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81.
George Voutsadakis 《Rendiconti del Circolo Matematico di Palermo》2005,54(1):50-70
Jon Barwise and Jerry Seligman introduced the category of classifications and infomorphisms to model information theoretical
concepts and information flow processes. This is the dual category of the category of Chu spaces introduced by Michael Barr
and Peter Chu and studied extensively by Vaughan Pratt, Gordon Plotkin and others at Stanford. It is also very closely related
to the theory of institutions introduced in a different context by Joseph Goguen and Rod Burstall. Here some aspects of the
theory are reviewed and some adjunctions between the category of classifications and other related categories are studied
from a more abstract point of view. 相似文献
82.
Following the pressure of Hermite in 1865 and Heine in 1868, the name of Rodrigues was definitively associated to his famous representation given in 1815. In this paper, we precise the contribution of Rodrigues, proving that his formula not only generates the Legendre polynomials, but also special Gegenbauer polynomials and even the corresponding second kind functions, which are never mentioned. The links with Hildebrandt polynomials and with the Bell polynomials are also briefly examined. 相似文献
83.
Bent planar waveguides are conformally mapped into straight figures with equivalent index profile. Airy functions of traveling-wave form are introduced to express the radiation mode in the outer cladding region. Calculation results of radiation loss are confirmed to give excellent accuracy. 相似文献
84.
Franciszek Prus-Wi?niowski 《Journal of Mathematical Analysis and Applications》2008,344(1):274-291
The Shao-Sablin index of a Λ-sequence Λ=(λi) is defined by . The main result of the paper states that the Banach space CΛBV of continuous functions of bounded Λ-variation with the standard Λ-variation norm is separable if and only if SΛ<2. Also, ΛBV=ΛBVc if and only if SΛ<2, where ΛBVc denotes the space of functions continuous in Λ-variation. A number of corollaries is drawn, and one of them being that the Garsia-Sawyer class GS is a dense subset of the Banach space HBV of functions of bounded harmonic variation. 相似文献
85.
The authors provide a relaxation result in BV×Lq, 1≤q<+∞ as the first step towards the analysis of thermochemical equilibria. 相似文献
86.
《复变函数与椭圆型方程》2012,57(11):897-908
Let H be the open upper half-plane, and H its closure. If ? is a non-constant transcendental entire function of exponential type such that |?(x)| ≥ μ > 0 on the real axis, then it may happen that |?(z)| is not greater than μ anywhere in H even if ?(z) in H. We show that if ? is an entire function of exponential type not vanishing in H such that inf x∈?|?(x)| = μ > 0, then inf z∈ H |?(z)| = μ if and only if h? (π/2) := lim sup y →∞y ? log|?(iy) ≥ 0, and that |?(z)| = mu for some z ∈ H only if ? is a constant. This result, which can be seen as a ‘minimum modulus principle’ for entire functions of exponential type not vanishing in a half-plane, helps us to obtain generalizations of two inequalities of Boas, and one of Turán. 相似文献
87.
《复变函数与椭圆型方程》2012,57(4):283-292
We study some differential inequalities in the unit disc which imply starlikeness: for example if ? (z) = z + Σ∞ n=2 an (?)zn is analytic in D = {z | |z| < 1} and |z(?′′(z) ? 1)| ≤ 1 ? α, z?D for some α ] [0, 1), then ? is one-to-one on D and ? (D) is a starlike domain with respect to the origin. 相似文献
88.
《复变函数与椭圆型方程》2012,57(7):615-623
In this paper we introduce a tangential form of the trace condition for pluriharmonic functions on a smooth bounded domain in Cn that has some convexity. The condition obtained, in the bidimensional case, is related to the complex components of quaternionic regular functions. In the case of the unit ball of Cn, we rewrite the trace condition in terms of spherical harmonics. 相似文献
89.
《复变函数与椭圆型方程》2012,57(11):969-979
It is shown that a domain in C N with piecewise smooth boundary (and also of some more general shape) is a domain of holomorphy, provided the Levi form at every regular point is positively semidefinite and the tangent cone is convex at every point outside a boundary subset of zero Hausdorff (2N-2)-dimensional measure. 相似文献
90.
《复变函数与椭圆型方程》2012,57(9):787-802
The well-known Jacobi elliptic functions sn(z), cn(z), dn(z) are defined in higher dimensional spaces by the following method. Consider the Clifford algebra of the antieuclidean vector space of dimension 2m + 1. Let x be the identity mapping on the space of scalars + vectors. The holomorphic Cliffordian functions may be viewed roughly as generated by the powers of x, namely xn , their derivatives, their sums, their limits (cf: zn for classical holomorphic functions). In that context it is possible to define the same type of functions as Jacobi's. 相似文献