Partial fraction expansion of the cotangens, Herglotz trick, and the Weierstrass continuous, nowhere differentiable function

DOI10.1007/s005910050046zbMath0949.39010OpenAlexW1963542468MaRDI QIDQ1303594

Jürgen Elstrodt

Publication date: 28 August 2000

Published in: Mathematische Semesterberichte (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s005910050046

zbMATH Keywords

functional equationspartial fractionscontinuous but not differentiable functionsperiodic continuous integrable solutions

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Lipschitz (Hölder) classes (26A16) Functional equations for real functions (39B22) Convergence and divergence of series and sequences (40A05) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Related Items (5)

The multiplication of the Clifford-analytic Eisenstein series. ⋮ A fresh approach to classical Eisenstein series and the newer Hilbert–Eisenstein series ⋮ Mean value operators and the characterization of cotangens by functional equations ⋮ A nonlocal transport equation describing roots of polynomials under differentiation ⋮ A nonlocal transport equation modeling complex roots of polynomials under differentiation

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