GENERALIZED EXPANSIONS IN HILBERT SPACE |
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Authors: | Ding Xiaqi Luo Peizhu |
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Institution: | 1. Centre for Risk Research, Southampton Business School, University of Southampton, Highfield, Southampton SO17 1BJ, United Kingdom;2. Strathclyde Business School, University of Strathclyde, 199 Cathedral St, Glasgow G4 0QU, Scotland, United Kingdom |
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Abstract: | In this paper the authors give a definite meaning to any formal trigonometrical series and generalize it to an abstract Hilbert space. Then in the case L2(−∞, +∞) they discussed extensively the generalized expansion problem by Hermite functions, and applied to a non-strictly nonlinear hyperbolic system. |
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Keywords: | Generalized expansion Hilbert space Hermite functions hyperbolic system |
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