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...

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Manylion Llyfryddiaeth
Prif Awdur: Yang, D
Awduron Eraill: Lyons, T
Fformat: Traethawd Ymchwil
Iaith:English
Cyhoeddwyd: 2012
Pynciau:
Disgrifiad
Crynodeb:<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 an equivalent condition on the limit function is identified.</p>