Some thoughts about Segal's ergodic theorem

Daniel W. Stroock. "Some thoughts about Segal's ergodic theorem." Colloquium Mathematicae 118.1 (2010): 89-105. <http://eudml.org/doc/284142>.

@article{DanielW2010,
abstract = {Over fifty years ago, Irving Segal proved a theorem which leads to a characterization of those orthogonal transformations on a Hilbert space which induce ergodic transformations. Because Segal did not present his result in a way which made it readily accessible to specialists in ergodic theory, it was difficult for them to appreciate what he had done. The purpose of this note is to state and prove Segal's result in a way which, I hope, will win it the recognition which it deserves.},
author = {Daniel W. Stroock},
journal = {Colloquium Mathematicae},
keywords = {ergodic theory; abstract Wiener space; Gaussian process; orthogonal transformations; large deviations},
language = {eng},
number = {1},
pages = {89-105},
title = {Some thoughts about Segal's ergodic theorem},
url = {http://eudml.org/doc/284142},
volume = {118},
year = {2010},
}

TY - JOUR
AU - Daniel W. Stroock
TI - Some thoughts about Segal's ergodic theorem
JO - Colloquium Mathematicae
PY - 2010
VL - 118
IS - 1
SP - 89
EP - 105
AB - Over fifty years ago, Irving Segal proved a theorem which leads to a characterization of those orthogonal transformations on a Hilbert space which induce ergodic transformations. Because Segal did not present his result in a way which made it readily accessible to specialists in ergodic theory, it was difficult for them to appreciate what he had done. The purpose of this note is to state and prove Segal's result in a way which, I hope, will win it the recognition which it deserves.
LA - eng
KW - ergodic theory; abstract Wiener space; Gaussian process; orthogonal transformations; large deviations
UR - http://eudml.org/doc/284142
ER -