Last edited by Dile
Thursday, July 23, 2020 | History

8 edition of Harmonic, Wavelet and P-adic Analysis found in the catalog.

# Harmonic, Wavelet and P-adic Analysis

Written in English

Subjects:
• Algebraic number theory,
• Science,
• Mathematics,
• Science/Mathematics,
• Mathematical Analysis,
• Mathematical Physics,
• Probability & Statistics - General,
• Science / Mathematics,
• General

• Edition Notes

The Physical Object ID Numbers Contributions N. M. Chuong (Editor), Yu V. Egorov (Editor), A. Khrennikov (Editor), Y. Meyer (Editor), D. Mumford (Editor) Format Hardcover Number of Pages 392 Open Library OL13169899M ISBN 10 981270549X ISBN 10 9789812705495

Documenta Math. p-Adic Fourier Theory P. Schneider, J. Teitelbaum Received: July 2, Communicated by Ulf Rehmann Abstract. In this paper we generalize work of Amice and Lazard. Director of The Norbert Wiener Center for Harmonic Analysis and Applications; Series editor of the Applied and Numerical Harmonic Analysis book series, published by Birkhauser Executive editor and founding editor-in-chief of the Journal of Fourier Analysis and Applications, published by Birkhauser PhD Students (see below) MA Students (see below).

This book contains an expanded version of lectures delivered by the authors at the CRM in Spring of It contains four series of lectures. The first one is an application of Harmonic analysis and the Heisenberg group to understand human vision. Harmonic, Wavelet and P-Adic Analysis. Introduction to Fourier Analysis by Nati Linial. This lecture note describes the following topics: Classical Fourier Analysis, Convergence theorems, Approximation Theory, Harmonic Analysis on the Cube and Parseval’s Identity, Applications of Harmonic Analysis, Isoperimetric Problems, The Brunn-Minkowski Theorem and Influences of Boolean Variables, Influence of variables on boolean functions.

P-adic numbers serve as the simplest ultrametric model for the tree-like structures arising in various physical and biological phenomena. Recently p-adic dynamical equations started to be applied to geophysics, to model propagation of fluids (oil, water, and oil-in-water and water-in-oil emulsion) in capillary networks in porous random media. In particular, a p-adic analog of the Navier&ndash Cited by: 1. An Introduction to Wavelets. This note covers the following topics: A Motivation for Wavelets, Wavelets and the Wavelet Transform, Comparision of the Fourier and Wavelet Transforms, Examples. covered includes: Fourier series, Topological groups, Commutative groups, The Fourier transform, Banach algebras, p-Adic numbers, r-Adic integers and.

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Harmonic, Wavelet and P-adic Analysis 1st Edition by Yu V Egorov (Editor), David Mumford (Editor), Yves Meyer (Editor), & ISBN ISBN X. Why is ISBN important.

ISBN. This bar-code number lets you verify that you're getting exactly the right version or edition of a book. The digit and digit formats both work. Format: Hardcover. In particular, important connections between harmonic analysis, wavelet analysis Wavelet and P-adic Analysis book 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.

Sample. Wavelet and harmonic analysis --Wavelet and expectations --Harmonic analysis --P-adic and stochastic analysis --Over p-adic field --Archimedean stochastic analysis. 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.

Trending News. + Topics. Trusted Guide. Types: Business, Finance, Health. New orthonormal basis of eigenfunctions for the Vladimirov operator of p-adic fractional derivation is constructed.

The map of p-adic numbers onto real numbers (p-adic change of variables) is considered. This map (for p=2) provides an equivalence between the constructed basis of eigenfunctions of the Vladimirov operator and the wavelet basis in L^2(R) generated from the Haar wavelet. This Cited by: Aimed at graduate students and researchers interested in harmonic analysis over local fields, the topics covered in this book include pseudodifferential operators of principal type and of variable order, semilinear degenerate pseudodifferential boundary value problems (BVPs), non-classical pseudodifferential BVPs, wavelets and Hardy spaces, wavelet integral operators, and wavelet.

Abstract: In this contribution we discuss the problems of the nonlocal analysis of bifurcations for equation of variational form. This includes the calculation of the bifurcation values λ i, the construction of the branches of solutions on (λ i, λ i+1), and the study of their asymptotic behavior at the bifurcations λ → λ present a survey of results where these problems are solved.

Harmonic, wavelet and p-adic analysis. World Scientific Publishing Company. Chuong, Yu V Egorov, A Khrennikov, A search query can be a title of the book, a name of the author, ISBN or anything else.

Read more about ZAlerts. Author / ISBN / Topis / MD5 / Any search query. Create. The papers in this volume present both expository and research articles on these and related topics, presenting a broad picture of the current state of the art in $$p$$-adic harmonic analysis.

The concepts are liberally illustrated with examples, usually appropriate for an upper-level graduate student in representation theory or number theory.

This new edition contains a new chapter on p-adic and adelic groups, as well as a complementary section on direct and projective limits. Many of the supporting proofs have been revised and refined.

The book is an excellent resource for graduate students who wish to learn and understand harmonic analysis and for researchers seeking to apply it. Such multiresolution structures also played a key role in our work 20 *This paper is an elaborationof the lecture ‘Wavelets and Expectations’by the author a t the International Summer School on Harmonic, Wavelet and p-adic Analysis Quy Nhon, Vietnam, Junep-adic numbers play a very important role in modern number theory, algebraic geometry and representation theory.

Lately p-adic numbers have attracted a great deal of attention in modern theoretical physics as a promising new approach for describing the non-Archimedean geometry of space-time at small is the first book to deal with applications of p-adic numbers in theoretical. Get this from a library.

Harmonic, wavelet and p-adic analysis. [N M Chuong;] -- 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.

This monograph offers a self-contained introduction to pseudodifferential operators and wavelets over real and p-adic fields. Aimed at graduate students and researchers interested in harmonic. The mother wavelet ψ(p) 0,0,1(ξ) is supported on value in this subset is 1 everywhere except on S 1, i.e., p-adic numbers with norm exactly equal to open set S 1, is a union of open sets labelled by the value of ξ 0 in Eq.

(4), where it assumes the values ωjξ0 p (ωp is a primitive p-th root of unity).Cited by: 3. $\nu$ is defined as the p-adic valuation in Khrennikov, Nilson, P-adic deterministic and random dynamics (for example) and $|\cdot|_p$ is defined as the p-adic valuation in Khrennikov, P-adic and group valued probabilities, in Harmonic, wavelet and p-adic analysis (for example).

Question: Is there a preferred definition for p-adic valuation. In recent years, there is an increasing interest in the study of harmonic analysis and wavelet analysis over the p-adic fields (see e.g.

[1,9,10,13,20,21, 23, 24]). One of the important operators. The theory of p-adic analytic functions in domains other than simple disks is not very well known yet, although such kind of functions happens to intervene in questions linked to p-adic functional analysis, number theory, and others.Fernando Q.

Gouvêa, p-adic Numbers: An Introduction, Springer, 2nd Edition, page In this book the Russian expertise in the field of the design of precise vacuum mechanics is summarized.

A wide range of physical applications of mechanism design in electronic, optical-electronic, chemical, and aerospace industries is presented in a comprehensible way. Topics treated include the method of microparticles flow regulation and its determination in vacuum equipment and mechanisms.

Abstract. Sets Ω in d-dimensional Euclidean space are constructed with the property that the inverse Fourier transform of the characteristic function 1 Ω of the set Ω is a single dyadic orthonormal wavelet.

The iterative construction is characterized by its generality, its computational implementation, and its simplicity. The construction is transported to the case of locally compact Cited by: 5.Harmonic analysis and representation theory of p-adic reductive groups updated on 19th May These are the notes of my spring class at the University of Chicago on the represen-tation theory of p-adic groups.

These notes will keep updating as the lectures progress. All comments are very Size: KB.Harmonic analysis on the p-adic numbers Jordan Bell @ Department of Mathematics, University of Toronto Ma 1 p-adic numbers 4Gerald B.

Folland, A Course in Abstract Harmonic Analysis, p. 92, Theorem 5Karl H. Hofmann and Sidney A. Morris.