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A Topological Ivašev‐Musatov Theorem
Author(s) -
Körner T. W.
Publication year - 2003
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610702003836
Subject(s) - series (stratigraphy) , fourier series , mathematics , measure (data warehouse) , interval (graph theory) , probability measure , pure mathematics , topology (electrical circuits) , discrete mathematics , combinatorics , mathematical analysis , computer science , data mining , paleontology , biology
If the sum of a series of positive numbers is not convergent and the series satisfies certain regularity conditions, a probability measure can be found whose support contains no interval, yet whose Fourier series decreases faster than the given series.