Uniqueness and Quasi-Measures on the Group of Integers of A p-Series Field

DOI10.2307/2043665zbMath0491.42027OpenAlexW4238049519MaRDI QIDQ3952610

Kaoru Yoneda, William R. Wade

Publication date: 1982

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2043665

zbMATH Keywords

uniquenessWalsh functionsEgoroff's theoremgroup of integers of p-series fieldp-adic intervals

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Harmonic analysis on specific compact groups (43A75) Algebraic number theory: local fields (11S99) Uniqueness and localization for orthogonal series (42C25)

Related Items (10)

Dirichlet sets and some uniqueness theorems for Walsh series ⋮ Uniqueness theorems for Walsh series under a strong condition ⋮ A Unified Approach to Uniqueness of Walsh Series and Haar Series ⋮ \(\mathcal V\)-sets in the products of zero-dimensional compact abelian groups ⋮ Multidimensional dyadic Kurzweil-Henstock- and Perron-type integrals in the theory of Haar and Walsh series ⋮ Q-Measures on the Dyadic Group and Uniqueness Sets for Haar Series ⋮ Positive definite generalized measures on the dyadic field ⋮ Generalized Riemann-type integrals on the plane and an example of double Haar series ⋮ On generalized uniqueness theorems for Walsh series ⋮ A Generalized Capacity and a Uniqueness Theorem on the Dyadic Group

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