This volume contains the proceedings of the AMS Special Session on Harmonic Analysis and Its Applications held March 29-30, 2014, at the University of Maryland, Baltimore County, Baltimore, MD. It provides an in depth look at the many directions taken by experts in Harmonic Analysis and related areas. The papers cover topics such as frame theory, Gabor analysis, interpolation and Besov spaces on compact manifolds, Cuntz-Krieger algebras, reproducing kernel spaces, solenoids, hypergeometric shift operators and analysis on infinite dimensional groups. Expositions are by leading researchers in the field, both young and established. The papers consist of new results or new approaches to solutions, and at the same time provide an introduction into the respective subjects.
MR3513873 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 ...
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。
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, ...
Lp Harmonic Analysis on SL (2, R)
Explores 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.
Wavelets 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.
E. 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.
Mathematical Surveys and Monographs
Convergence 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.
The Scope and History of Commutative and Noncommutative Harmonic Analysis