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On the Birman Problem in the Theory of Nonnegative Symmetric Operators with Compact Inverse

期刊: FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2023; 57 (2)

Large classes of nonnegative Schrodinger operators on R2 and R3 with the following properties are described: 1. The restriction of each of these opera......

Singularities Equivariantly Simple with Respect to Irreducible Representations

期刊: FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2023; 57 (1)

There are many papers on the classification of singularities that are invariant or equivariant under the action of a finite group. However, since the ......

A Remark on Davies' Hardy Inequality

期刊: FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2023; 57 (1)

We give an integration by parts approach to Davies' Hardy inequality. An improvement with a strictly larger Hardy weight is thereby obtained.

Limit Spectral Measures of Matrix Distributions of Metric Triples

期刊: FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2023; 57 (2)

The notion of the limit spectral measure of a metric triple (i.e., a metric measure space) is defined. If the metric is square integrable, then the li......

A Convergence Rate Estimate for Remotest Projections on Three Subspaces

期刊: FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2023; 57 (2)

We give an estimate of the rate of convergence to zero of the norms of remotest projections on three subspaces of a Hilbert space with zero intersecti......

The Quasilinear Parabolic Venttsel' Problem with Discontinuous Leading Coefficients

期刊: FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2023; 57 (2)

New results on the strong solvability in Sobolev spaces of the quasilinear Venttsel' problem for parabolic equations with discontinuous leading coeffi......

Asymptotic Relations for the Distributional Stockwell and Wavelet Transforms

期刊: FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2023; 57 (1)

Abelian- and Tauberian-type results characterizing the quasiasymptotic behavior of distributions in S-0 '(R) in terms of their Stockwell transforms ar......

Nash-Type Inequalities on Metric-Measure Spaces

期刊: FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2023; 57 (1)

We extend homogeneous and inhomogeneous Nash-type inequalities to abstract metric-measure spaces.

Some Inequalities for p-Quermassintegrals

期刊: FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2023; 57 (2)

In this paper, we generalize the notions of quermassintegrals, harmonic quermassintegrals, and affine quermassintegrals to p-quermassintegrals so that......

On the Structure of Coset n-Valued Topological Groups on S3 and RP3

期刊: FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2023; 57 (1)

Three-dimensional manifolds carrying the structure of n-valued coset topological groups originating from the Lie groups Sp(1) and SO(3) are classified......

The Image of a Lagrangian Germ of Type E6±

期刊: FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2023; 57 (1)

It is proved that the image of a stable germ of type E-6(+/-) of a Lagrangian map to R-n is homeomorphic to the germ at zero of a closed half-space.

On a Sharp Lower Bound for the Tjurina Number of Zero-Dimensional Complete Intersections

期刊: FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2023; 57 (1)

As is known, for isolated hypersurface singularities and complete intersections of positive dimension, the Milnor number is the least upper bound for ......

A Semigroup of Paths on a Sequence of Uniformly Elliptic Complexes

期刊: FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2023; 57 (2)

The work is devoted to solving a problem of L. N. Shevrin and M. V. Sapir (Question 3.81b of the Sverdlovsk Notebook), namely, to constructing a finit......

Improved Inequalities for Numerical Radius via Cartesian Decomposition

期刊: FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2023; 57 (1)

We derive various lower bounds for the numerical radius w(A) of a bounded linear operator A defined on a complex Hilbert space, which improve the exis......

Diagram Automorphism Fixed Lie Algebras and Diagram Automorphism Fixed Quiver Varieties

期刊: FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2023; 57 (2)

We define certain subvarieties, called theta-Hecke correspondences, in Cartesian products of diagram automorphism fixed quiver varieties. These give u......

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