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GENERALIZED EXPANSIONS IN HILBERT SPACE 被引量:3

GENERALIZED EXPANSIONS IN HILBERT SPACE
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摘要 In this paper the authors give a definite meaning to any formal trigonometrical series and generalize it to all abstract Hilbert space. Then in the case L-2(-infinity + infinity) they discussed extensively the generalized expansion problem by Hermite functions, and applied to a non-strictly nonlinear hyperbolic system. In this paper the authors give a definite meaning to any formal trigonometrical series and generalize it to all abstract Hilbert space. Then in the case L-2(-infinity + infinity) they discussed extensively the generalized expansion problem by Hermite functions, and applied to a non-strictly nonlinear hyperbolic system.
出处 《Acta Mathematica Scientia》 SCIE CSCD 1999年第3期241-250,共10页 数学物理学报(B辑英文版)
关键词 generalized expansion Hilbert space Hermite functions hyperbolic system generalized expansion Hilbert space Hermite functions hyperbolic system
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同被引文献7

  • 1丁夏畦,罗佩珠.WEAK CONVERGENCE OF SOME SERIES[J].Acta Mathematica Scientia,2000,20(4):433-441. 被引量:1
  • 2丁夏畦,罗佩珠.GENERALIZED WEAK FUNCTIONS[J].Acta Mathematica Scientia,2004,24(4):691-697. 被引量:1
  • 3Titchmarsh,E. C. Introduction to the theory of Fourier integrals . 1948
  • 4Bateman,H.,Erdélyi,A. Higher Transcendental Functions . 1953
  • 5Chen N,Rong E.Unified solution of the inverse capacity problem[].Physical Review I.1998
  • 6Titchmarsh E.The Theory of the Riemann Zeta-function[].Oxford.1951
  • 7Titchmarsh E C.The Theory of Functions[].Oxford.1932

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