarmonic analysis via representations of the Cuntz relations$\textit{ Positive definite functions }$ and kernel analysisRepresentations of $\textit{Lie groups}$. Non-commutative harmonic analysisBibliographyIndex. Regional conference series in mathematics, no. 128. Palle E.T. Jorgensen.

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