HARMONIC, WAVELET AND p-ADIC ANALYSIS
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HARMONIC, WAVELET AND p-ADIC ANALYSIS
edited by N M Chuong (Vietnam Academy of Science & Technology, Vietnam), Yu V Egorov (University of Toulouse, France), A Khrennikov (Vaxjo University, Sweden), Y Meyer (ENS-Cachan, France) & D Mumford (Brown University, USA)
The mutual influence between mathematics and science and technology is becoming more and more widespread with profound connections among them being discovered. In particular, important connections between harmonic analysis, wavelet analysis and p-adic analysis have been found recently.
This volume reports these findings and guides the reader towards the latest areas for further research. It is divided into two parts: harmonic, wavelet and p-adic analysis and p-adic and stochastic analysis.
Contents:
- Wavelet and Harmonic Analysis: Wavelet and
Expectations:
- Wavelets and Expectations: A Different Path to Wavelets (K Gustafson)
- Multiwavelets: Some Approximation-Theoretic Properties, Sampling on the Interval, and Translation Invariance (P R Massopust)
- Wavelet and Harmonic Analysis: Harmonic Analysis:
- On Multiple Solutions for Elliptic Boundary Value Problem with Two Critical Exponents (Yu V Egorov & Y Il'yasov)
- Quantized Algebras of Functions on Affine Hecke Algebras (D N Diep)
- P-Adic and Stochastic Analysis: Over p-Adic Fields:
- Harmonic Analysis Over p-Adic Field I. Some Equations and Singular Integral Operators (N M Chuong et al.)
- p-Adic and Group Valued Probabilities (A Khrennikov)
- P-Adic and Stochastic Analysis: Archimedean Stochastic Analysis:
- Infinite Dimensional Harmonic Analysis from the Viewpoint of White Noise Theory (T Hida)
- Stochastic Integral Equations of Fredholm Type (S Ogawa)
- and other papers
View Full Text (16,300 KB)
Readership: Researchers in analysis and differential equations, mathematical physics, and probability and statistics.
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392pp
Pub. date: May 2007
eISBN 978-981-277-070-7
Price: US$ 140
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