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1.
Edgar R. Lorch 《Integral Equations and Operator Theory》1981,4(3):422-434
The objects studied are the subalgebras of
which contain co. These are isometrically isomorphic to the algebras C(
) where
is a compactification of a discrete denumerable set N . It is shown: 1) If
is metric then there is a projection of norm 1, P: C(
) C(
) with kernel co defined by PF = f o where is a retraction of
onto
=
– N . 2) If
is metric, then the group of homeomorphisms of
is isomorphic to a complete group of permutations of the natural numbers . 3) The group of homeomorphisms of a compact metric space is the homomorphic image of a complete group of permutations of ("complete" means "no outer automorphisms, trivial center"). 相似文献
2.
Gikō Ikegami 《Inventiones Mathematicae》1989,95(2):215-246
Summary We define a constraint system
, [0,0), which is a kind of family of vector fields
on a manifold. This is a generalized version of the family of the equations
, [0,0),x
m
,y
n
. Finally, we prove a singular perturbation theorem for the system
, [0,0).Dedicated to Professor Kenichi Shiraiwa on his 60th birthday 相似文献
3.
Giorgio Busetto 《Annali di Matematica Pura ed Applicata》1985,142(1):91-103
Sunto Siano G e
due gruppi, : GG una proiettività e N un sottogruppo normale di G. Vengono provati alcuni risultati sulle proprietà di immersions in
e G rispettivamente, del gruppi
, la chiusura normale di N in
modulo il nocciolo di N in
, e
.
Supported by a C.N.R. grant. 相似文献
Supported by a C.N.R. grant. 相似文献
4.
We are interested in parabolic problems with L1 data of the type
with i, j=0, 1, (i, j) (0, 0), 0 = 0 and 1 = 1. Here, is an open bounded subset of
with regular boundary and
is a Caratheodory function satisfying the classical Leray-Lions conditions and is a monotone graph in
with closed domain and such that
We study these evolution problems from the point of view of semi-group theory, then we identify the generalized solution of the associated Cauchy problem with the entropy solution of
in the usual sense introduced in [5]. 相似文献
5.
G. G. Braichev 《Mathematical Notes》1976,19(2):135-140
In this paper it is shown that under conditions of applicability of the operator
to the class [,] =(I,s), 2 1, 2), 1, 2< the equation
y=f has a particular solution of this class vf[, ]. The general form of a solution of the homogeneous equation
y=0 is established. The growth of a solution is investigated by means of a system of conjugate orders and a system of conjugate types. A solvability result is also obtained in the class
, where T is a certain set in R
+
2
depending on the operator
.Translated from Matematicheskie Zametki, Vol. 19, No. 2, pp. 225–236, February, 1976.In conclusion, the author would like to express his thanks to his adviser, Yu. F. Korobeinik. 相似文献
6.
A. M. Zubkov 《Mathematical Notes》1977,22(5):906-914
Let
where 1,..., n are independent random variables and the
are functions (e.g., taking the values 0 and 1). For cases when almost all the summands forming are equal to 0 with a probability close to 1, estimates from above and below are obtained for the quantity P{=0}, as well as upper estimates for the distance in variation between the distribution , and the distribution of the approximating sum of independent random variables.Translated from Matematicheskie Zametki, Vol. 22, No. 5, pp. 745–758, November, 1977.The author is grateful to V. G. Mikhailov for numerous discussions of the results of this paper and for his help in carrying out the tedious auxiliary calculations. 相似文献
7.
Sunto Si provano alcuni risultati sul carattere analitico complesso di applicazioni armoniche fra varietà Kähleriane, utilizzando due differenti tecniche entrambe basate sulla teoria dei fibrati positivi: nel caso compatto, si usa uno sviluppo generalizato alla Bochner- Kodaira del Laplaciano complesso , utilizzando il fatto che, se f: N M è armonica, allora
f è una (0, 1) -forma - armonica a valori nel fibrato indotto E=f*[TM]1,0; nel caso aperto, se f è stabile, il problema viene ricondotto allo studio dell'equazione
con stime L2 pesate: sotto opportune ipotesi, il fibrato E può essere dotato di una struttura di fibrato olomorfo positivo che trasforma
in
. 相似文献
8.
William Habre 《manuscripta mathematica》1979,27(4):329-340
To every continuous partition of unity = (i)iI we associate a subspace øT of T containing T which itself is a kR-space. We show that T is the intersection of the øT's and Cc(T) is the inductive limit of the algebras
where ø runs over the set ø of all continuous
partitions of unity and where
is the family of compacts sets
0} \} ^\beta $$
" align="middle" border="0">
of øT. This shows that the algebra of continuous functions over a c-replete space endowed with the compact open topology is the topological inductive limit of complete algebras. Finally, we give a new class of c-replete spaces.
Ce travail a été mis au point, durant un séjour à Liège, sous le patronage de M. SCHMETS et supporté par L'UNESCO. 相似文献
Ce travail a été mis au point, durant un séjour à Liège, sous le patronage de M. SCHMETS et supporté par L'UNESCO. 相似文献
9.
The C-regularity up to the boundary of solutions to the Dirichlet problem:
is proved, using a comparison principle of L with a Hörmander's type operator X
j
*
Xj, where is a smooth bounded open subset of Rn, and
is a second-order degenerate elliptic operator with smooth coefficients, satisfying the so-called Fefferman-Phong's condition. 相似文献
10.
Let {S
n}
n0 be a random walk on the line. We give criteria for the existence of a nonrandom sequence n
i for which
respectively
We thereby obtain conditions for to be a strong limit point of {S
n} or {S
n
/n}. The first of these properties is shown to be equivalent to
for some sequence a
i , where T(a) is the exit time from the interval [–a,a]. We also obtain a general equivalence between
and
for an increasing function fand suitable sequences n
i and a
i. These sorts of properties are of interest in sequential analysis. Known conditions for
and
(divergence through the whole sequence n) are also simplified. 相似文献
11.
A renormalization group transformation R
1 has a single stable point
in the space of the analytic circle homeomorphisms with a single cubic critical point and with the rotation number
(the golden mean). Let a homeomorphism T be the C
1-conjugate of
. We let
denote the sequence of distribution functions of the time of the kth entrance to the nth renormalization interval for the homeomorphism T. We prove that for any
, the sequence
has a finite limiting distribution function
, which is continuous in
, and singular on the interval [0,1]. We also study the sequence
for k>1. 相似文献
12.
Let H be a real Hilbert space, :H [0, + ] a proper l.s.c., convex function with Lk:={u H; u2 + (u) k} compact for every k > 0, let > 0 be a given constant and
. We prove an existence result for strong solutions to a class of functional differential equations of the form
相似文献
13.
P. G. Grinevich 《Theoretical and Mathematical Physics》1994,99(2):599-605
The direct and the inverse scattering problems for the heat-conductivity operator
are studied for the following class of potentials:u(x,y)=u
o
(x,y)+u
1(x,y), whereu
o
(x,y) is a nonsingular real finite-gap potential andu
1(x,y) decays sufficiently fast asx
2+y2. We show that the scattering data for such potentials is the
data on the Riemann surface corresponding to the potentialu
o
(x,y). The scattering data corresponding to real potentials is characterized and it is proved that the inverse problem corresponding to such data has a unique nonsingular solution without the small norm assumption. Analogs of these results for the fixed negative energy scattering problem for the two-dimensional time-independent Schrödinger operator
are obtained.L. D. Landau Institute for Theoretical Physics, Kosygina 2, GSP-1, Moscow 177940, Russia. E-mail: pgg@cpd.landau.free.net. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 99, No. 2, pp. 300–308, May, 1994. 相似文献
14.
Ivan Singer 《Annali di Matematica Pura ed Applicata》1987,148(1):289-352
Summary We give some applications of infimal generators of complete lattices, in the sense of Kutateladze and Rubinov [12], to the study of dualities between two complete lattices E and F (i.e., mappings : E F satisfying
for all
and all index sets I, including the empty set I=Ø). We give some additional results for E=(2X,
), F=(2W,
) and E=(¯RX, ), F=(¯RW, ) (where X and W are arbitrary sets), with suitable families of infimal generators. We obtain some lattice- theoretic properties of the relations of [22] between dualities : (2X,
) (2W,
), binary relations
X×W, polarities (): (2X,
) (2W,
), coupling functionals : X×W ¯R and Fenchel-Moreau conjugations c():(¯RX, ) (¯RW,). 相似文献
15.
H. Beirão da Veiga 《Annali di Matematica Pura ed Applicata》1992,161(1):153-165
Summary We consider the motion of a barotropic compressible fluid in a one dimensional bounded region with impermeable boundary, see equation (1.1). Here, u(t, q) denotes the velocity and v(t, q) the specific volume. The quantity log v(t, q) measures the displacement of v(t, q) with respect to the equilibrium v 1. For the sake of brevity we denote here different norms by the simbol . We show that there is a positive constant r0=r0(), a small ball B1 (r) (with radius R1 (r),
), and a large ball B(r) (with radius R(r),
) such that the following holds, for each r [0, r0 [(i) If f(t) < r for all t 0, and if (u(0), log v(0))R(r) (i.e. (u(0), log v(0)) B(r)) then, for sufficiently large values of t, (u(t), log v(t))R1 (r); (ii) The solutions starting at time t=0 from the large ball B(r) have all the same asymptotic behaviour (see (1.11)); (iii) If f is T-periodic then there is a (unique) T-periodic solution (u(t), log v(t)) inside the small ball B1 (r). This periodic solution atracts all solutions which intersect the large ball B(r). Periodic solutions had been previously studied only for very specific pressure laws, namely p(v)-log v and p(v)-v–1. 相似文献
16.
Let X,X
n
;n1 be a sequence of real-valued i.i.d. random variables with E(X)=0. Assume B(u) is positive, strictly increasing and regularly-varying at infinity with index 1/2<1. Set b
n
=B(n),n1. If
17.
Yuanji Cheng 《Czechoslovak Mathematical Journal》1997,47(4):681-687
In this paper, we consider the existence and nonexistence of positive solutions of degenerate elliptic systems
where –p is the p-Laplace operator, p > 1 and is a C
1,-domain in
. We prove an analogue of [7, 16] for the eigenvalue problem with
and obtain a non-existence result of positive solutions for the general systems. 相似文献
18.
D. M. Smirnov 《Algebra and Logic》2005,44(2):109-116
Let be the set of all primes,
the field of all algebraic numbers, and Z the set of square-free natural numbers. We consider partially ordered sets of interpretability types such as
, and
, where AD is a variety of -divisible Abelian groups with unique taking of the pth root p(x) for every p ,
is a variety of
-modules over a normal field
, contained in
, and Gn is a variety of n-groupoids defined by a cyclic permutation (12 ...n). We prove that
, and
are distributive lattices, with
and
where
ub and
ubf are lattices (w.r.t. inclusion) of all subsets of the set and of finite subsets of , respectively.Deceased.__________Translated from Algebra i Logika, Vol. 44, No. 2, pp. 198–210, March–April, 2005. 相似文献
19.
Summary The local limit problem is investigated for sequences (p
n
) of probability densities with stable limit densitiesq
having characteristic exponent (0, 2).It is shown that certain continuity-properties (Hölder-continuity) are necessary and - under appropriate additional conditions-sufficient for
asn. In this sence the speed of convergence is also studied. 相似文献
20.
A. A. Saakyan 《Mathematical Notes》2003,74(1-2):255-265
In this paper, we prove that for any compact set
there exists a homeomorphism of the closed interval
such that for an arbitrary function f the Fourier series of the function F(x,y) = f((x),(y)) converges uniformly on
simultaneously over rectangles, over spheres, and over triangles. 相似文献
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