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Book review of: D. Choimet and H. Queffélec, Analyse mathématique. Grands théorèmes du vingtième siècle; P. D. Lax and L. Zalcman, Complex proofs of real theorems. (French) Zbl 1358.00022

Review of [Zbl 1183.00001] and [Zbl 1243.30001].

MSC:

00A17 External book reviews
00A05 Mathematics in general
01A60 History of mathematics in the 20th century
11T23 Exponential sums
11T24 Other character sums and Gauss sums
26A27 Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives
30H05 Spaces of bounded analytic functions of one complex variable
33E99 Other special functions
40E05 Tauberian theorems
42A05 Trigonometric polynomials, inequalities, extremal problems
42C20 Other transformations of harmonic type
46B09 Probabilistic methods in Banach space theory
46B25 Classical Banach spaces in the general theory
46J15 Banach algebras of differentiable or analytic functions, \(H^p\)-spaces
46J20 Ideals, maximal ideals, boundaries
54E52 Baire category, Baire spaces
30-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functions of a complex variable
47-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to operator theory
37-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to dynamical systems and ergodic theory
30A99 General properties of functions of one complex variable
30B10 Power series (including lacunary series) in one complex variable
30C80 Maximum principle, Schwarz’s lemma, Lindelöf principle, analogues and generalizations; subordination
37F10 Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets
30D45 Normal functions of one complex variable, normal families
47B38 Linear operators on function spaces (general)
47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators
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