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...

Täydet tiedot

Bibliografiset tiedot
Päätekijä: Yang, D
Muut tekijät: Lyons, T
Aineistotyyppi: Opinnäyte
Kieli:English
Julkaistu: 2012
Aiheet: