Holomorphic functions
Metrizability of spaces of holomorphic functions
... In this paper we prove that if U is an open subset of a metrizable locally convex space E of infinite dimension, the space H(U) of all holomorphic functions on U, endowed with the Nachbin-Coeure topology ...
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Hankel operators between Hardy Orlicz spaces and products of holomorphic functions
... position of Hardy-Orlicz spaces given in [BG], so that this paper can be seen as a continuation of [BG]. Hardy-Orlicz spaces appear as a natural context for these questions of products of holomorphic ...
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On parametric Gevrey asymptotics for some nonlinear initial value Cauchy problems
... bounded holomorphic functions on T × D(0, δ) (for some δ > 0 small enough) equipped with the sup ...actual holomorphic solutions X p (t, z, ) of (3), (4) on E p as F −valued functions, for ...
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The spaces of analytic functions on open subsets of RN and CN
... The reader is referred to the article of Bochnak and Siciak [7] for the definitions and main properties of polynomials and analytic functions on locally convex spaces. For a deep study of the TO and the Tg ...
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On multiscale Gevrey and q Gevrey asymptotics for some linear q difference differential initial value Cauchy problems
... bounded holomorphic functions on the product of a bounded sector and a strip that formally solves our main equation (62) and which grants a common q−Gevrey asymptotic expansion of some order 1/κ of the ...
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HIPERBOLOIDE
... for holomorphic functions on the hyperboloid (or its stereographic projection onto the open unit disk D 1 ), seen as a homogeneous space of the pseudo-unitary group SU(1, ...bandlimited functions, ...
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Factoring analytic multivariate polynomials and non standard Cauchy Riemann conditions
... other functions (several variables, germs of holomorphic functions at a point, entire functions), all of them having in common being elements of rings with some factorization ...
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Hypergeometric functions and binomials
... viewed as functions of the coefficients, are algebraic solutions to the associated A- hypergeometric system [Ma37, Bir27, Stu00, CDD99, PT04]. In particular, any solution to this A-hypergeometric system has a ...
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Applications of rigged Hilbert spaces in quantum mechanics and signal processing
... bases for spaces of solutions were constructed with eigenvectors of Hermitian operators defining the observables of a quantum system. In this context, the same space could had both discrete and continuous bases. At the ...
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Identities For Homogeneous Utility Functions
... value functions (indirect utility and expenditure functions) and optimizers (Marshallian and Hicksian demand ...value functions in order to get a new one means that these identities are intensive in ...
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Characterizing quasi metric aggregation functions
... In Pradera et al. (2000, 2002), necessary conditions on a function F to be an n-metric aggregation function were proved (actually such conditions were provided for pseudo- metrics, although we just focus on the metric ...
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Mathematical methods in atomic physics = Métodos matemáticos en física atómica
... Quasi-Sturmian functions to describe the hyperradial part of the scattering solution, while the angular part was dealt with Jacobi ...variable functions include a coupling of its variables, a coupling that ...
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Holographic correlation functions in Critical Gravity
... Abstract: We compute the holographic stress tensor and the logarithmic energy- momentum tensor of Einstein-Weyl gravity at the critical point. This computation is carried out performing a holographic expansion in a bulk ...
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Comparing Cost Functions in Resource Analysis
... Cost analysis [12,6] aims at statically predicting the resource consumption of programs. Given a program, cost analysis produces a cost function which ap- proximates the resource consumption of the program in terms of ...
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On the characterization of convex functions
... convex functions, is given by conclusion (4) of theorem 3 if condition (5) is fulfilled: differentiation is a one to one mapping from convex functions to non-decreasing ...convex functions satisfy a ...
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Recurrence relations for discrete hypergeometric functions.
... functions. In fact, for the case of classical polynomials of Jacobi, Laguerre, Hermite and Bessel, the corresponding Lemma [23, page 14] has been ex- tensively used for deriving several recurrences relations and ...
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Digitally continuous multivalued functions
... Remark 5. It is easy to see that for N (p) ∩ X as in Remark 4, although p is 4-simple and 8-simple, any single-valued function f : X −→ X \ { p } , such that f (x) = x if x = p, can not be 4-continuous neither ...
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Injectivity criteria for holomorphic curves in Cn
... It was very surprising, to us at least, that such similar statements hold in these two different settings. Comparing (6) and (7) the most visible difference is in the multiple of the curvature terms, 3/4 in the former ...
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Lamé system solution by holomorphic expansion
... of Holomorphic xpansions developed in [ 6 ] for systems of equations linear partial differential of order two in several variables to the solution of the elastic problem in three dimensions known like of the ...
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