Vector-valued pseudo almost periodic functions

Chuan Yi Zhang

Czechoslovak Mathematical Journal (1997)

  • Volume: 47, Issue: 3, page 385-394
  • ISSN: 0011-4642

Abstract

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Vector-valued pseudo almost periodic functions are defined and their properties are investigated. The vector-valued functions contain many known functions as special cases. A unique decomposition theorem is given to show that a vector-valued pseudo almost periodic function is a sum of an almost periodic function and an ergodic perturbation.

How to cite

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Zhang, Chuan Yi. "Vector-valued pseudo almost periodic functions." Czechoslovak Mathematical Journal 47.3 (1997): 385-394. <http://eudml.org/doc/30370>.

@article{Zhang1997,
abstract = {Vector-valued pseudo almost periodic functions are defined and their properties are investigated. The vector-valued functions contain many known functions as special cases. A unique decomposition theorem is given to show that a vector-valued pseudo almost periodic function is a sum of an almost periodic function and an ergodic perturbation.},
author = {Zhang, Chuan Yi},
journal = {Czechoslovak Mathematical Journal},
keywords = {almost periodic functions pseudo almost periodic functions; pseudo almost periodic functions; pseudo almost periodic functions; ergodic perturbation},
language = {eng},
number = {3},
pages = {385-394},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Vector-valued pseudo almost periodic functions},
url = {http://eudml.org/doc/30370},
volume = {47},
year = {1997},
}

TY - JOUR
AU - Zhang, Chuan Yi
TI - Vector-valued pseudo almost periodic functions
JO - Czechoslovak Mathematical Journal
PY - 1997
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 47
IS - 3
SP - 385
EP - 394
AB - Vector-valued pseudo almost periodic functions are defined and their properties are investigated. The vector-valued functions contain many known functions as special cases. A unique decomposition theorem is given to show that a vector-valued pseudo almost periodic function is a sum of an almost periodic function and an ergodic perturbation.
LA - eng
KW - almost periodic functions pseudo almost periodic functions; pseudo almost periodic functions; pseudo almost periodic functions; ergodic perturbation
UR - http://eudml.org/doc/30370
ER -

References

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  11. Integration of asymptotically almost periodic functions and weak asymptotic almost periodicity, Dissertationes Math. 279 (1989). (1989) MR0986113
  12. Almost-Periodic Functions in Abstract Spaces, Pitman, London, 1985. (1985) Zbl0648.42006MR0790316
  13. 10.1006/jmaa.1994.1005, J. Math. Anal. Appl. 181 (1994), 62–76. (1994) Zbl0796.34029MR1257954DOI10.1006/jmaa.1994.1005
  14. 10.1006/jmaa.1995.1189, J. Math. Anal. Appl. 192 (1995), 543–561. (1995) Zbl0826.34040MR1332227DOI10.1006/jmaa.1995.1189

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