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AbstractAbstract
[en] Central in the paper are two results on the existence of 'economical' embeddings in a Euclidean space. The first result (Corollary 1.4) states the existence of an embedding with image intersecting the large-dimensional planes in sets of 'controllable' dimension. The second result (Corollary 1.6) proves the existence of maps such that each small-dimensional plane contains 'controllably' many points of the image. Well known results of Noebeling-Pontryagin, Roberts, Hurewicz, Boltyanskii, and Goodsell can be obtained as consequences of these results. Their infinite-dimensional version concerning an embedding in a Hilbert space is also established (Theorem 1.8).
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Available from http://dx.doi.org/10.1070/SM2005v196n11ABEH003722; Country of input: International Atomic Energy Agency (IAEA)
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Sbornik. Mathematics; ISSN 1064-5616;
; v. 196(11); p. 1585-1603

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AbstractAbstract
[en] Superluminal behavior has been extensively studied in recent years, especially with regard to the topic of superluminality in the propagation of a signal. Particular interest has been devoted to Bessel-X waves propagation, since some experimental results showed that these waves have both phase and group velocities greater that light velocity c. However, because of the lack of an exact definition of signal velocity, no definite answer about the signal propagation (or velocity of information) has been found. The present Letter is a short note that deals in a general way with this vexed question. By analyzing the field of existence of the Bessel X-pulse in pseudo-Euclidean spacetime, it is possible to give a general description of the propagation, and to overcome the specific question related to a definition of signal velocity
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S0375-9601(06)01963-3; Copyright (c) 2006 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
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[en] Let Csup(n) be a complex euclidean space. A bounded open connected subset D of Csup(n) is called a bounded domain. Bounded homogeneous domains in Csup(n) are studied. Contents: bounded homogeneous domains; j-Lie algebras; Siegel domains; s-structure on a bounded domain. (author)
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International Centre for Theoretical Physics, Trieste (Italy); v. 3 p. 253-258; ISBN 92-0-130576-1;
; 1976; IAEA; Vienna; International seminar course on complex analysis and its applications; Trieste, Italy; 21 May - 8 Aug 1975; IAEA-SMR--18/61

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AbstractAbstract
[en] The one dimensional, linear, half space, abstract transport equation with an accretive, invertible collision operator is shown to be uniquely solvable. An example from multigroup neutron transport is given
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AbstractAbstract
[en] The author studies completeness of the wave operators between pairs of spaces not using the subspace of absolute continuity. Rather he works with the orthogonal complement of the eigenvectors, a subspace which is more natural from the viewpoint of physics. Moreover, he also gives sufficient conditions that the singular continuous spectrum be absent. In this case the subspaces mentioned above coincide. (Auth.)
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Letters in Mathematical Physics; ISSN 0377-9017;
; v. 3(6); p. 521-531

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[en] A plausible explanation is given to the 'strange' result that the ground state stochastic process associated to a free scalar field via Nelson's stochastic quantization method coincides with the euclidean Markov field. It is also shown that a positive temperature extension consistent with this result and that of Davidson can be carried out. (author)
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[en] A non-Hermitian momentum-space representation of functions of a manifold (curved space) isomorphic to Rn is constructed out of pure plane waves. We prove the covariance of the coordinate- and momentum-space representations. We give the momentum-space representation of the trace of operators. In interacting field theory this representation enables us to calculate the part of the effective action that encodes local properties of a general curved space. Thus the trace anomaly and the beta function can be evaluated. An explicit calculation is displayed at one loop for a scalar field coupled to gravity. In flat space the formalism applies to Cartesian and curvilinear coordinates. Application to the study of the stability of the vacuum of a field theory in curved space is possible
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[en] In the present paper, we prove that the family of exponentials associated to the eigenvalues of the perturbed operator T(ε) ≔ T0 + εT1 + ε2T2 + … + εkTk + … forms a Riesz basis in L2(0, T), T > 0, where ε∈C, T0 is a closed densely defined linear operator on a separable Hilbert space H with domain D(T0) having isolated eigenvalues with multiplicity one, while T1, T2, … are linear operators on H having the same domain D⊃D(T0) and satisfying a specific growing inequality. After that, we generalize this result using a H-Lipschitz function. As application, we consider a non-selfadjoint problem deduced from a perturbation method for sound radiation
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(c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
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[en] We consider warped products of Riemannian manifolds and some special cases. We give a classification for a class of normally flat Ric-semiparallel submanifolds in Euclidean spaces
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Available from http://dx.doi.org/10.1070/IM2003v067n05ABEH000453; Country of input: International Atomic Energy Agency (IAEA)
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Izvestiya. Mathematics; ISSN 1064-5632;
; v. 67(5); p. 955-973

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Felix, Patricio; Dahia, F.
Proceedings of the 23. EFNNE: Meeting of the North and Northeast physicists2005
Proceedings of the 23. EFNNE: Meeting of the North and Northeast physicists2005
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No abstract available
Original Title
Sistema de coordenadas associado a observadores brevemente acelerados no espaco-tempo de Minkowski
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Sociedade Brasileira de Fisica, Sao Paulo, SP (Brazil); 206 p; 2005; p. 19; 23. EFNNE: Meeting of the North and Northeast physicists; Maceio, AL (Brazil); 31 Oct - 4 Nov 2005
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