Abstract
We show that, under some weak regularity conditions, an approximately microperiodic function, mapping a semitopological group into the set of reals, is close to a constant function.
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Brzdęk, J. On approximately microperiodic mappings. Acta Math Hung 117, 179–186 (2007). https://doi.org/10.1007/s10474-007-6087-5
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DOI: https://doi.org/10.1007/s10474-007-6087-5
Key words and phrases
- microperiodic mapping
- Haar measurability
- Baire property
- σ-ideal
- semitopological group
- functional inequality