Differential and Integral Equations
- Differential Integral Equations
- Volume 24, Number 1/2 (2011), 1-27.
A scale of almost periodic functions spaces
This paper contains a construction of a scale of almost periodic functions spaces, extending from the space of functions representable as sums of absolutely convergent series of complex exponentials, up to the space of Besicovitch, the largest for which the Parseval equality holds. Instead of using integral norms, that have been used in constructing almost periodic functions (Stepanov, Weyl, Besicovitch), one uses Minkowski's norms in the linear space of trigonometric polynomials, then completes the last space, endowed with Minkowski's norms with various indices between 1 and 2.
Differential Integral Equations, Volume 24, Number 1/2 (2011), 1-27.
First available in Project Euclid: 20 December 2012
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Primary: 34C27: Almost and pseudo-almost periodic solutions
Corduneanut, C. A scale of almost periodic functions spaces. Differential Integral Equations 24 (2011), no. 1/2, 1--27. https://projecteuclid.org/euclid.die/1356019043