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Analytic functions. --- Harmonic analysis. --- Integrals, Logarithmic.
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The theme of this unique work, the logarithmic integral, lies athwart much of twentieth century analysis. It is a thread connecting many apparently separate parts of the subject, and so is a natural point at which to begin a serious study of real and complex analysis. Professor Koosis' aim is to show how, from simple ideas, one can build up an investigation which explains and clarifies many different, seemingly unrelated problems; to show, in effect, how mathematics grows. The presentation is straightforward, so this, the first of two volumes, is self-contained, but more importantly, by following the theme, Professor Koosis has produced a work that can be read as a whole. He has brought together here many results, some unpublished, some new, and some available only in inaccessible journals.
Analytic functions. --- Harmonic analysis. --- Integrals, Logarithmic.
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Fourier analysis is a mathematical technique for decomposing a signal into identifiable components. It is used in the study of all types of waves. This book explains the basic mathematical theory and some of the principal applications of Fourier analysis in areas ranging from sound and vibration to optics and CAT scanning. The author provides in-depth coverage of the techniques and includes exercises that demonstrate straightforward applications of formulas as well as more complex problems.
Harmonic analysis. Fourier analysis --- Fourier analysis. --- Fourier Analysis.
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Harmonic analysis. Fourier analysis --- Harmonic analysis --- 51 --- -Analysis (Mathematics) --- Functions, Potential --- Potential functions --- Banach algebras --- Calculus --- Mathematical analysis --- Mathematics --- Bessel functions --- Fourier series --- Harmonic functions --- Time-series analysis --- Congresses --- -Mathematics --- 51 Mathematics --- -51 Mathematics --- Analysis (Mathematics) --- Harmonic analysis - Congresses.
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Harmonic analysis. --- Locally compact groups. --- Invariants. --- Analyse harmonique --- Groupes localement compacts --- Analyse multidimensionnelle --- Harmonic analysis --- Locally compact groups
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Symmetric spaces --- Spaces, Symmetric --- 517.986.6 --- Harmonic analysis --- Geometry, Differential --- Analysis (Mathematics) --- Functions, Potential --- Potential functions --- Banach algebras --- Calculus --- Mathematical analysis --- Mathematics --- Bessel functions --- Fourier series --- Harmonic functions --- Time-series analysis --- 517.986.6 Harmonic analysis of functions of groups and homogeneous spaces --- Harmonic analysis of functions of groups and homogeneous spaces --- Harmonic analysis. --- Symmetric spaces.
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Harmonic analysis. Fourier analysis --- 517.52 --- Laplacetransformatie --- analyse --- fourierintegralen --- 517 --- Analyse : Fouriertheorie --- rijen en reeksen
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Harmonic analysis. Fourier analysis --- Numerical approximation theory --- 51 --- Mathematics --- 51 Mathematics
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Harmonic analysis --- Lp spaces --- Representations of Lie groups --- Semisimple Lie groups
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