论文信息 - The $L^p$ norm of sums of translates of a function

The $L^p$ norm of sums of translates of a function

Forp not an even integer, p > 0, we prove that knowledge of the LP norm of all linear combinations of translates of a real valued function in LP(R) determines the function up to translation and multiplication by +1.

Kanter Marek | Kanter Marek

[1] Michael Schilder,et al. Some Structure Theorems for the Symmetric Stable Laws , 1970 .

[2] J. Doob. Stochastic processes , 1953 .

[3] P. Levy. Théorie de l'addition des variables aléatoires , 1955 .

[4] Edwin Hewitt,et al. Real And Abstract Analysis , 1967 .

[5] T. Teichmann,et al. Harmonic Analysis and the Theory of Probability , 1957, The Mathematical Gazette.