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Representation of Solutions of Fredholm Equations in W²₂(Ω)of Reproducing Kernels

이정곤|이동명|Ming-Gen Cui
한국수학교육학회|2004.05|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제11권 제2호|pp. 133-138

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Abstract

In this paper we derive a decomposition of the solution of Fredholm equations of the second kind in terms of reproducing kernels in the space W²₂(Ω)

참고문헌 (8)

  1. Amer, "Theory of reproducing kernels", pp.~14 (1950)
  2. Benedetto, "Gabor frames for L2 and related spaces" (1994), CRC Press
  3. Cui, "On the best operator of interpolation in W1"
  4. Cui, "Analytic solutions to Fredholm integral equationsof the second kind" (1989), Chinese Univ
  5. M. G. Cui,, "Fourier Transforms and Wavelet Analysis" (2001), KyungMoon Press
  6. D. M. Lee,, "A construction of multiresolution analysis by integralequations", 130(12), pp.3555~3563 (2002)
  7. Lee, "Representation of integral operators on W22"
  8. Longman Scienti, "Theory of reproducing kernels and its applications copublished in the United States with John Wiley & Sons" (1988), Inc

관련 논문AI추천

Fredholm Type Integral Equations and Certain PolynomialsA. S. Shekhawat, V. B. L. Chaurasia경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2005 · 제45권 제4호Solution to some singular integro-differential equations II？F. Seifeddine, J. N. Pandey장전수학회 · Advanced Studies in Contemporary Mathematics2006 · 제13권 제1호Algebraic kernel functions and representation of planar domains정문자, Masahiko Taniguchi대한수학회 · 대한수학회지2003 · 제40권 제3호A Note on the Solution of a Nonlinear Singular Integral Equation with a Shift in Generalized H？older SpaceIoannis K. Argyros한국수학교육학회 · 이론수학과 교직수학2007 · 제14권 제4호Solving singular nonlinear two-point boundary value problems in the reproducing kernel spaceFazhan Geng, Minggen Cui대한수학회 · 대한수학회지2008 · 제45권 제3호A NUMERICAL ALGORITHM FOR SINGULAR MULTI-POINT BVPS USING THE REPRODUCING KERNEL METHODYingzhen Lin, Yuntao Jia한국수학교육학회 · 이론수학과 교직수학2014 · 제21권 제1호

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