Radon Transform on Sobolev Spaces

Siberian Mathematical Journal - The Radon transform  $ R $ maps a function  $ f $ on  $ {??}^{n} $ to the family of the integrals of  $ f $ over...     

On the Number of Frequency Hypercubes F $ {}^{n}(4;2,2) $

Siberian Mathematical Journal - A frequency $ n $ -cube F $ {}^{n}(4;2,2) $ is an $ n $ -dimensional $ 4 $ -by-…-by- $ 4 $ array filled by  $ 0 $ s and  $ 1 $ s...     

A Dedekind Criterion over Valued Fields

Siberian Mathematical Journal - Let $ (K,\nu) $ be an arbitrary-rank valued field, let  $ R_{\nu} $ be the valuation ring of  $ (K,\nu) $ , and let  $ K(\alpha)/K $ be...     

New Degree Spectra of Polish Spaces

Siberian Mathematical Journal - The main result is as follows: Fix an arbitrary prime $ q $ . A $ q $ -divisible torsion-free (discrete, countable) abelian group  $ G $ has a  $...     

Locally Finite Groups with Prescribed Structure of Finite Subgroups

Siberian Mathematical Journal - Let  $ {\mathfrak{M}} $ be a set of finite groups. Given a group  $ G $ , denote the set of all subgroups of  $ G $...     

On Finite Groups Factorizable by Weakly Subnormal Subgroups

Siberian Mathematical Journal - Let $ G $ be a group. A subgroup $ H $ is weakly subnormal in  $ G $ if $ H=\langle A,B\rangle $ for some subnormal subgroup  $ A $ and...     

Intersections of Three Nilpotent Subgroups in a Finite Group

Siberian Mathematical Journal - We complete the proof of the theorem that any nilpotent subgroups  $ A $ , $ B $ , and  $ C $ of a finite group  $ G $ satisfy...     

Essentially Invertible Measurable Operators Affiliated to a Semifinite von Neumann Algebra and Commutators

Siberian Mathematical Journal - Suppose that a von Neumann operator algebra  $ {\mathcal{M}} $ acts on a Hilbert space  $ {\mathcal{H}} $ and $ \tau $...     

On a class of singular p-Laplacian semipositone problems with sign-changing weights

We study existence of positive weak solution for a class of $p$-Laplacian problem $$\left\{\begin{array}{ll}-\Delta_{p}u = \lambda g(x)[f(u)-\frac{1}{u^{\alpha}}], & x\in \Omega,\\u= 0 , & x\in\partial \Omega,\end{array\right.$$ where $\lambda$ is a positive parameter and $\alpha\in(0,1),$ $\Omega $ is a bounded domain in $ R^{N}$ for $(N > 1)$ with smooth boundary, $\Delta_{p}u = div (|\nabla u|^{p-2}\nabla u)$ is the p-Laplacian operator for $( p > 2),$ $g(x)$ is $C^{1}$ sign-changing function such that maybe negative near the boundary and be positive in the interior and $f$ is $C^{1}$ nondecreasing function $\lim_{s\to\infty}\frac{f(s)}{s^{p-1}}=0.$ We discuss the existence of positive weak solution when $f$ and $g$ satisfy certain additional conditions. We use the method of sub-supersolution to establish our result.     

Formulas for Calculating the $ 3j $ -Symbols of the Representations of the Lie Algebra $ {\mathfrak{gl}}_{3} $ for the Gelfand–Tsetlin Bases

Siberian Mathematical Journal - We give a simple explicit formula for an arbitrary $ 3j $ -symbol for the Lie algebra  $ {\mathfrak{gl}}_{3} $ . The symbol is...     

Invariant Operators in Some Space of Vector Functions

Siberian Mathematical Journal - We consider the vector functions transforming in accord with the representations of the groups  $ SO(3) $ and  $ SU(2) $ and provide the formulas...     

Recognizing $ A_{7} $ by Its Set of Element Orders

Siberian Mathematical Journal - Let $ G $ be a periodic group, and let $ \omega(G)\subseteq{??} $ be the spectrum of  $ G $ that is the set of orders of elements in ...     

On the Sharp Baer–Suzuki Theorem for the $ \pi $ -Radical: Sporadic Groups

Siberian Mathematical Journal - Let  $ \pi $ be a proper subset of the set of all primes and $ {|\pi|\geq 2} $ . Denote the smallest prime not in  $ \pi $ by  $...     

Generalized Rickart $ \ast $ -Rings

Siberian Mathematical Journal - As a common generalization of Rickart $ \ast $ -rings and generalized Baer $ \ast $ -rings, we say that a ring  $ R $ with an involution ...     

On the Right-Symmetric Algebras with a Unital Matrix Subalgebra

Siberian Mathematical Journal - Under study are the right-symmetric algebras over a field  $ F $ which possess a “unital” matrix subalgebra  $...     

Nonlinear Mixed Jordan Triple $ * $ -Derivations on $ * $ -Algebras

Siberian Mathematical Journal - Let $ {\mathcal{A}} $ be a unital $ \ast $ -algebra containing a nontrivial projection. Under some mild conditions on  $ {\mathcal{A}} $ ,...     

On Nonconstant Pre-Lie Bimodules over $ M_{2}(F) $

Siberian Mathematical Journal - We describe the unital finite-dimensional simple nonconstant bimodules  $ {\mathcal{W}} $ over the matrix algebra  $ M_{2}(F) $ over...     

Locally Finite Periodic Groups Saturated with Finite Simple Orthogonal Groups of Odd Dimension

Siberian Mathematical Journal - Suppose that $ n $ is an odd integer, $ n\geq 5 $ . We prove that a periodic group  $ G $ , saturated with finite simple orthogonal groups  $...     

Multivalued Quasimöbius Mappings from Circle to Circle

Siberian Mathematical Journal - We prove that if a multivalued mapping  $ F $ of circle to circle has the $ \eta $ -BAD property (bounded distortion of generalized angles with...     

De Rham’s Theorem for Orlicz Cohomology

Siberian Mathematical Journal - We prove that the de Rham $ L^{\phi} $ -cohomology of a Riemannian manifold $ M $ admitting a convenient triangulation $ X $ is isomorphic to the...