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JOURNALS // Algebra i Analiz // Archive

1991, Volume 3, Issue 3


Expository Surveys
The two-dimensional Schrödinger operator with a homogeneous magnetic field and its perturbations by periodic zero-range potentials
V. A. Geiler
1

Research Papers
Decreasing solutions and dispersion laws in a $(2+1)$-dimensional dressing method
L. V. Bogdanov, V. E. Zakharov
49
Representation of $C^*$-algebras generated by pseudodifferential operators in a polyhedron
A. Yu. Kokotov
57
The Schoenberg problem on positive-definite functions
A. L. Koldobskii
78
Classification of irreducible orthogonal decompositions of simple Lie algebras of type $A_n$
A. I. Kostrikin, Pham Huu Tiep
86
Isometric and contractive operators in Kreǐn spaces
Manfred Möller
110
Identity components of restrictions of a representation of a finite grou
S. P. Strunkov
127
On defects of valued division algebras
I. L. Tomchin, V. I. Yanchevskii
147
Class field theory of multidimensional local fields of characteristic 0 with residue field of positive characteristic
I. B. Fesenko
165
The algebra $\mathrm{Vert}(\mathbb C\mathrm{vir},c)$ of vertex operators for the Virasoro algebra
D. V. Yur'ev
197

Yu. V Linnik. Some of his work from the 1950s
I. A. Ibragimov
206

Book Reviews
J. William Helton. “Operator Theory, Analytic Functions, Matrices, and Electrical Engineering”. CBMS Regional Conf. Series in Math. N 68. American Math. Society, 1987. 134 p.; Bruce A. Francis "A Course in $H^{\infty}$ Control Theory". Lecture Notes in Control and Information Sciences. Vol. 88. Springer, 1987. 156 p.
A. L. Vol'berg
216


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