Functional Analysis and Its Applications

Items from 1 to 20 out of 733 results

article

Lagrange Intersections in a Symplectic Space

P. E. Pushkar'

Functional Analysis and Its Applications > 2000 > 34 > 4 > 288-292

The two-dimensional torus |z₁|=|z₂|=1 in the symplectic space ℂ² and the image of it under a linear symplectomorphism have at least eight common points (counted according to their multiplicities). We also prove a many-dimensional version of this theorem of symplectic linear algebra.

article

Conditions for the Similarity of All Minimal Passive Scattering Systems with Given Scattering Matrix

D. Z. Arov

Functional Analysis and Its Applications > 2000 > 34 > 4 > 293-295

article

Operator Ergodic Theorems for Actions of Free Semigroups and Groups

A. I. Bufetov

Functional Analysis and Its Applications > 2000 > 34 > 4 > 239-251

New ergodic theorems are obtained for measure-preserving actions of free semigroups and groups. These theorems are derived from ergodic theorems for Markov operators. This approach also allows one to obtain ergodic theorems for some classes of Markov semigroups. Results of the paper generalize classical ergodic theorems of Kakutani, Oseledets, and Guivarc'h, and recent ergodic theorems of Grigorchuk,...

article

Completeness Theorems for Systems of Differential Equations

M. M. Malamud, L. L. Oridoroga

Functional Analysis and Its Applications > 2000 > 34 > 4 > 308-310

article

A Problem of Integral Geometry Related to a Triple of Grassmann Manifolds

M. I. Graev

Functional Analysis and Its Applications > 2000 > 34 > 4 > 299-301

article

Special Points of Surfaces in the Three-Dimensional Projective Space

D. A. Panov

Functional Analysis and Its Applications > 2000 > 34 > 4 > 276-287

In the paper, 3-jets of two-dimensional surfaces in the three-dimensional affine space are classified. It is shown that there are exactly 22 types of co-oriented 3-jets of surfaces. The action of the group of affine transformations on the space of 3-jets is studied. We calculate a universal complex of singularities that is related to the orbits of the group action. Two linear homology relations for...

article

One More Kind of the Classical Yang-Baxter Equation

I. Z. Golubchik, V. V. Sokolov

Functional Analysis and Its Applications > 2000 > 34 > 4 > 296-298

article

Theta Function Solutions of the Schlesinger System and the Ernst Equation

D. A. Korotkin, V. B. Matveev

Functional Analysis and Its Applications > 2000 > 34 > 4 > 252-264

We establish a link between the Schlesinger system and the Ernst equation (the stationary axisymmetric Einstein equation) on the level of algebro-geometric solutions. We calculate all metric coefficients corresponding to general algebro-geometric solutions of the Ernst equation.

article

The Negative Spectrum of a Class of Two-Dimensional Schrödinger Operators with Potentials Depending Only on Radius

A. Laptev

Functional Analysis and Its Applications > 2000 > 34 > 4 > 305-307

article

A Generalization of the Second Quantization Method to the Case of Special Tensor Products of Fock Spaces and Quantization of Free Energy

V. P. Maslov

Functional Analysis and Its Applications > 2000 > 34 > 4 > 265-275

The many-particle Schrödinger operator in Fock spaces is averaged by a method that is a generalization of the averaging given in the previous author's paper. This provides a new representation of the Schröodinger equation, which is a direct generalization of the second quantization representation. The resulting correspondence between symbols and operators permits one to quantize entropy as well as...

article

When a Sum of Idempotents or Projections is a Multiple of the Identity

V. I. Rabanovich, Yu. S. Samoilenko

Functional Analysis and Its Applications > 2000 > 34 > 4 > 311-313

article

Holomorphic Functions of a Basis of a Nilpotent Lie Algebra

A. A. Dosiev

Functional Analysis and Its Applications > 2000 > 34 > 4 > 302-304

article

Continuous Almost Best Approximations in C[0,1]

E. D. Lifshits

Functional Analysis and Its Applications > 2001 > 35 > 1 > 71-73

article

Szegö Type Limit Theorems for Multidimensional Discrete Convolution Operators with Continuous Symbols

I. B. Simonenko

Functional Analysis and Its Applications > 2001 > 35 > 1 > 77-78

article

Modules of Differential Operators on the Real Line

H. Gargoubi, V. Ovsienko

Functional Analysis and Its Applications > 2001 > 35 > 1 > 13-18

The space $$D^k$$ of kth-order linear differential operators on $$\mathbb{R}$$ is equipped with a natural two-parameter family of structures of Diff( $$\mathbb{R}$$ )-modules. To specify this family, one considers the action of differential operators on tensor densities. We give a classification of these modules.

article

The Krichever Correspondence for Algebraic Surfaces

A. N. Parshin

Functional Analysis and Its Applications > 2001 > 35 > 1 > 74-76

article

On the Finitization of the Gordon Identities

B. L. Feigin, S. A. Loktev

Functional Analysis and Its Applications > 2001 > 35 > 1 > 44-51

In this paper we prove an identity generalizing the Andrews-Gordon identity. We also discuss the meaning of our formula from the viewpoints of geometry of affine flag varieties and of geometry of polyhedra.

article

Lagrangian Grassmannian of a Quaternion Hypersymplectic Space

V. I. Arnold

Functional Analysis and Its Applications > 2001 > 35 > 1 > 61-63

article

An Asymptotic Formula for the Minimum Eigenvalues of Hilbert Type Matrices

G. A. Kalyabin

Functional Analysis and Its Applications > 2001 > 35 > 1 > 67-70

article

On the Continuability of Multivalued Analytic Functions to an Analytic Subset

A. G. Khovanskii

Functional Analysis and Its Applications > 2001 > 35 > 1 > 52-60

In the paper, it is shown that a germ of a many-valued analytic function can be continued analytically along the branching set at least until the topology of this set is changed. This result is needed to construct the many-dimensional topological version of Galois theory. The proof heavily uses Whitney's stratification.

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Functional Analysis and Its Applications

Lagrange Intersections in a Symplectic Space

Conditions for the Similarity of All Minimal Passive Scattering Systems with Given Scattering Matrix

Operator Ergodic Theorems for Actions of Free Semigroups and Groups

Completeness Theorems for Systems of Differential Equations

A Problem of Integral Geometry Related to a Triple of Grassmann Manifolds

Special Points of Surfaces in the Three-Dimensional Projective Space

One More Kind of the Classical Yang-Baxter Equation

Theta Function Solutions of the Schlesinger System and the Ernst Equation

The Negative Spectrum of a Class of Two-Dimensional Schrödinger Operators with Potentials Depending Only on Radius

A Generalization of the Second Quantization Method to the Case of Special Tensor Products of Fock Spaces and Quantization of Free Energy

When a Sum of Idempotents or Projections is a Multiple of the Identity

Holomorphic Functions of a Basis of a Nilpotent Lie Algebra

Continuous Almost Best Approximations in C[0,1]

Szegö Type Limit Theorems for Multidimensional Discrete Convolution Operators with Continuous Symbols

Modules of Differential Operators on the Real Line

The Krichever Correspondence for Algebraic Surfaces

On the Finitization of the Gordon Identities

Lagrangian Grassmannian of a Quaternion Hypersymplectic Space

An Asymptotic Formula for the Minimum Eigenvalues of Hilbert Type Matrices

On the Continuability of Multivalued Analytic Functions to an Analytic Subset

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