共查询到20条相似文献,搜索用时 31 毫秒
1.
O. V. Sarafanov 《Journal of Mathematical Sciences》2004,120(2):1195-1239
The C
*-algebra
generated by the operators of pseudodifferential boundary value problems on a manifold
with smooth closed disjoint edges and boundary
is studied. The operators act in the space L
2(
)
L
2(
). The goal of this paper is to describe all (up to an equivalence) irreducible representations of the algebra
Bibliography: 12 titles. 相似文献
2.
3.
In the metastable range, a class of mappings yielding a negative solution of the isotopic realization problem (posed by E. V. Shchepin in 1993) and satisfying an additional technical condition is described in algebraic terms. Namely, one constructs an obstruction to isotopic realization of a discretely realizable continuous mapping f of an n-polyhedron to an orientable PL m-manifold; the completeness of this obstruction is established for
in the case where f is discretely realizable by skeleta. Also, for
, a series of mappings
(with singular set consisting of a p-adic solenoid,
, and a point) is presented for which the problem is solved in the negative. Furthermore, it is shown that the problem is solved in the affirmative in the metastable range if stabilization with codimension one is allowed, as well as in the case of a mapping
, under the condition that f is discretely realizable by skeleta and the configuration singular set
is acyclic in dimension
(in the sense of the SteenrodSitnikov homology). Bibliography: 31 titles. 相似文献
4.
A. K. Prykarpatsky D. L. Blackmore Ya. V. Mykytyuk 《Journal of Mathematical Sciences》2001,104(5):1411-1421
This article is a continuation of [J. Math. Sci., 99, No.5, 1541–1547 (2000)] devoted to the validity of the Lax formula (cited in the article of Crandall, Ishii, and Lions [Bull. AMS, 27, No.1, 1–67 (2000)])
for a solution to the Hamilton–Jacobi nonlinear partial differential equation
where the Cauchy data
are now a function semicontinuous from below,
is the usual norm in
,
, and
is a positive evolution parameter. We proved that the Lax formula solves the Cauchy problem (2) at all points
,
fixed save for an exceptional set of points R of the F
type, having zero Lebesgue measure. In addition, we formulate a similar Lax-type formula without proof for a solution to a new nonlinear equation of the Hamilton–Jacobi-type:
where
is a diagonal positive-definite matrix, mentioned in Part I and having interesting applications in modern mathematical physics. 相似文献
5.
N. A. Shirokov 《Journal of Mathematical Sciences》2004,124(2):4935-4939
Let
, where the
and
satisfy the following relations:
and
. Denote by B
the class of all entire functions of exponential type bounded on the real axis. Under certain assumptions on the rate of approximation on E of a bounded function f by functions in B
( varies), we get some information about the smoothness of f. Bibliography: 4 titles. 相似文献
6.
M. S. Lyapina 《Journal of Mathematical Sciences》2004,120(2):1109-1116
A bi-Lipschitz continuous mapping of a space X is a bijection
such that
, where
. We write
if f is a Lipschitz (bi-Lipschitz) mapping of X into itself and denote by
the set of all bi-Lipschitz mappings of X that are not isometry. Thus,
if
and blip
. For X we consider a standard Cantor set K on the real line (with standard metric). The main result of this paper is formulated as follows:
where
Bibliography: 2 titles. 相似文献
7.
V. V. Makeev 《Journal of Mathematical Sciences》2002,110(4):2774-2775
Let A1,...,An be points in
, let
be a fixed point, let p be a positive integer, and let 1,...,n be positive real numbers. If the
does not depend on the position of M on a sphere with center O, then one says that the point system {A1,...,An} has an invariant of degree p with weight system {,...,n}. It is proved that for arbitrary positive integers d and N there exists a finite point system
having invariants of degrees p=1,...,N with common positive weight system {1,...,n}. Bibliography: 2 titles. 相似文献
8.
Kh. D. Ikramov 《Journal of Mathematical Sciences》2004,121(4):2458-2464
A matrix
is said to be accretive-dissipative if, in its Hermitian decomposition
, both matrices B and C are positive definite. Further, if B= I
n, then A is called a Buckley matrix. The following extension of the classical Fischer inequality for Hermitian positive-definite matrices is proved. Let
be an accretive-dissipative matrix, k and l be the orders of A
11 and A
22, respectively, and let m = min{k,l}. Then
For Buckley matrices, the stronger bound
is obtained. Bibliography: 5 titles. 相似文献
9.
10.
We introduce the notion of hyper-self-duality for Bose-Mesner algebras as a strengthening of formal self-duality. Let
denote a Bose-Mesner algebra on a finite nonempty set X. Fix p X, and let
and
denote respectively the dual Bose-Mesner algebra and the Terwilliger algebra of
with respect to p. By a hyper-duality of
, we mean an automorphism of
such that
for all
; and
is a duality of
.
is said to be hyper-self-dual whenever there exists a hyper-duality of
. We say that
is strongly hyper-self-dual whenever there exists a hyper-duality of
which can be expressed as conjugation by an invertible element of
. We show that Bose-Mesner algebras which support a spin model are strongly hyper-self-dual, and we characterize strong hyper-self-duality via the module structure of the associated Terwilliger algebra. 相似文献
11.
Maher Mili 《Journal of Theoretical Probability》2000,13(3):717-731
Let K be respectively the parabolic biangle and the triangle in
and
be a sequence in [0, +[ such that limp (p)=+. According to Koornwinder and Schwartz,(7) for each
there exist a convolution structure (*(p)) such that (K, *(p)) is a commutative hypergroup. Consider now a random walk
on (K, *(p)), assume that this random walk is stopped after j(p) steps. Then under certain conditions given below we prove that the random variables
on K admit a selective limit theorems. The proofs depend on limit relations between the characters of these hypergroups and Laguerre polynomials that we give in this work. 相似文献
12.
Nous montrons que toute fonction séparément finement surharmonique sur un ouvert de la topologie produit
n_1×s×
n_k des topologies fines des espaces R
n
1,. . ., R
n
k,
n_1×s×
n_k-localement bornée inférieurement est finement surharmonique dans . On en déduit que toute fonction séparément finement harmonique,
n_1×s×
n_k-localement bornée sur est finement harmonique dans .Separately Finely Superharmonic Functions
Abstract.We prove that every separately finely surperharmonic function on an open set in R
n
1×s×R
n
k for the product
n_1×s×
n_k of the fine topologies on the spaces R
n
1,. . ., R
n
k,
n_1×s×
n-klocally lower bounded, is finely superharmonic in . We then deduce that every separateltly finely harmonic function
n_1×s×
n
k-locally bounded in is finely harmonic. 相似文献
13.
D. E. Apushkinskaya H. Shahgholian N. N. Uraltseva 《Journal of Mathematical Sciences》2003,115(6):2720-2730
Let u and solve the problem
where is an open set in
0\} ,n \geqslant 2,H = \Delta - \partial _t \hfill \\ \hfill \\ \end{gathered} $$
" align="middle" border="0">
is the heat operator,
denotes the characteristic function of ,
is the unit cylinder in n+1,
, and the first equation is satisfied in the sense of distributions. We obtain the optimal regularity of the function u, i.e., we show that
. Bibliography: 6 titles. 相似文献
14.
Let X and Y be two Hilbert spaces, and
the space of bounded linear transformations from X into Y. Let {A
}
be a weakly periodic sequence of period T. Spectral theory of weakly periodic sequences in a Hilbert space is studied by H. L. Hurd and V. Mandrekar (1991). In this work we proceed further to characterize {A
n} by a positive measure and a number T of
-valued functions a
0, . . . ,a
T–1; in the spectral form
, where
and is an
-valued Borel set function on [0, 2) such that
相似文献
15.
In this work the authors study the conditions for the existence of diffusion equations
in the cylinder Q = 3D ×
+,
n
, satisfying the homogeneous Dirichlet or Neumann conditions on the side boundary of the cylinder Q and decreasing with respect to t as a power for t . 相似文献
16.
A. I. Generalov 《Journal of Mathematical Sciences》2004,120(4):1563-1574
A relative version of Rickard's theorem is proved, namely, if is a quasi-Frobenius proper class of short sequences in an Abelian category
, then the -stable category of the category
is a quotient category of the relative bounded derived category
(
). Bibliography: 20 titles. 相似文献
17.
E. Getzler 《Compositio Mathematica》2002,132(2):121-135
We calculate the Euler characteristics of the local systems S
k
S
2
on the moduli space
2 of curves of genus 2, where
is the rank 4 local system R
1 *
. 相似文献
18.
Michel Matthey 《K-Theory》2001,24(1):87-107
Let be a group, F the free
-module on the set of finite order elements in , with acting by conjugation, and
the ring extension of
by % MathType!MTEF!2!1!+-% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaqaaeaacaGaaiaabeqaamaabaabaaGcbaWaaiWaaeaada% WcaaqaaiaaigdaaeaatCvAUfKttLearyGqLXgBG0evaGqbciab-5ga% UbaaieaacaGFLbGaaGOmaiaabc8acqWFPbqAcaqGVaGae8NBa42aaq% qaaeaacqGHdicjcqaHZoWzcqGHiiIZcqqHtoWrcaqGGaGaae4Baiaa% bAgacaqGGaGaae4BaiaabkhacaqGKbGaaeyzaiaabkhacaqGGaGae8% NBa4gacaGLhWoaaiaawUhacaGL9baaaaa!563E!\[\left\{ {\frac{1}{n}e2{\text{\pi }}i{\text{/}}n\left| {\exists \gamma \in \Gamma {\text{ of order }}n} \right.} \right\}\]. For a ring R with
, we build an injective assembly map
, detected by the Dennis trace map. This is proved by establishing a delocalization property for the assembly map
in Hochschild homology, namely providing a gluing of simpler assembly maps (i.e. localized at the identity of ) to build
, and by delocalizing a known assembly map in K-theory to define
. We also prove the delocalization property in cyclic homology and in related theories. 相似文献
19.
Let R
3 be a bounded domain,
0$$
" align="middle" border="0">
, a family of extending subdomains, and =(x) a positive function in
be a space of -solenoidal vector fields,
0$$
" align="middle" border="0">
, a family of subspaces, G orthogonal projectors in
onto
. A unitary transformation that diagonalizes the family of projectors {G} is constructed: it takes
to the operator of multiplication by the independent variable. The isometry of this transformation is proved with the help of the operator Riccati equation for the NeumanntoDirichlet mapping. Bibliography: 8 titles. 相似文献
20.
We prove that the condition
is necessary and sufficient for the validity of the relation ln F() ln (, F), +, outside a certain set for every function from the class
. Here, H(, f) is the class of series that converge for all 0 and have a form
and f() is a positive differentiable function increasing on [0, +) and such that f(0) = 1 and ln f() is convex on [0, +). 相似文献