Integral transforms and approximation of functions 積分変換と関数近似

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Author

    • 邊, 斗源 ベン, ドケン

Bibliographic Information

Title

Integral transforms and approximation of functions

Other Title

積分変換と関数近似

Author

邊, 斗源

Author(Another name)

ベン, ドケン

University

群馬大学

Types of degree

博士 (工学)

Grant ID

甲第12号

Degree year

1993-03-24

Note and Description

博士論文

Table of Contents

  1. CONTENTS / (0004.jp2)
  2. Introduction / (0006.jp2)
  3. Chapter1.Reproducing kernels / (0009.jp2)
  4. 1.1.Pre-Hilbert space / p7 (0009.jp2)
  5. 1.2.Reproducing kernel Hilbert space / p12 (0012.jp2)
  6. 1.3.Construction of reproducing kernel Hilbert space / p19 (0015.jp2)
  7. Chapter2.Integral transforms on Hilbert spaces / (0019.jp2)
  8. 2.1.General integral transforms / p27 (0019.jp2)
  9. 2.2.Best approximation / p37 (0024.jp2)
  10. Chapter3.Analytic extensions of functions on the real line to entire functions / (0025.jp2)
  11. 3.1.Restriction of F to R / p39 (0025.jp2)
  12. 3.2.Extensibility / p40 (0026.jp2)
  13. 3.3.Representations of extensions / p41 (0026.jp2)
  14. 3.4.Approximation by entire functions / p42 (0027.jp2)
  15. Chapter4.Relationship between the analytic solutions of the heat equation / (0028.jp2)
  16. 4.1.Two results on heat diffusion / p45 (0028.jp2)
  17. 4.2.Proof of Theorem 4.1 / p47 (0029.jp2)
  18. 4.3.Proof of Theorem 4.2 / p48 (0030.jp2)
  19. Chapter5.Isometrical mappings between the Szegö and the Bergman-Selberg spaces / (0031.jp2)
  20. 5.1.Preliminary and isometries / p51 (0031.jp2)
  21. 5.2.Proof of Theorem 5.1 / p53 (0032.jp2)
  22. 5.3.Proof of Theorem 5.2 / p53 (0032.jp2)
  23. 5.4.Proof of Corollary 5.1 / p54 (0033.jp2)
  24. Chapter6.Approximation by the solutions of the heat equations / (0033.jp2)
  25. 6.1.Solution spaces / p55 (0033.jp2)
  26. 6.2.Inequality of Fejér-Riesz type / p56 (0034.jp2)
  27. 6.3.Existence of best approximation / p58 (0035.jp2)
  28. 6.4.Representation of analytic extension / p60 (0036.jp2)
  29. 6.5.Approximation by solutions / p61 (0036.jp2)
  30. 6.6.Representation of passed time / p62 (0037.jp2)
  31. Chapter7.A real inverse formula for the Laplace transform / (0038.jp2)
  32. 7.1.Inverse formula / p65 (0038.jp2)
  33. 7.2.Preliminaries / p66 (0039.jp2)
  34. 7.3.Proof of Theorem 7.1 / p70 (0041.jp2)
  35. Chapter8.Inversions of Hermite semigroup / (0042.jp2)
  36. 8.1.Inverse of [数式] / p73 (0042.jp2)
  37. 8.2.Extension of [数式] for Rc < 0 / p77 (0044.jp2)
  38. References / (0046.jp2)
  39. Index / (0048.jp2)
3access

Codes

  • NII Article ID (NAID)
    500000095241
  • NII Author ID (NRID)
    • 8000000095467
  • DOI(NDL)
  • NDLBibID
    • 000000259555
  • Source
    • NDL ONLINE
    • NDL Digital Collections

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