On generalized harmonic analysis
نویسندگان
چکیده
منابع مشابه
On Generalized Harmonic Analysis
Motivated by Wiener's work on generalized harmonic analysis, we consider the Marcinkiewicz space 6XP(R) of functions of bounded upper averagep power and the space St(R) of functions of bounded upper p variation. By identifying functions whose difference has norm zero, we show that St(R), 1 <p < oo, is a Banach space. The proof depends on the result that each equivalence class in cVP(R) contains...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1980
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1980-0561824-5