5 edition of **Harmonic analysis and discrete potential theory** found in the catalog.

- 257 Want to read
- 30 Currently reading

Published
**1992**
by Plenum Press in New York
.

Written in English

- Harmonic analysis,
- Potential theory (Mathematics)

**Edition Notes**

Statement | edited by Massimo A. Picardello. |

Contributions | Picardello, Massimo A., 1949- |

Classifications | |
---|---|

LC Classifications | QA403 .H22 1992 |

The Physical Object | |

Pagination | viii, 302 p. ; |

Number of Pages | 302 |

ID Numbers | |

Open Library | OL1736358M |

ISBN 10 | 0306442256 |

LC Control Number | 92041405 |

This book is beneficial to students, specialists, and researchers aiming to acquire knowledge of functional analysis. Show less Generalized Functions, Volume 4: Applications of Harmonic Analysis is devoted to two general topics—developments in the theory of linear topological spaces and construction of harmonic analysis in n-dimensional. Potential theory concerns solutions of elliptic partial differential equations (especially Laplace's equation) that are represented by integration against a measure or a more general distribution. Potential theory: discrete-time Markov processes. stochastic-processes notation harmonic-analysis potential-theory. asked Feb 2 '12 at

Initiated by work of Bourgain [7] in ergodic theory, research in this direction has continued to evolve into a standalone subfield of harmonic analysis following the pivotal work of Magyar, Stein. Publisher Summary. This chapter discusses the spherical functions of type χ on a Riemannian symmetric space. The theory of spherical functions (corresponding to the trivial K-type) is a beautiful part of harmonic analysis going back to the work of Gel'fand, Godement (for the abstract setting), and Harish-Chandra (in the concrete setting for a Riemannian symmetric space).

This book is the second of a two volume series. Covering a range of subjects from operator theory and classical harmonic analysis to Banach space theory, this book features fully-refereed, high-quality papers exploring new results and trends in weighted norm inequalities, Schur-Agler class functions, complex analysis, dynamical systems, and dyadic harmonic analysis. Lecture Notes on Introduction to Harmonic Analysis. This note explains the following topics: The Fourier Transform and Tempered Distributions, Interpolation of Operators, The Maximal Function and Calderon-Zygmund Decomposition, Singular Integrals, Riesz Transforms and Spherical Harmonics, The Littlewood-Paley g-function and Multipliers, Sobolev Spaces.

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Harmonic Analysis and Discrete Potential Theory. Editors (view affiliations) Massimo A. Picardello; Book. 37 Citations; Search within book. Harmonic Analysis of Random Walks on the Daisy Library Graph. Jorge Soto-Andrade. Pages *immediately available upon purchase as print book shipments may be delayed due to the COVID crisis.

ebook access is temporary and does not include ownership of the ebook. Only valid for books with an ebook version. ISBN: OCLC Number: Notes: "Proceedings of a international meeting on harmonic analysis and discrete potential theory, held July, in Frascati (Rome), Italy"--Title page verso.

This self-contained book introduces readers to discrete harmonic analysis with an emphasis on the Discrete Fourier Transform and the Fast Fourier Transform on finite groups and finite fields, as well as their noncommutative versions. It also features applications to number theory, graph theory, and representation theory of finite : Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli.

This book provides an introduction to discrete harmonic analysis (DHA) with a view towards applications to digital signal processing. In a nutshell, DHA is used to determine the time-frequency structure of a digitized signal, providing a representation of the signal as a sum of spectral components that can then be analyzed.

Harmonic analysis is a branch of mathematics concerned with Harmonic analysis and discrete potential theory book representation of functions or signals as the superposition of basic waves, and the study of and generalization of the notions of Fourier series and Fourier transforms (i.e.

an extended form of Fourier analysis).In the past two centuries, it has become a vast subject with applications in areas as diverse as number theory. The breakthrough achieved by Tao and Green is attributed to applications of techniques from ergodic theory and harmonic analysis to problems in number theory.

Articles in the present volume are based on talks delivered by plenary speakers at a conference on Harmonic Analysis and Ergodic Theory (DePaul University, Chicago, December 2–4, ). Therefore the book is addressed not only to experts in harmonic analysis, summability of Fourier series and singular integrals, but also in potential theory, symmetric spaces, analysis and partial differential equations on Riemannian manifolds, analysis on graphs, trees, buildings and discrete groups, Lie groups and Lie algebras, and even in.

Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than contrast to real numbers that have the property of varying "smoothly", the objects studied in discrete mathematics – such as integers, graphs, and statements in logic – do not vary smoothly in this way, but have distinct, separated values.

This self-contained text is ideal for graduate students and researchers working in the areas of representation theory, group theory, harmonic analysis and Markov chains.

Its topics range from the basic theory needed for students new to this area, to advanced topics such as the theory of Green's algebras, the complete analysis of the random. This self-contained book introduces readers to discrete harmonic analysis with an emphasis on the Discrete Fourier Transform and the Fast Fourier Transform on finite groups and finite fields, as well as their noncommutative versions.

It also features applications to number theory, graph theory, and representation theory of finite groups. Electronic books: Additional Physical Format: Print version: Harmonic analysis and discrete potential theory. New York: Plenum Press, © (DLC) (OCoLC) Material Type: Document, Internet resource: Document Type: Internet Resource, Computer File: All Authors / Contributors: Massimo A Picardello.

Discrete Harmonic Analysis: Representations, Number Theory, Expanders, and the Fourier Transform (Cambridge Studies in Advanced Mathematics Book ) - Kindle edition by Ceccherini-Silberstein, Tullio, Scarabotti, Fabio, Tolli, Filippo.

Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Discrete Manufacturer: Cambridge University Press. Discrete Harmonic Analysis: Representations, Number Theory, Expanders, and the Fourier Transform | Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli | download | B–OK.

Download books for free. Find books. Such analysis plays a role in many fields and has applications to combinatorics, theoretical computer science, probability theory, statistics and number theory.

Several talks will be devoted to the interplay between the continuous and discrete settings (for example the implementation of log-concavity or curvature methods in the discrete case.

e-books in Harmonic Analysis category Real Harmonic Analysis by Pascal Auscher, Lashi Bandara - ANU eView, This book presents the material covered in graduate lectures delivered in Moving from the classical periodic setting to the real line, then to, nowadays, sets with minimal structures, the theory has reached a high level of applicability.

A HANDBOOK OF HARMONIC ANALYSIS YOSHIHIRO SAWANO Contents Preface 10 Acknowledgement 10 Orientation of this book 10 Notations in this book 13 Part 1.

A bird’s-eye-view of this book 16 1. Introduction 16 Maximal operator on ∂D 16 Conjugate functions on ∂D 22 Alternate version of L1(∂D)-boundedness and Calder´on-Zygmund. on harmonic function theory, we give special thanks to Dan Luecking for helping us to better understand Bergman spaces, to Patrick Ahern who suggested the idea for the proof of Theoremand to Elias Stein and Guido Weiss for their book [16], which contributed greatly to.

On the occasion of the 70th birthday of our friend and colleague Massimo A. Picardello (Università di Roma - Tor Vergata), this conference brings together researchers from around the world focusing on a a variety of interrelated topics.

They comprise, in particular, Geometric and Harmonic Analysis, Potential Theory, Representation Theory and Probability, in discrete and continuous. If you like abstract harmonic analysis, go for "principles of harmonic analysis" by Anton Deitmar.

Harmonic analysis and PDEs by Christ, Kenig and Sadosky is good for specific directions (such as PDEs, probability, curvature and spectral theory). Terence Tao's website is great for lecture notes (all academic resources on his website are great!).

Discrete Oscillation Theory by Ravi P. Agarwal, at al. Publisher: Hindawi Publishing Corporation ISBN/ASIN: ISBN Number of pages: Description: This book is devoted to a rapidly developing branch of the qualitative theory of.

The harmonic analysis properly so-called that arises in the book is described by the authors as coming in two flavors: “Finite commutative harmonic analysis” (dealing with finite abelian groups; often the focus falls on a more general case, i.e.

locally compact abelian groups, but we are in the same ballpark), and “Finite harmonic. Browse Book Reviews. Displaying 1 - 10 of Nonlocal Modeling, Analysis, and Computation.

Qiang Du. Aug Partial Differential Equations. On Hilbert-Type and Hardy-Type Integral Inequalities and Applications. Coding Theory.