Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Harmonic analysis --- 517.518.5 --- 517.518.4 --- Wavelets (Mathematics) --- Wavelet analysis --- Theory of the Fourier integral --- Trigonometric series --- Harmonic analysis. --- 517.518.4 Trigonometric series --- 517.518.5 Theory of the Fourier integral --- Analysis (Mathematics) --- Functions, Potential --- Potential functions --- Banach algebras --- Calculus --- Mathematical analysis --- Mathematics --- Bessel functions --- Fourier series --- Harmonic functions --- Time-series analysis

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Functional analysis --- Differential equations

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

A paean to twentieth century analysis, this modern text has several important themes and key features which set it apart from others on the subject. A major thread throughout is the unifying influence of the concept of absolute continuity on differentiation and integration. This leads to fundamental results such as the Dieudonné–Grothendieck theorem and other intricate developments dealing with weak convergence of measures. Key Features: * Fascinating historical commentary interwoven into the exposition; * Hundreds of problems from routine to challenging; * Broad mathematical perspectives and material, e.g., in harmonic analysis and probability theory, for independent study projects; * Two significant appendices on functional analysis and Fourier analysis. Key Topics: * In-depth development of measure theory and Lebesgue integration; * Comprehensive treatment of connection between differentiation and integration, as well as complete proofs of state-of-the-art results; * Classical real variables and introduction to the role of Cantor sets, later placed in the modern setting of self-similarity and fractals; * Evolution of the Riesz representation theorem to Radon measures and distribution theory; * Deep results in modern differentiation theory; * Systematic development of weak sequential convergence inspired by theorems of Vitali, Nikodym, and Hahn–Saks; * Thorough treatment of rearrangements and maximal functions; * The relation between surface measure and Hausforff measure; * Complete presentation of Besicovich coverings and differentiation of measures. Integration and Modern Analysis will serve advanced undergraduates and graduate students, as well as professional mathematicians. It may be used in the classroom or self-study.

Mathematics. --- Analysis. --- Functions of a Complex Variable. --- Measure and Integration. --- Global analysis (Mathematics). --- Functions of complex variables. --- Mathématiques --- Analyse globale (Mathématiques) --- Fonctions d'une variable complexe --- Mathematical analysis --- Functions of real variables --- Integration, Functional --- Integrals, Generalized --- Measure theory --- Electronic books. -- local. --- Functions of real variables. --- Integrals, Generalized. --- Integration, Functional. --- Mathematical analysis. --- Measure theory. --- Engineering & Applied Sciences --- Applied Mathematics --- Lebesgue measure --- Measurable sets --- Measure of a set --- 517.1 Mathematical analysis --- Functional integration --- Real variables --- Analysis (Mathematics). --- Algebraic topology --- Measure algebras --- Rings (Algebra) --- Functional analysis --- Calculus, Integral --- Functions of complex variables --- Analysis, Global (Mathematics) --- Differential topology --- Geometry, Algebraic

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Fourier analysis --- Harmonic analysis --- Sampling (Statistics) --- Tomography --- Wavelets (Mathematics) --- 519.65 --- Analysis, Fourier --- Mathematical analysis --- 519.65 Approximation. Interpolation --- Approximation. Interpolation --- Wavelet analysis --- Body section radiography --- Computed tomography --- Computer tomography --- Computerized tomography --- CT (Computed tomography) --- Laminagraphy --- Laminography --- Radiological stratigraphy --- Stratigraphy, Radiological --- Tomographic imaging --- Zonography --- Cross-sectional imaging --- Radiography, Medical --- Geometric tomography --- Random sampling --- Statistics of sampling --- Statistics --- Mathematical statistics --- Analysis (Mathematics) --- Functions, Potential --- Potential functions --- Banach algebras --- Calculus --- Mathematics --- Bessel functions --- Fourier series --- Harmonic functions --- Time-series analysis

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This volume consists of contributions spanning a wide spectrum of harmonic analysis and its applications written by speakers at the February Fourier Talks from 2002 – 2013. Containing cutting-edge results by an impressive array of mathematicians, engineers, and scientists in academia, industry, and government, it will be an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, physics, and engineering. Topics covered include ·        spectral analysis and correlation; ·        radar and communications: design, theory, and applications; ·        sparsity  ·        special topics in harmonic analysis. The February Fourier Talks are held annually at the Norbert Wiener Center for Harmonic Analysis and Applications. Located at the University of Maryland, College Park, the Norbert Wiener Center provides a state-of- the-art research venue for the broad emerging area of mathematical engineering.

Mathematics. --- Abstract Harmonic Analysis. --- Approximations and Expansions. --- Functional Analysis. --- Integral Transforms, Operational Calculus. --- Appl.Mathematics/Computational Methods of Engineering. --- Harmonic analysis. --- Functional analysis. --- Integral Transforms. --- Engineering mathematics. --- Mathématiques --- Analyse harmonique --- Analyse fonctionnelle --- Mathématiques de l'ingénieur --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Operations Research --- Analysis (Mathematics) --- Functions, Potential --- Potential functions --- Approximation theory. --- Integral transforms. --- Operational calculus. --- Applied mathematics. --- Banach algebras --- Calculus --- Mathematical analysis --- Mathematics --- Bessel functions --- Fourier series --- Harmonic functions --- Time-series analysis --- Mathematical and Computational Engineering. --- Transform calculus --- Integral equations --- Transformations (Mathematics) --- Functional calculus --- Calculus of variations --- Functional equations --- Math --- Science --- Engineering --- Engineering analysis --- Operational calculus --- Differential equations --- Electric circuits --- Theory of approximation --- Functional analysis --- Functions --- Polynomials --- Chebyshev systems