SPECTRAL TYPES OF UNIFORM-DISTRIBUTION

We investigate the spectral types of unitary operator U on L2(T) defined by (Uf)(x) = A(x)f(x + theta), \A(x)\ = 1 a.e., where 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.
Publisher
AMER MATHEMATICAL SOC
Issue Date
1994-03
Language
ENG
Citation

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, v.120, no.3, pp.715 - 722

ISSN
0002-9939
URI
http://hdl.handle.net/10203/65373
Appears in Collection
MA-Journal Papers(저널논문)
Files in This Item
There are no files associated with this item.
  • Hit : 115
  • Download : 0
  • Cited 0 times in thomson ci
This item is cited by other documents in WoS
⊙ Detail Information in WoSⓡClick to seewebofscience_button
⊙ Cited 4 items in WoSClick to see citing articles inrecords_button

qr_code

  • mendeley

    citeulike


rss_1.0 rss_2.0 atom_1.0