Uniqueness theorem for additive functions and its applications to orthogonal series

DOI10.1134/S0001434615030074zbMath1435.42023MaRDI QIDQ2352584

K. A. Keryan

Publication date: 3 July 2015

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

uniqueness problemHaar system\(A\)-integraladditive functionmultiple seriesprice system\(\mathcal P\)-adic parallelepipedrecovery of an additive function from its derivative

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Fourier series and coefficients in several variables (42B05)

Cites Work

• On the reconstruction of the coefficients of series from some orthogonal systems of functions.
• On uniqueness of the additive segment functions and trigonometric series
• On uniqueness of additive functions of dyadic cubes and series by Haar systems
• ON UNIQUENESS OF MULTIPLE TRIGONOMETRIC SERIES
• Convergence theorems of martingales
• Martingale Theory and Pointwise Convergence of Certain Orthogonal Series
• On generalized $\left( \mathbf{A} \right)$-integrals, I
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