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Saburou Saitoh
Articles in Scholarly Journals [Incomplete List]
Applications of Tikhonov regularization to inverse problems using reproducing kernels
Journal of Physics: Conference Series, vol. 73, p. 012019, 2007
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
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
Dirichlet principle using computers
Applicable Analysis, vol. 84, no. 10, pp. 989–1003, 2005
Best approximation, Tikhonov regularization and reproducing kernels
Kodai Mathematical Journal, vol. 28, no. 2, pp. 359–367, 2005
Approximate real inversion formulas of the gaussian convolution
Applicable Analysis, vol. 83, no. 7, pp. 727–733, 2004
Numerical solutions of the poisson equation
Applicable Analysis, vol. 83, no. 10, pp. 1037–1051, 2004
Representations of Meromorphic Functions in Terms of Laurent Expansions and Partial Boundary Values
Complex Variables, vol. 47, no. 6, pp. 513–520, 2002
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
Size of support of initial heat distribution in the 1D heat equation
Applicable Analysis, vol. 77, no. 3, pp. 397–403, 2001
Size of support of initial heat distribution in the 1D heat equation
Applicable Analysis, vol. 74, no. 3, pp. 439–446, 2000
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
Error estimates of the real inversion formulas of the laplace transform
Integral Transforms and Special Functions, vol. 10, no. 3, pp. 165–178, 2000
Inverse Problems, vol. 15, no. 5, pp. 1255–1261, 1999
Proceedings of the American Mathematical Society, vol. 125, no. 12, pp. 3633–3640, 1997
Stability of Lipschitz type in determination of initial heat distribution
Journal of Inequalities and Applications, vol. 1, no. 1, pp. 73–83, 1997
One approach to some general integral transforms and its applications
Integral Transforms and Special Functions, vol. 3, no. 1, pp. 49–84, 1995
Approximation by the Solutions of the Heat Equation
Journal of Approximation Theory, vol. 78, no. 2, pp. 226–238, 1994
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
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
Isometrical identities and inverse formulas in the one-dimensional heat equation
Applicable Analysis, vol. 40, no. 2, pp. 139–149, 1991
Analyticity and global existence of small solutions to some nonlinear Schrödinger equations
Communications in Mathematical Physics, vol. 129, no. 1, pp. 27–41, 1990
Quadratic inequalities associated with integrals of reproducing kernels
Linear Algebra and its Applications, vol. 101-140, no. 1, pp. 269–280, 1990
Cauchy integrals forL 2 functions
Archiv der Mathematik, vol. 51, no. 5, pp. 451–454, 1988
A counter example in the Pick-Nevanlinna interpolation problem
Archiv der Mathematik, vol. 51, no. 2, pp. 164–165, 1988
Fourier-Laplace Transforms and the Bergman Spaces
Proceedings of the American Mathematical Society, vol. 102, no. 4, p. 985, 1988
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
Quadratic inequalities deduced from the theory of reproducing kernels
Linear Algebra and its Applications, vol. 93, no. 1, pp. 171–178, 1987
Relation between ultimate boundedness and radially unbounded Liapunov function
Nonlinear Analysis, vol. 10, no. 5, pp. 471–482, 1986
The laplace transform of Lp functions with weights
Applicable Analysis, vol. 22, no. 2, pp. 103–109, 1986
On the convolution of $L_2$ functions
Kodai Mathematical Journal, vol. 9, no. 1, pp. 50–57, 1986
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
Some isometrical identities in the wave equation
International Journal of Mathematics and Mathematical Sciences, vol. 7, no. 1, pp. 117–130, 1984
Hilbert Spaces Induced by Hilbert Space Valued Functions
Proceedings of the American Mathematical Society, vol. 89, no. 1, p. 74, 1983
Positive definite Hermitian matrices and reproducing kernels
Linear Algebra and its Applications, vol. 48, no. 1, pp. 119–130, 1982
Some Inequalities for Entire Functions
Proceedings of the American Mathematical Society, vol. 80, no. 2, p. 254, 1980
Some inequalities for analytic functions with a finite Dirichlet integral on the unit disc
Mathematische Annalen, vol. 246, no. 1, pp. 69–77, 1979
The Dirichlet Norm and the Norm of Szego Type
Transactions of the American Mathematical Society, vol. 254, p. 355, 1979
The Bergman Norm and the Szego Norm
Transactions of the American Mathematical Society, vol. 249, no. 2, p. 261, 1979
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