2018
Том 70
№ 9

All Issues

Vainerman L. I.

Articles: 6
Article (English)

A locally compact quantum group of triangular matrices

Fima P., Vainerman L. I.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 2008. - 60, № 4. - pp. 564–576

We construct a one parameter deformation of the group of 2 × 2 upper triangular matrices with determinant 1 using the twisting construction. An interesting feature of this new example of a locally compact quantum group is that the Haar measure is deformed in a non-trivial way. Also, we give a complete description of the dual C*-algebra and the dual comultiplication.

Article (Ukrainian)

On M. G. Krein's works in the theory of representations and harmonic analysis on topological groups

Vainerman L. I.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 1994. - 46, № 3. - pp. 198–211

This is a brief survey of M. G. Krein's papers in the theory of representations and harmonic analysis on topological groups. These papers are known to be classical and form the basis of numerous contemporary researches into these fields.

Article (Ukrainian)

Abstract Plancherel equation and inversion formula

Vainerman L. I.

Full text (.pdf)

Ukr. Mat. Zh. - 1989. - 41, № 8. - pp. 1041–1047

Article (Ukrainian)

Equation of mixed type in Hilbert space

Vainerman L. I.

Full text (.pdf)

Ukr. Mat. Zh. - 1981. - 33, № 4. - pp. 504–510

Article (Ukrainian)

Dissipative boundary value problems for a second-order differential equation with an unbounded variable operator coefficient

Vainerman L. I.

Full text (.pdf)

Ukr. Mat. Zh. - 1974. - 26, № 4. - pp. 530–534

Article (Ukrainian)

On self-adjoint semibounded abstract differential operators

Gorbachuk M. L., Vainerman L. I.

Full text (.pdf)

Ukr. Mat. Zh. - 1970. - 22, № 6. - pp. 806—808