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871.
We study the Jordan structures and geometry of bounded matrix-valued harmonic functions on a homogeneous space and their analogue, the harmonic functionals, in the setting of Fourier algebras of homogeneous spaces.Supported by EPSRC grant GR/G91182 and NSERC grant 7679. 相似文献
872.
873.
874.
We show that in $\operatorname{PG}(4,2)$ there exist octets $\mathcal{P}
_{8}=\{\pi_{1},\,\ldots\,,\pi_{8}\}$ of planes such that the 28
intersections $\pi_{i}\cap\pi_{j}$ are distinct points. Such
conclaves (see [6]) $\mathcal{P}_{8}$ of planes
in $\operatorname{PG}(4,2)$ are shown to be in bijective correspondence
with those planes $P$ in $\operatorname{PG}(9,2)$ which are external to
the Grassmannian $\mathcal{G}_{1,4,2}$ and which belong to the orbit
$\operatorname{orb}(2\gamma)$ (see [4]). The fact
that, under the action of $\operatorname{GL}(5,2),$ the stabilizer
groups $\mathcal{G}_{\mathcal{P}_{8}}$ and $\mathcal{G}_{P}$ both have
the structure $2^{3}:(7:3)$ is thus illuminated. Starting out from a
regulus-free partial spread $\mathcal{S}_{8}$ in
$\operatorname{PG}(4,2)$ we also give a construction of a conclave of
planes $P\in\operatorname{orb}(2\gamma)\subset\operatorname{PG}(9,2).$ 相似文献
875.
We study convolution operators in Bessel potential spaces and (fractional) Sobolev spaces over a finite interval. The main purpose of the investigation is to find conditions on the convolution kernel or on a Fourier symbol of these operators under which the solutions inherit higher regularity from the data. We provide conditions which ensure the transmission property for the finite interval convolution operators between Bessel potential spaces and Sobolev spaces. These conditions lead to smoothness preserving properties of operators defined in the above-mentioned spaces where the kernel, cokernel and, therefore, indices do not depend on the order of differentiability. In the case of invertibility of the finite interval convolution operator, a representation of its inverse is presented in terms of the canonical factorization of a related Fourier symbol matrix function. 相似文献
876.
877.
The solutions of the Nevanlinna-Pick interpolation problem for generalized Stieltjes matrix functions are parametrized via a fractional linear transformation over a subset of the class of classical Stieltjes functions. The fractional linear transformation of some of these functions may have a pole in one or more of the interpolation points, hence not all Stieltjes functions can serve as a parameter. The set of excluded parameters is characterized in terms of the two related Pick matrices.Dedicated to the memory of M. G. Kreîn 相似文献
878.
Michael Struwe 《manuscripta mathematica》1998,96(4):463-486
Harmonic maps from B
1 (0, ℝ3) to a smooth compact target manifold N with uniformly small scaled energy (see assumption (2) below) are shown to be unique for their boundary values.
Received: 12 May 1997 相似文献
879.
880.
Y. Abe 《Applied Physics A: Materials Science & Processing》1989,48(2):177-180
Time-dependent Hopf bifurcations in the current-voltage characteristics of piezoelectric semiconductor resonators were investigated experimentally. The switching transition between acoustic bistable states was observed under a quasi-static variation of applied voltage. The peculiar pulse responses of the resonant currents were observed when the rise-time of the pulses exceeded the eigen-period of the system. The existence of a metastable state in the dynamical Hopf bifurcation are discussed. 相似文献