On the equation \(f(x)=\int ^{\infty}_{-\infty}f(x+y)d\mu (y)\). (English) Zbl 0569.39002
The equation \(f(x)=\int^{\infty}_{-\infty}f(x+y)d\mu (y)\) is considered upon some specializations on both f and \(\mu\).
Reviewer: V.C.Boffi
MSC:
| 39B99 | Functional equations and inequalities |
| 45E10 | Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) |
| 60K05 | Renewal theory |
| 62E10 | Characterization and structure theory of statistical distributions |
