Cantitate/Preț
Produs
Total produse
Vezi coșul
A Basis Theory Primer: Expanded Edition de Christopher Heil

A Basis Theory Primer: Expanded Edition: Applied and Numerical Harmonic Analysis

Autor Christopher Heil
en Limba Engleză Hardback – 11 noi 2010
The classical subject of bases in Banach spaces has taken on a new life in the modern development of applied harmonic analysis. This textbook is a self-contained introduction to the abstract theory of bases and redundant frame expansions and their use in both applied and classical harmonic analysis. The four parts of the text take the reader from classical functional analysis and basis theory to modern time-frequency and wavelet theory. Extensive exercises complement the text and provide opportunities for learning-by-doing, making the text suitable for graduate-level courses. The self-contained presentation with clear proofs is accessible to graduate students, pure and applied mathematicians, and engineers interested in the mathematical underpinnings of applications. No other text develops the ties between classical basis theory and its modern uses in applied harmonic analysis.
Citește tot Restrânge

Din seria Applied and Numerical Harmonic Analysis

  • Special Functions of Mathematical (Geo-)Physics
    Preț: 31086 lei
  • 18% Metrics, Norms, Inner Products, and Operator Theory
    Preț: 44854 lei
  • 20% Sampling Theory, a Renaissance: Compressive Sensing and Other Developments
    Preț: 65375 lei
  • 14% Distributions in the Physical and Engineering Sciences, Volume 1: Distributional and Fractal Calculus, Integral Transforms and Wavelets
    Preț: 33362 lei
  • 17% Introduction to Partial Differential Equations with MATLAB
    Preț: 43175 lei
  • 20% A Software-Defined GPS and Galileo Receiver: A Single-Frequency Approach
    Preț: 43380 lei
  • Excursions in Harmonic Analysis, Volume 4: The February Fourier Talks at the Norbert Wiener Center
    Preț: 40082 lei
  • 15% A Mathematical Introduction to Compressive Sensing
    Preț: 53433 lei
  • 15% Excursions in Harmonic Analysis, Volume 1: The February Fourier Talks at the Norbert Wiener Center
    Preț: 63525 lei
  • 18% Gabor Analysis and Algorithms: Theory and Applications
    Preț: 98515 lei
  • 15% Sampling, Wavelets, and Tomography
    Preț: 62936 lei
  • 15% Lectures on Constructive Approximation: Fourier, Spline, and Wavelet Methods on the Real Line, the Sphere, and the Ball
    Preț: 51765 lei
  • 15% Time-Frequency Representations
    Preț: 62811 lei
  • 15% Excursions in Harmonic Analysis, Volume 2: The February Fourier Talks at the Norbert Wiener Center
    Preț: 63525 lei
  • Distributions in the Physical and Engineering Sciences: Distributional and Fractal Calculus, Integral Transforms and Wavelets
    Preț: 38607 lei
  • 15% Stochastic Models, Information Theory, and Lie Groups, Volume 2: Analytic Methods and Modern Applications
    Preț: 64302 lei
  • 15% Groupoid Metrization Theory: With Applications to Analysis on Quasi-Metric Spaces and Functional Analysis
    Preț: 63762 lei
  • Methods of Applied Mathematics with a MATLAB Overview
    Preț: 40161 lei
  • 18% Wavelet Transforms and Time-Frequency Signal Analysis
    Preț: 92966 lei
  • 24% Wavelet Analysis and Applications
    Preț: 82970 lei
  • 15% Computational Signal Processing with Wavelets
    Preț: 63017 lei
  • 15% Heat Kernels for Elliptic and Sub-elliptic Operators: Methods and Techniques
    Preț: 63602 lei
  • 15% The Fourier Transform in Biomedical Engineering
    Preț: 61857 lei
  • Methods of Applied Fourier Analysis
    Preț: 38701 lei
  • 20% Duration and Bandwidth Limiting: Prolate Functions, Sampling, and Applications
    Preț: 56984 lei
  • Wavelet Theory and Harmonic Analysis in Applied Sciences
    Preț: 38105 lei
  • Geometry of Digital Spaces
    Preț: 37672 lei
  • 18% Finite Frames: Theory and Applications
    Preț: 108953 lei
  • 20% The Evolution of Applied Harmonic Analysis
    Preț: 56730 lei
  • 18% Foundations of Time-Frequency Analysis
    Preț: 97782 lei
  • 20% Variable Lebesgue Spaces: Foundations and Harmonic Analysis
    Preț: 57375 lei
  • Multiscale Potential Theory: With Applications to Geoscience
    Preț: 39522 lei
  • Fourier Analysis and Convexity
    Preț: 37634 lei
  • 5% Discrete Tomography: Foundations, Algorithms, and Applications
    Preț: 113514 lei
  • Mathematics for Multimedia
    Preț: 38946 lei
  • Wavelets and Signal Processing
    Preț: 38681 lei
  • 15% Advances in Gabor Analysis
    Preț: 62603 lei
  • 19% Shearlets: Multiscale Analysis for Multivariate Data
    Preț: 57581 lei
  • 15% Modern Sampling Theory: Mathematics and Applications
    Preț: 68355 lei
  • 20% Selected Unsolved Problems in Coding Theory
    Preț: 32517 lei
  • Analysis of Divergence: Control and Management of Divergent Processes
    Preț: 39353 lei
  • 15% Wavelet Theory and Harmonic Analysis in Applied Sciences
    Preț: 52161 lei

Preț: 72428 lei

Preț vechi: 88327 lei
-18% Nou

Puncte Express: 1086
Preț estimativ în valută:
13863€ • 14448$ • 11540£

Carte tipărită la comandă

Livrare economică 06-20 ianuarie 25

 Adaugă în coș

Wish list
Gift list
Am citit!
Adaugă în listă
Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9780817646868
ISBN-10: 0817646868
Pagini: 537
Ilustrații: XXV, 537 p. 42 illus.
Dimensiuni: 155 x 235 x 43 mm
Greutate: 0.96 kg
Ediția:2011
Editura: Birkhäuser Boston
Colecția Birkhäuser
Seria Applied and Numerical Harmonic Analysis

Locul publicării:Boston, MA, United States

Public țintă

Graduate

Cuprins

ANHA Series Preface.- Preface.- General Notation.- Part I. A Primer on Functional Analysis .- Banach Spaces and Operator Theory.- Functional Analysis.- Part II. Bases and Frames.- Unconditional Convergence of Series in Banach and Hilbert Spaces.- Bases in Banach Spaces.- Biorthogonality, Minimality, and More About Bases.- Unconditional Bases in Banach Spaces.- Bessel Sequences and Bases in Hilbert Spaces.- Frames in Hilbert Spaces.- Part III. Bases and Frames in Applied Harmonic Analysis.- The Fourier Transform on the Real Line.- Sampling, Weighted Exponentials, and Translations.- Gabor Bases and Frames.- Wavelet Bases and Frames.- Part IV. Fourier Series.- Fourier Series.- Basic Properties of Fourier Series.- Part V. Appendices.- Lebesgue Measure and Integration.- Compact and Hilbert–Schmidt Operators.- Hints for Exercises.- Index of Symbols.- References.- Index.

Recenzii

From the reviews:
“The present book gives a wide perspective, preparing the functional analytic ground … and also discussing in great detail the relevant features of bases in Banach spaces, unconditional bases, frames, and their role in the context of Applied Harmonic Analysis. … the book is ideally suited for self-study, but also as a text book from which different courses can be compiled. The presentation is very reader-friendly and provides all necessary details.” (H. G. Feichtinger, Monatshefte für Mathematik, Vol. 166 (3-4), June, 2012)
This book is a very comprehensive work dedicated to introducing graduate students or researchers in pure and applied mathematics as well as engineering to the foundations of basis expansions and to essential techniques for applications. … The exercises contained in the book make it a good fit for graduate courses on selected topics in functional analysis and applications.” (Bernhard Bodmann, Zentralblatt MATH, Vol. 1227, 2012)
“The amount of mathematics treated in the book is impressive. … a handbook for a certain group of mathematicians to learn about the main tools of the theory of bases and frames for Banach and Hilbert spaces. … Personally I like this book. It is one of those very few mathematical books that I can read without additional difficulties arising from my limited capacity to remember facts and definitions.” (Kazaros Kazarian, Mathematical Reviews, Issue 2012 b)

Textul de pe ultima copertă

The classical subject of bases in Banach spaces has taken on a new life in the modern development of applied harmonic analysis. This textbook is a self-contained introduction to the abstract theory of bases and redundant frame expansions and its use in both applied and classical harmonic analysis.
The four parts of the text take the reader from classical functional analysis and basis theory to modern time-frequency and wavelet theory.
* Part I develops the functional analysis that underlies most of the concepts presented in the later parts of the text.
* Part II presents the abstract theory of bases and frames in Banach and Hilbert spaces, including the classical topics of convergence, Schauder bases, biorthogonal systems, and unconditional bases, followed by the more recent topics of Riesz bases and frames in Hilbert spaces.
* Part III relates bases and frames to applied harmonic analysis, including sampling theory, Gabor analysis, and wavelet theory.
* Part IV deals with classical harmonic analysis and Fourier series, emphasizing the role played by bases, which is a different viewpoint from that taken in most discussions of Fourier series.
Key features:
* Self-contained presentation with clear proofs accessible to graduate students, pure and applied mathematicians, and engineers interested in the mathematical underpinnings of applications.
* Extensive exercises complement the text and provide opportunities for learning-by-doing, making the text suitable for graduate-level courses; hints for selected exercises are included at the end of the book.
* A separate solutions manual is available for instructors upon request at: www.birkhauser-science.com/978-0-8176-4686-8/.
* No other text develops the ties between classical basis theory and its modern uses in applied harmonic analysis.
A Basis Theory Primer is suitable for independent study or as the basis for a graduate-level course. Instructors have several options for building a course around the text depending on the level and background of their students.

Caracteristici

Unique book in the literature A clear and accessible text with detailed explanations of abstract material Suitable for classroom use or independent study Covers abstract material with a high degree of relevance to a wide range of modern topics Written for a broad audience of graduate students, pure and applied mathematicians as well as engineers Includes extensive exercises at the end of each section Separate solutions manual available for instructors upon request Includes supplementary material: sn.pub/extras Request lecturer material: sn.pub/lecturer-material