Журнал математической физики, анализа, геометрии, 2005, № 2

Авторский указатель к тому 1 за 2005 год

Sat, 01 Jan 2005 00:00:00 GMT

Авторский указатель к тому 1 за 2005 год

Памяти Владимира Ильича Гурария

Sat, 01 Jan 2005 00:00:00 GMT

Памяти Владимира Ильича Гурария

The degenerate Carathéodory problem and the elementary multiple factor

Sat, 01 Jan 2005 00:00:00 GMT

The degenerate Carathéodory problem and the elementary multiple factor Chernovol, N.N. The degenerate matricial interpolation Caratheodory problem is solved. To solve this problem we use the V.P. Potapov's approach based on the theory of J-expansive matrix-functions. The K-type subspace technique also plays an important role in these investigations.

Subharmonic almost periodic functions

Sat, 01 Jan 2005 00:00:00 GMT

Subharmonic almost periodic functions Rakhnin, A.V.; Favorov, S.Yu. We prove that almost periodicity in the sense of distributions coincides with almost periodicity with respect to Stepanov's metric for the class of subharmonic functions in a strip {z belongs C : a < Imz < b}. We also prove that Fourier coefficients of these functions are continuous functions in Imz. Further, if the logarithm of a subharmonic almost periodic function is a subharmonic function, then it is almost periodic.