منابع مشابه
Generating functions and companion symmetric linear functionals
In this contribution we analyze the generating functions for polynomials orthogonal with respect to a symmetric linear functional u, i.e., a linear application in the linear space of polynomials with complex coefficients such that u(x) = 0. In some cases we can deduce explicitly the expression for the generating function P(x,ω) = ∞ ∑
متن کاملRadial and Nonradial Minimizers for Some Radially Symmetric Functionals
In a previous paper we have considered the functional V (u) = 1 2 ∫ RN | grad u(x)| dx+ ∫ RN F (u(x)) dx subject to ∫ RN G(u(x)) dx = λ > 0 , where u(x) = (u1(x), . . . , uK(x)) belongs to H 1 K(R ) = H(R ) × · · · × H(R) (K times) and | grad u(x)| means ∑K i=1 | gradui(x)|. We have shown that, under some technical assumptions and except for a translation in the space variable x, any global min...
متن کاملAlmost multiplicative linear functionals and approximate spectrum
We define a new type of spectrum, called δ-approximate spectrum, of an element a in a complex unital Banach algebra A and show that the δ-approximate spectrum σ_δ (a) of a is compact. The relation between the δ-approximate spectrum and the usual spectrum is investigated. Also an analogue of the classical Gleason-Kahane-Zelazko theorem is established: For each ε>0, there is δ>0 such that if ϕ is...
متن کاملA Note on Linear Functionals
A slight modification of the example given shows that if N is chosen arbitrarily, there exists a limited region* having at least JV distinct points O whose conjugates D lie at infinity.f Theorem III becomes false if in the hypothesis the region R is not assumed limited, for the reader may verify that no point O of the region R has its conjugate at infinity if R is the entire plane slit along th...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2001
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(00)00647-6