Books of Harmonic analysis
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Harmonic Analysis: Smooth and Non-smooth
By Palle E.T. JorgensenMR3513873 Palle E. T. Jorgensen, Karl-Hermann Neeb, and Gestur Olafsson, ́ Reflection positivity on real intervals, Semigroup Forum 96 (2018), no. 1, 31–48. MR3750345 Palle E. T. Jorgensen and Gestur Olafsson, ́ Unitary representations ...
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键盘和声学教程: 古典音乐和声体系的理论
By 凯斯特莱尔本书共有二十八个书写键盘练习,六个分析练习。根据和声学的功能原则与声部的运动原则以及经典音乐作品的实践,作者对练习中的和弦序进以及声部进行都提出了最佳方案。
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An Introduction to Harmonic Analysis
By Y.·卡茨纳尔森, Yitzhak Katznelson本书从经典傅里叶分析的清晰表述入手, 旨在用一个具体的构架展示调和分析中心思想. 作者在确立这些思想之后, 转向扩展和分析, 使之远远超越圆群的范围, ...
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Lp Harmonic Analysis on SL (2, R)
By William H. BarkerLp Harmonic Analysis on SL (2, R)
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Noncommutative Harmonic Analysis
By Michael E. TaylorExplores some basic roles of Lie groups in linear analysis, with particular emphasis on the generalizations of the Fourier transform and the study of partial differential equations.
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Radon Transforms, Geometry, and Wavelets: AMS Special Session, January 7-8, 2007, New Orleans, Louisiana : Workshop, January 4-5, 2007, Baton...
By Convex Geometry Special Session on Radon TransformsWavelets through a looking glass. Applied and Numerical Harmonic Analysis. Birkhäuser Boston Inc., Boston, MA, 2002. The world of the spectrum. Lawrence Baggett, Palle Jorgensen, Kathy Merrill, and Judith Packer.
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Trends in Harmonic Analysis and Its Applications
By Gestur Ólafsson, Azita Mayeli, Jens G. ChristensenThen the representations of OA associated to these monic systems are equivalent if and only if the measures m and m are equivalent, ... Palle E. T. Jorgensen, and Vasyl Ostrovsky ̆ı, Representation theory and numerical AF-invariants.
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The Ultimate Challenge: The 3x+1 Problem
By Jeffrey C. LagariasE. Berlekamp, J. H. Conway and R. K. Guy, Winning ways for your mathematical plays. Volumes 1–4. ... 287–295 in: Paul Halmos: Celebrating 50 Years of Mathematics (J. H. Ewing and F. W. Gehring, Eds.), Springer-Verlag: New York 1991.
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Mathematical Surveys and Monographs
Mathematical Surveys and Monographs
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Wavelet Theory
By Igor Iakovlevič Novikov, Vladimir Iu'revich Protasov, Vladimir I͡Urʹevich ProtasovConvergence of wavelet expansions 1.8. Wavelet frames Chapter 2. Multivariate Wavelets 2.1. Separable MRA 2.2. Matrix dilation 2.3. Nonseparable MRAs 2.4. Construction of refinable functions 2.5. Conditions of biorthogonality 2.6.
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The Scope and History of Commutative and Noncommutative Harmonic Analysis
By George Whitelaw MackeyThe Scope and History of Commutative and Noncommutative Harmonic Analysis
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Harmonic Analysis, the Trace Formula, and Shimura Varieties: Proceedings of the Clay Mathematics Institute, 2003 Summer School, the Fields Institute,...
By Clay Mathematics Institute. Summer SchoolLanglands program proposes fundamental relations that tie arithmetic information from number theory and algebraic geometry with analytic information from harmonic analysis and group representations.
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Harmonic Analysis: A Comprehensive Course in Analysis, Part 3
By Barry Simon... Szegő's Theorem and Its Descendants: Spectral Theory for L2 Perturbations of Orthogonal Polynomials, Princeton University Press, Princeton, NJ, 2011. (Cited on 127,197,293,295.) B. Simon and R. Hoegh-Krohn, Hypercontractive semi-groups ...
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Modern Methods in Operator Theory and Harmonic Analysis: OTHA 2018, Rostov-On-Don, Russia, April 22-27, Selected, Revised and Extended Contributions
By Alexey KarapetyantsThis proceedings volume gathers selected, peer-reviewed papers from the "Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis VIII" (OTHA 2018) conference, which was held in Rostov-on-Don, Russia, in April 2018 ...