2 papers
math.CA2007
Failure of Wiener's property for positive definite periodic functions
Aline Bonami, Szilárd Gy. Révész
We say that Wiener's property holds for the exponent if we have that whenever a positive definite function belongs to for some , then necessarily bel…
math.CA2007
Invariant decomposition of functions with respect to commuting invertible transformations
Bálint Farkas, Viktor Harangi, Tamás Keleti +1
Consider a_1,a_2,...,a_n, arbitrary elements of R. We characterize those real functions f that decompose into the sum of a_j-periodic functions, i.e., f=f_1+...+f_n with D_{a_j}f(x…