Abstract
We will discuss a somewhat striking spectral property of finitely valued stationary processes on Z that says that if the spectral measure of the process has a gap then the process is periodic. We will give some extensions of this result and raise several related questions.
Original language | English |
---|---|
Title of host publication | Operator Theory |
Subtitle of host publication | Advances and Applications |
Publisher | Springer International Publishing |
Pages | 141-157 |
Number of pages | 17 |
DOIs | |
State | Published - 2018 |
Publication series
Name | Operator Theory: Advances and Applications |
---|---|
Volume | 261 |
ISSN (Print) | 0255-0156 |
ISSN (Electronic) | 2296-4878 |
Bibliographical note
Publisher Copyright:© Springer International Publishing AG, part of Springer Nature 2018.
Keywords
- Carleman spectrum
- Finitely valued stationary process
- Spectral measure
- Spectral set
- Spectrum