Инвариантные подпространства в функциональных пространствах медленного роста на световом конусе в $R^{3}$

S. S. Platonov

Petrozavodsk State University, Faculty of Mathematics

Abstract: We describe the structure of closed linear subspaces in tempered topological vector function spaces on the light cone $X$ in $R^{3}$ that are invariant with respect to the natural quasiregular representation of the group $R\oplus SO_{0}(1,2)$. In particular, we obtain a description of the irreducible and indecomposable invariant subspaces. The class of function spaces under consideration include, in particular, the space $S'(X)$ of all tempered distributions on $X$.

UDC: 517.966

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