Almost periodic Jacobi matrices with homogeneous spectrum, infinite dimensional Jacobi inversion, and hardy spaces of character-automorphic functions

1997 ◽  
Vol 7 (3) ◽  
pp. 387-435 ◽  
Author(s):  
Mikhail Sodin ◽  
Peter Yuditskii
Keyword(s):  
Hardy Spaces ◽  
Jacobi Matrices ◽  
Almost Periodic ◽  
Infinite Dimensional ◽  
Jacobi Inversion ◽  
Homogeneous Spectrum ◽  
Automorphic Functions

scholarly journals Almost periodic Jacobi matrices associated with Julia sets for polynomials

1985 ◽  
Vol 99 (3) ◽  
pp. 303-317 ◽  
Author(s):  
M. F. Barnsley ◽  
J. S. Geronimo ◽  
A. N. Harrington
Keyword(s):  
Julia Sets ◽  
Jacobi Matrices ◽  
Almost Periodic

Continuity properties of compact right topological groups

1979 ◽  
Vol 86 (3) ◽  
pp. 427-435 ◽  
Author(s):  
Paul Milnes
Keyword(s):  
Almost Periodic ◽  
Periodic Functions ◽  
Topological Groups ◽  
Almost Automorphic ◽  
Almost Automorphic Function ◽  
Almost Automorphic Functions ◽  
Continuity Properties ◽  
Enveloping Semigroups ◽  
The One ◽  
Automorphic Functions

AbstractCompact right topological groups appear naturally in topological dynamics. Some continuity properties of the one arising as an enveloping semigroup from the distal function are considered here (and, by way of comparison, the enveloping semigroups arising from two almost automorphic functions are discussed). The continuity properties are established either explicitly or by citing a theorem which is proved here and gives some characterizations of almost periodic functions. One characterization is proved using the result (essentially due to W. A. Veech) that a distal, almost automorphic function is almost periodic. A proof of this last result is also given.

scholarly journals Infinite-dimensional Jacobi matrices associated with Julia sets

1983 ◽  
Vol 88 (4) ◽  
pp. 625-625 ◽  
Author(s):  
M. F. Barnsley ◽  
J. S. Geronimo ◽  
A. N. Harrington
Keyword(s):  
Julia Sets ◽  
Jacobi Matrices ◽  
Infinite Dimensional
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