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THE CHU CONSTRUCTION
, 1996
"... We take another look at the Chu construction and show how to simplify it by looking at ..."
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Cited by 12 (1 self)
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We take another look at the Chu construction and show how to simplify it by looking at
Laguerre entire functions and related locally convex spaces
 Complex Variables Theory Appl
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A GENERALIZED SECOND ORDER FRAME BUNDLE FOR FRÉCHET MANIFOLDS
"... Abstract. Working within the framework of Fréchet modelled infinite dimensional manifolds, we propose a generalized notion of second order frame bundle. We revise in this way the classical notion of bundles of linear frames of order two, the direct definition and study of which is problematic due to ..."
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Cited by 6 (5 self)
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Abstract. Working within the framework of Fréchet modelled infinite dimensional manifolds, we propose a generalized notion of second order frame bundle. We revise in this way the classical notion of bundles of linear frames of order two, the direct definition and study of which is problematic due to intrinsic difficulties of the space models. However, this new structure keeps all the fundamental characteristics of a frame bundle: It is a principal Fréchet bundle associated (differentially and geometrically) with the corresponding second order tangent bundle.
A Characterization Of ConvexityPreserving Maps From A Subset Of A Vector Space Into Another Vector Space
 J. London Math. Soc
, 1998
"... Let V and X be Hausdorff, locally convex, real, topological vector spaces with dimV ? 1. We show that a map oe from an open, connected subset of V onto an open subset of X is homeomorphic and convexitypreserving if and only if oe is projective. 1. Introduction The motivation for this paper is the ..."
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Let V and X be Hausdorff, locally convex, real, topological vector spaces with dimV ? 1. We show that a map oe from an open, connected subset of V onto an open subset of X is homeomorphic and convexitypreserving if and only if oe is projective. 1. Introduction The motivation for this paper is the role that certain projective maps play in the derivations of the wellpublicized algorithm of Karmarkar [7] (see also [6] and many references contained therein) for linear programming, and in the equally innovative but less well known class of algorithms of Davidon [3, 4, 5] for minimization of smooth nonlinear functions of several variables. Ariyawansa, Davidon and McKennon [1] examine the specific projective maps used in the derivations of the algorithms of Karmarkar [7] and Davidon [3, 4, 5]. They argue that as a consequence of the characterization of projective maps presented in this paper, projective maps are perhaps the only maps that are likely to be useful in the setting in which pr...
A CoordinateFree Foundation For Projective Spaces Treating Projective Maps From A Subset Of A Vector Space Into Another Vector Space
 Washington State University
, 1999
"... this paper was the problem of determining which maps on subsets of (not necessarily finite dimensional) vector spaces were "projective ". In view of the development of x2 through x4, the setting of this problem can be reduced to a function oe which is defined on a subset of a standard vector space V ..."
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this paper was the problem of determining which maps on subsets of (not necessarily finite dimensional) vector spaces were "projective ". In view of the development of x2 through x4, the setting of this problem can be reduced to a function oe which is defined on a subset of a standard vector space V of P , and which has a standard vector subspace X of another projective space R as its range. If such a function oe is the restriction of a projective isomorphism from P to R, it turns out that it must be the quotient of an affine map of V into X with an affine functional of V into F. A partial converse holds for a class of A FOUNDATION FOR PROJECTIVE SPACES AND PROJECTIVE MAPS 3 linear spaces which includes all locally convex spaces and finite dimensional vector spaces. These matters are treated in x5.
SOME COMMENTS ON THE RHS FORMULATION OF RESONANCE SCATTERING.
, 2008
"... We discuss the validity of a formula concerning a relation between functionals in quantum resonance scattering, which is often used in the current literature. 1 Introduction. This paper is a contribution to the theory of resonance scattering in which we discuss the validity of some formulas and conc ..."
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We discuss the validity of a formula concerning a relation between functionals in quantum resonance scattering, which is often used in the current literature. 1 Introduction. This paper is a contribution to the theory of resonance scattering in which we discuss the validity of some formulas and concepts that appear in the current literature. This kind of formulas are usually derived formally and used directly. Thus, an interpreation of them from the point of view of mathematical rigor is