منابع مشابه
Spectral Duality for Planar Billiards
ao -d yn /9 40 50 01 2 M ay 1 99 4 Spectral Duality for Planar Billiards J.-P. Eckmann1;2 and C.-A. Pillet1 Dépt. de Physique Théorique, Université de Genève, CH-1211 Genève 4, Switzerland Section de Mathématiques, Université de Genève, CH-1211 Genève 4, Switzerland Abstract. For a bounded open domain with connected complement in R2 and piecewise smooth boundary, we consider the Dirichlet Lapla...
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In this paper we are interested in spectral decomposition of an unbounded operator with discrete spectrum. We show that if A generates a polynomially bounded n-times integrated group whose spectrum set σ(A) = {iλk; k ∈ Z} is discrete and satisfies ∑ 1 |λk|δ k < ∞ (n and l nonnegative integers), then there exists projectors (Pk)k∈Z∗ such that ∑ Pkx = x (x ∈ D(A)), where δk = min ( |λk+1−λk| 2 , ...
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Introduction The nature of near-field earthquake records is very complicated and uncertain. Due to this complexity, the prediction of the real structural responses has become very difficult. Based on the analysis of the physical characteristics of near-field records, it is possible to use the simplified mathematical models. Near-field ground motions which are often associated with a progressiv...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1976
ISSN: 0019-2082
DOI: 10.1215/ijm/1256049901