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517.52 --- 517.52 Series and sequences --- Series and sequences --- Number theory

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Mathématiques --- Sciences pures --- Wiskunde --- Zuivere wetenschappen --- 517.52

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Mathematical analysis --- 517.52 --- Series and sequences --- Tauberian theorems. --- 517.52 Series and sequences --- Fourier, Analyse de --- Théorèmes taubériens --- Transformations integrales

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Harmonic analysis. Fourier analysis --- 517.52 --- Laplacetransformatie --- analyse --- fourierintegralen --- 517 --- Analyse : Fouriertheorie --- rijen en reeksen

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Summability is an extremely fruitful area for the application of functional analysis; this volume could be used as a source for such applications. Those parts of summability which only have ``hard'' (classical) proofs are omitted; the theorems given all have ``soft'' (functional analytic) proofs.

Functional analysis --- Functional analysis. --- Summability theory. --- Summability theory --- 517.52 --- 517.52 Series and sequences --- Series and sequences --- Sequences (Mathematics) --- Series --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations