Twelve Landmarks of Twentieth-Century Analysis

DOI10.1017/CBO9781107445017zbMath1325.00006OpenAlexW1937647351MaRDI QIDQ5251751

Hervé Queffélec, Denis Choimet

Publication date: 21 May 2015

Full work available at URL: https://doi.org/10.1017/cbo9781107445017

zbMATH Keywords

exponential sumsprime number theoremcharacter sumsLittlewood's conjecturetheta functionsBanach algebrasTauberian theoremscorona problemBanach-Tarski paradoxcomplemented subspacesnowhere monotone functions

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) Baire category, Baire spaces (54E52) Classical Banach spaces in the general theory (46B25) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Spaces of bounded analytic functions of one complex variable (30H05) Probabilistic methods in Banach space theory (46B09) Exponential sums (11T23) Other character sums and Gauss sums (11T24) Ideals, maximal ideals, boundaries (46J20) Mathematics in general (00A05) Other special functions (33E99) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27) Trigonometric polynomials, inequalities, extremal problems (42A05) Other transformations of harmonic type (42C20) Tauberian theorems (40E05)

Related Items (7)

On Ikehara type Tauberian theorems with \(O(x^\gamma )\) remainders ⋮ Bohr sets in sumsets II: countable abelian groups ⋮ On additive bases in infinite abelian semigroups ⋮ Remarks on Chemin's space of homogeneous distributions ⋮ Wasserstein distance, Fourier series and applications ⋮ An asymptotic analysis of the Fourier-Laplace transforms of certain oscillatory functions ⋮ Note on the absence of remainders in the Wiener-Ikehara theorem

This page was built for publication: Twelve Landmarks of Twentieth-Century Analysis