2018
Том 70
№ 6

# Kosyak O. V.

Articles: 5
Article (Russian)

### Operators of Generalized Translation and Hypergroups Constructed from Self-Adjoint Differential Operators

Ukr. Mat. Zh. - 2005. - 57, № 5. - pp. 659–668

We construct new examples of operators of generalized translation and convolutions in eigenfunctions of certain self-adjoint differential operators.

Article (English)

### Elementary Representations of the Group $B_0^ℤ$ of Upper-Triangular Matrices Infinite in Both Directions. I

Ukr. Mat. Zh. - 2002. - 54, № 2. - pp. 205-216

We define so-called “elementary representations” $T_p^{R,µ},\; p ∈ ℤ$, of the group $B_0^ℤ$ of finite upper-triangular matrices infinite in both directions by using quasi-invariant measures on certain homogeneous spaces and give a criterion for the irreducibility and equivalence of the representations constructed. We also give a criterion for the irreducibility of the tensor product of finitely many and infinitely many elementary representations.

Article (Ukrainian)

### A Garding domain for representations of the canonical commutation relations

Ukr. Mat. Zh. - 1984. - 36, № 6. - pp. 709 – 715

Article (Ukrainian)

### Garding domain and entire vectors for inductive limits of commutative locally compact groups

Ukr. Mat. Zh. - 1983. - 35, № 4. - pp. 427—434

Article (Ukrainian)

### Families of commuting self-adjoint operators

Ukr. Mat. Zh. - 1979. - 31, № 5. - pp. 555–558