Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Spectral types of uniform distribution

Author: Geon H. Choe
Journal: Proc. Amer. Math. Soc. 120 (1994), 715-722
MSC: Primary 47A35; Secondary 11K06, 28D05
MathSciNet review: 1169880
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We investigate the spectral types of unitary operator $ U$ on $ {L^2}(\mathbb{T})$ defined by $ (Uf)(x) = A(x)f(x + \theta ),\vert A(x)\vert = 1$ a.e., where $ \mathbb{T}$ is the unit circle identified with the half open interval $ [0,1)$ and $ \theta $ is irrational. It is shown that Veech's result on the Kronecker-Weyl theorem modulo $ 2$ is closely related to the spectral type of $ U$.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 47A35, 11K06, 28D05

Retrieve articles in all journals with MSC: 47A35, 11K06, 28D05

Additional Information

PII: S 0002-9939(1994)1169880-6
Keywords: Maximal spectral type, uniform distribution modulo $ 1$, coboundary
Article copyright: © Copyright 1994 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia