On the existence of the ergodic Hilbert transform (Q1096865)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On the existence of the ergodic Hilbert transform |
scientific article; zbMATH DE number 4032414
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the existence of the ergodic Hilbert transform |
scientific article; zbMATH DE number 4032414 |
Statements
On the existence of the ergodic Hilbert transform (English)
0 references
1987
0 references
The main result of the paper is the equivalence between the existence of ergodic Hilbert transform and the ergodic average in the sense of almost sure convergence for a unitary operator in \(L_ 2\). To prove this result the author uses the spectral representation of this operator.
0 references
existence of ergodic Hilbert transform
0 references
ergodic average in the sense of almost sure convergence for a unitary operator in \(L_ 2\)
0 references
spectral representation
0 references
