Saburou Saitoh

Articles in Scholarly Journals [Incomplete List]

  1. Applications of Tikhonov regularization to inverse problems using reproducing kernels
    Journal of Physics: Conference Series, vol. 73, p. 012019, 2007
  2. Analytical and numerical inversion formulas in the Gaussian convolution by using the Paley–Wiener spaces
    Applicable Analysis, vol. 85, no. 8, pp. 901–915, 2006
  3. Approximate and analytical inversion formulas in heat conduction on multidimensional spaces
    Journal of Inverse and Ill-Posed Problems, vol. 13, no. 5, pp. 479–493, 2005
  4. Dirichlet principle using computers
    Applicable Analysis, vol. 84, no. 10, pp. 989–1003, 2005
  5. Best approximation, Tikhonov regularization and reproducing kernels
    Kodai Mathematical Journal, vol. 28, no. 2, pp. 359–367, 2005
  6. Approximate real inversion formulas of the gaussian convolution
    Applicable Analysis, vol. 83, no. 7, pp. 727–733, 2004
  7. Numerical solutions of the poisson equation
    Applicable Analysis, vol. 83, no. 10, pp. 1037–1051, 2004
  8. Representations of Meromorphic Functions in Terms of Laurent Expansions and Partial Boundary Values
    Complex Variables, vol. 47, no. 6, pp. 513–520, 2002
  9. Inversion formulas for the reznitskaya transform and stability of lipschitz type in determination of initial heat distribution
    Applicable Analysis, vol. 77, no. 3, pp. 343–350, 2001
  10. Size of support of initial heat distribution in the 1D heat equation
    Applicable Analysis, vol. 77, no. 3, pp. 397–403, 2001
  11. Size of support of initial heat distribution in the 1D heat equation
    Applicable Analysis, vol. 74, no. 3, pp. 439–446, 2000
  12. Representations of the solutions of partial differential equations of parabolic and hyperbolic types by means of time observations
    Applicable Analysis, vol. 76, no. 3, pp. 283–289, 2000
  13. Error estimates of the real inversion formulas of the laplace transform
    Integral Transforms and Special Functions, vol. 10, no. 3, pp. 165–178, 2000
  14. Inverse Problems, vol. 15, no. 5, pp. 1255–1261, 1999
  15. Proceedings of the American Mathematical Society, vol. 125, no. 12, pp. 3633–3640, 1997
  16. Stability of Lipschitz type in determination of initial heat distribution
    Journal of Inequalities and Applications, vol. 1, no. 1, pp. 73–83, 1997
  17. One approach to some general integral transforms and its applications
    Integral Transforms and Special Functions, vol. 3, no. 1, pp. 49–84, 1995
  18. Approximation by the Solutions of the Heat Equation
    Journal of Approximation Theory, vol. 78, no. 2, pp. 226–238, 1994
  19. Inequalities in the Most Simple Sobolev Space and Convolutions of L 2 Functions with Weights
    Proceedings of the American Mathematical Society, vol. 118, no. 2, p. 515, 1993
  20. Analytical extensions of the members of the Bergman and Szeg? spaces on some tube domains
    Archiv der Mathematik, vol. 56, no. 4, pp. 362–369, 1991
  21. Isometrical identities and inverse formulas in the one-dimensional heat equation
    Applicable Analysis, vol. 40, no. 2, pp. 139–149, 1991
  22. Analyticity and global existence of small solutions to some nonlinear Schrödinger equations
    Communications in Mathematical Physics, vol. 129, no. 1, pp. 27–41, 1990
  23. Quadratic inequalities associated with integrals of reproducing kernels
    Linear Algebra and its Applications, vol. 101-140, no. 1, pp. 269–280, 1990
  24. Cauchy integrals forL 2 functions
    Archiv der Mathematik, vol. 51, no. 5, pp. 451–454, 1988
  25. A counter example in the Pick-Nevanlinna interpolation problem
    Archiv der Mathematik, vol. 51, no. 2, pp. 164–165, 1988
  26. Fourier-Laplace Transforms and the Bergman Spaces
    Proceedings of the American Mathematical Society, vol. 102, no. 4, p. 985, 1988
  27. Generalizations of Paley-Wiener's Theorem for Entire Functions of Exponential Type
    Proceedings of the American Mathematical Society, vol. 99, no. 3, p. 465, 1987
  28. Quadratic inequalities deduced from the theory of reproducing kernels
    Linear Algebra and its Applications, vol. 93, no. 1, pp. 171–178, 1987
  29. Relation between ultimate boundedness and radially unbounded Liapunov function
    Nonlinear Analysis, vol. 10, no. 5, pp. 471–482, 1986
  30. The laplace transform of Lp functions with weights
    Applicable Analysis, vol. 22, no. 2, pp. 103–109, 1986
  31. On the convolution of $L_2$ functions
    Kodai Mathematical Journal, vol. 9, no. 1, pp. 50–57, 1986
  32. A Fundamental Inequality in the Convolution of L 2 Functions on the Half Line
    Proceedings of the American Mathematical Society, vol. 91, no. 2, p. 285, 1984
  33. Some isometrical identities in the wave equation
    International Journal of Mathematics and Mathematical Sciences, vol. 7, no. 1, pp. 117–130, 1984
  34. Hilbert Spaces Induced by Hilbert Space Valued Functions
    Proceedings of the American Mathematical Society, vol. 89, no. 1, p. 74, 1983
  35. Positive definite Hermitian matrices and reproducing kernels
    Linear Algebra and its Applications, vol. 48, no. 1, pp. 119–130, 1982
  36. Some Inequalities for Entire Functions
    Proceedings of the American Mathematical Society, vol. 80, no. 2, p. 254, 1980
  37. Some inequalities for analytic functions with a finite Dirichlet integral on the unit disc
    Mathematische Annalen, vol. 246, no. 1, pp. 69–77, 1979
  38. The Dirichlet Norm and the Norm of Szego Type
    Transactions of the American Mathematical Society, vol. 254, p. 355, 1979
  39. The Bergman Norm and the Szego Norm
    Transactions of the American Mathematical Society, vol. 249, no. 2, p. 261, 1979
  40. Approximation of the Bergman Norm by the Norms of the Direct Product of Two Szego Spaces
    Proceedings of the American Mathematical Society, vol. 75, no. 2, p. 226, 1979