Partial sum process of orthogonal series as rough process

Partial sum process of orthogonal series as rough process

<p>In this thesis, we investigate the pathwise regularity of partial sum process of general orthogonal series, and prove that the partial sum process is a geometric 2-rough process under the same condition as in Menshov-Rademacher Theorem. For Fourier series, the condition can be improved, and...

Полное описание

Библиографические подробности
Главный автор:	Yang, D
Другие авторы:	Lyons, T
Формат:	Диссертация
Язык:	English
Опубликовано:	2012
Предметы:	Functional analysis (mathematics)

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