## Saitoh, Saburou

Compute Distance To:
 Author ID: saitoh.saburou Published as: Saitoh, Saburou; Saitoh, S.; Saitoh, Sabourou; Saitoh, Sabrou; Saitoh, Saburo more...less External Links: ResearchGate · GND
 Documents Indexed: 183 Publications since 1972, including 3 Books 8 Contributions as Editor Biographic References: 2 Publications Co-Authors: 62 Co-Authors with 101 Joint Publications 1,915 Co-Co-Authors
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### Co-Authors

 87 single-authored 23 Pinheiro de Castro, Luís Filipe 22 Matsuura, Tsutomu 11 Fujiwara, Hiroshi 11 Yamamoto, Masahiro 9 Sawano, Yoshihiro 8 Vu Kim Tuan 7 Yamada, Masato 6 Asaduzzaman, Md. 6 Hayashi, Nakao 5 Syarif, Admi 4 Byun, Du-Won 4 Nakamura, Gen 4 Yamada, Akira 3 Aikawa, Hiroaki 3 Nguyen Minh Tuan 3 Ohsawa, Takeo 3 Tada, Takeo 2 Al-Shuaibi, Abdulaziz 2 Amano, Kazuo 2 Okumura, Hiroshi 2 Rojas, Edixon Manuel 2 Saigo, Megumi 2 Silva, Anabela Sousa 2 Trong, Dang Duc 1 Alpay, Daniel Aron 1 Amano, Kaname 1 Asachuzzaman, M. 1 Ball, Joseph Anthony 1 Butzer, Paul Leo 1 Edmunds, David Eric 1 Ferreira, Paulo Jorge S. G. 1 Haque, Md. Rabiul 1 Hara, Tadayuki 1 Higgins, John Rowland 1 Iwamura, Kakuzo 1 Jain, Pankaj 1 Jain, Pawan Kumar 1 Kufner, Alois 1 Kumahara, Keisaku 1 Kuroda, Masao 1 Michiwaki, Hiroshi 1 Mori, Masatake 1 Murshed, Muhammad Masum 1 Onda, Isao 1 Ooura, Takuya 1 Persson, Lars-Erik 1 Qian, Tao 1 Rassias, John Michael 1 Rassias, Themistocles Michael 1 Sakanishi, Akio 1 Schmeisser, Gerhard 1 Seo, Jin Keun 1 Simões, Alberto M. 1 Stens, Rudolf L. 1 Sugihara, Masaaki 1 Takahashi, Yasuji 1 Takahasi, Sin-Ei 1 Tuan, Phan Duc 1 Uchida, Keitaroh 1 Uehara, Masahiro 1 Yamane, Masami 1 Yoneyama, Toshiaki
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### Serials

 18 Applicable Analysis 8 Proceedings of the American Mathematical Society 8 Complex Variables. Theory and Application 8 RIMS Kokyuroku 6 Journal of Analysis and Applications 6 Complex Analysis and Operator Theory 5 JIPAM. Journal of Inequalities in Pure & Applied Mathematics 4 Pacific Journal of Mathematics 3 Archiv der Mathematik 3 Zeitschrift für Analysis und ihre Anwendungen 3 Linear Algebra and its Applications 3 Mathematical Inequalities & Applications 3 Far East Journal of Mathematical Sciences 3 International Journal of Applied Mathematics 3 International Journal of Mathematical Sciences 2 Kodai Mathematical Journal 2 Matematički Vesnik 2 Transactions of the American Mathematical Society 2 Riazi. The Journal of Karachi Mathematical Association 2 Panamerican Mathematical Journal 2 Journal of Inverse and Ill-Posed Problems 2 Integral Transforms and Special Functions 2 Forum Geometricorum 2 Journal of Computational Mathematics and Optimization 2 Kodai Mathematical Seminar Reports 1 Communications in Mathematical Physics 1 Houston Journal of Mathematics 1 Inverse Problems 1 Journal d’Analyse Mathématique 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Approximation Theory 1 Journal of the Mathematical Society of Japan 1 Mathematische Annalen 1 Mathematica Japonica 1 Proceedings of the Japan Academy. Series A 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Mathematica Montisnigri 1 Opuscula Mathematica 1 The Journal of Fourier Analysis and Applications 1 Journal of Inequalities and Applications 1 Fractional Calculus & Applied Analysis 1 Analysis (München) 1 Communications of the Korean Mathematical Society 1 Scientiae Mathematicae Japonicae 1 Analysis and Applications (Singapore) 1 The Australian Journal of Mathematical Analysis and Applications 1 Journal of Concrete and Applicable Mathematics 1 Cubo 1 Carpathian Journal of Mathematics 1 International Journal of Applied Mathematics and Statistics 1 Chapman & Hall/CRC Research Notes in Mathematics 1 Developments in Mathematics 1 Far East Journal of Mathematical Education 1 Mathematics in Engineering, Science and Aerospace MESA 1 Annals of Functional Analysis 1 Libertas Mathematica. New Series 1 Nonlinear Analysis. Theory, Methods & Applications
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### Fields

 72 Functions of a complex variable (30-XX) 69 Functional analysis (46-XX) 57 Integral transforms, operational calculus (44-XX) 51 Partial differential equations (35-XX) 32 Operator theory (47-XX) 29 Numerical analysis (65-XX) 16 Integral equations (45-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 14 Several complex variables and analytic spaces (32-XX) 12 Real functions (26-XX) 11 Potential theory (31-XX) 11 Ordinary differential equations (34-XX) 10 Approximations and expansions (41-XX) 9 General and overarching topics; collections (00-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 3 Geometry (51-XX) 3 Computer science (68-XX) 2 History and biography (01-XX) 2 Statistics (62-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-XX) 1 Special functions (33-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX)

### Citations contained in zbMATH Open

108 Publications have been cited 730 times in 413 Documents Cited by Year
Theory of reproducing kernels and its applications. Zbl 0652.30003
Saitoh, Saburou
1988
Integral transforms, reproducing kernels and their applications. Zbl 0891.44001
Saitoh, S.
1997
Theory of reproducing kernels and applications. Zbl 1358.46004
Saitoh, Saburou; Sawano, Yoshihiro
2016
Approximate real inversion formulas of the Gaussian convolution. Zbl 1070.44002
Saitoh, S.
2004
The Weierstrass transform and an isometry in the heat equation. Zbl 0526.44002
Saitoh, S.
1983
Hilbert spaces induced by Hilbert space valued functions. Zbl 0595.46026
Saitoh, Saburou
1983
Analyticity and smoothing effect for the Schrödinger equation. Zbl 0731.35047
Hayashi, Nakao; Saitoh, Saburou
1990
Approximate and analytical inversion formulas in heat conduction on multidimensional spaces. Zbl 1095.35072
Matsuura, T.; Saitoh, S.; Trong, D. D.
2005
Best approximation, Tikhonov regularization and reproducing kernels. Zbl 1087.65053
Saitoh, Saburou
2005
Analyticity and global existence of small solutions to some nonlinear Schrödinger equations. Zbl 0705.35132
Hayashi, Nakao; Saitoh, Saburou
1990
Reverse convolution inequalities and applications to inverse heat source problems. Zbl 1029.44002
Saitoh, Saburou; Tuan, Vu Kim; Yamamoto, Masahiro
2002
Integral transforms in Hilbert spaces. Zbl 0513.44002
Saitoh, Saburou
1982
The Bergman norm and the Szegö norm. Zbl 0357.30008
Saitoh, Saburou
1979
Analytical and numerical inversion formulas in the Gaussian convolution by using the Paley-Wiener spaces. Zbl 1101.65116
Matsuura, T.; Saitoh, S.
2006
Interpolation and sampling: E. T. Whittaker, K. Ogura and their followers. Zbl 1213.94027
Butzer, P. L.; Ferreira, P. J. S. G.; Higgins, J. R.; Saitoh, S.; Schmeisser, G.; Stens, R. L.
2011
Generalizations of the triangle inequality. Zbl 1056.46029
Saitoh, Saburou
2003
The Bergman space on a sector and the heat equation. Zbl 0704.30012
Aikawa, Hiroaki; Hayashi, Nakao; Saitoh, Saburou
1990
General inhomogeneous discrete linear partial differential equations with constant coefficients on the whole spaces. Zbl 1273.35017
Castro, L. P.; Saitoh, S.; Sawano, Y.; Simões, A. M.
2012
Convolution inequalities and applications. Zbl 1058.44004
Saitoh, Saburou; Tuan, Vu Kim; Yamamoto, Masahiro
2003
New convolutions and norm inequalities. Zbl 1254.44007
Castro, L. P.; Saitoh, S.
2012
Stability of Lipschitz type in determination of initial heat distribution. Zbl 0882.35056
Saitoh, Saburou; Yamamoto, Masahiro
1997
Some inequalities for analytic functions with a finite Dirichlet integral on the unit disc. Zbl 0427.30001
Saitoh, Saburou
1979
Some inequalities for entire functions. Zbl 0444.30009
Saitoh, Saburou
1980
Representations of inverse functions by the integral transform with the sign kernel. Zbl 1136.30304
Yamada, Masato; Matsuura, Tsutomu; Saitoh, Saburou
2007
Weighted $$L_p$$-norm inequalities in convolutions. Zbl 1024.26019
Saitoh, Saburou
2000
One approach to some general integral transforms and its applications. Zbl 0837.30002
Saitoh, Saburou
1995
Constructions of approximate solutions for linear differential equations by reproducing kernels and inverse problems. Zbl 1090.65066
Asaduzzaman, M.; Matsuura, T.; Saitoh, S.
2005
Numerical real inversion of the Laplace transform by using a high-accuracy numerical method. Zbl 1180.65169
Fujiwara, H.; Matsuura, T.; Saitoh, S.; Sawano, Y.
2009
Reverse weighted $$L_p$$- norm inequalities in convolutions. Zbl 0947.44003
Saitoh, Saburou; Tuan, Vũ Kim; Yamamoto, Masahiro
2000
New meanings of the division by zero and interpretations on $$100/0=0$$ and on $$0/0=0$$. Zbl 1291.30049
Kuroda, Masao; Michiwaki, Hiroshi; Saitoh, Saburou; Yamane, Masami
2014
Conditional stability of a real inverse formula for the Laplace transform. Zbl 0980.44002
Saitoh, S.; Tuan, Vu Kim; Yamamoto, M.
2001
Dirichlet principle using computers. Zbl 1086.31004
Matsuura, Tsutomu; Saitoh, Saburou
2005
Numerical solutions of the Poisson equation. Zbl 1065.31004
Matsuura, T.; Saitoh, S.; Trong, D. D.
2004
Isometrical identities for the Bergman and the Szegö spaces on a sector. Zbl 0728.30004
Aikawa, Hiroaki; Hayashi, Nakao; Saitoh, Saburou
1991
Fourier-Laplace transforms and the Bergman spaces. Zbl 0658.42015
Saitoh, Saburou
1988
The Laplace transform of $$L^ p$$ functions with weights. Zbl 0603.44003
Saitoh, Saburou
1986
Real inversion formulas of the Laplace transform on weighted function spaces. Zbl 1180.44001
Sawano, Yosihiro; Fujiwara, Hiroshi; Saitoh, Saburou
2008
The kernel functions of Szegö type on Riemann surfaces. Zbl 0251.30013
Saitoh, Saburou
1972
Fractional functions and their representations. Zbl 1285.46024
Castro, L. P.; Saitoh, S.
2013
Castro, L. P.; Haque, M. R.; Murshed, M. M.; Saitoh, S.; Tuan, N. M.
2014
Representations of initial heat distributions by means of their heat distributions as functions of time. Zbl 0937.35185
Nakamura, G.; Saitoh, S.; Syarif, A.
1999
Optimal and approximate solutions of singular integral equations by means of reproducing kernels. Zbl 1285.45001
Castro, L. P.; Saitoh, S.
2013
A real inversion formula for the Laplace transform. Zbl 0793.44001
Byun, D.-W.; Saitoh, S.
1993
Representations of inverse functions. Zbl 1114.30300
Saitoh, Saburou
1997
A reproducing kernel Hilbert space constructive approximation for integral equations with Toeplitz and Hankel kernels. Zbl 1330.45005
Castro, L. P.; Silva, A. S.; Saitoh, S.
2014
Tikhonov regularization and the theory of reproducing kernels. Zbl 1154.41014
Saitoh, S.
2007
Representations of the norms in Bergman-Selberg spaces on strips and half planes. Zbl 0770.30007
Saitoh, Saburou
1992
How to catch smoothing properties and analyticity of functions by computers? Zbl 1328.65126
Castro, L. P.; Fujiwara, H.; Qian, T.; Saitoh, S.
2014
A general theory of integral transforms and its applications. Zbl 0567.44001
Saitoh, S.
1985
Inequalities in the most simple Sobolev space and convolutions of $$L_ 2$$ functions with weights. Zbl 0783.26014
Saitoh, Saburou
1993
Positive definite Hermitian matrices and reproducing kernels. Zbl 0515.15009
Saitoh, Saburou
1982
Refined generalizations of the triangle inequality on Banach spaces. Zbl 1205.26034
Takahasi, Sin-Ei; Rassias, John M.; Saitoh, Saburou; Takahashi, Yasuji
2010
Various operators in Hilbert space introduced by transforms. Zbl 1171.46308
Saitoh, Saburou
1999
Fundamental error estimate inequalities for the Tikhonov regularization using reproducing kernels. Zbl 1253.46037
Castro, Luís P.; Fujiwara, Hiroshi; Saitoh, Saburou; Sawano, Yoshihiro; Yamada, Akira
2012
Convolutions, integral transforms and integral equations by means of the theory of reproducing kernels. Zbl 1279.30004
Castro, Luis P.; Saitoh, Sabourou; Tuan, Nguyen Minh
2012
Source inversion of heat conduction from a finite number of observation data. Zbl 1197.65132
Castro, L. P.; Chen, Q.; Saitoh, S.
2010
A reproducing kernel theory with some general applications. Zbl 1394.46020
Saitoh, Saburou
2016
A fundamental theorem on initial value problems by using the theory of reproducing kernels. Zbl 1342.47088
Castro, L. P.; Rodrigues, M. M.; Saitoh, S.
2015
Aveiro discretization method in mathematics: a new discretization principle. Zbl 1319.65103
Castro, L. P.; Fujiwara, H.; Rodrigues, M. M.; Saitoh, S.; Tuan, V. K.
2014
Reproducing kernels and their applications. Prodeedings of the session of the 1st international congress of the International Society for Analysis, its Applications and Computations (ISAAC’97), Newark, DE, USA, June 3–7, 1997. Zbl 0957.00034
1999
Analytic extension formulas and their applications. Zbl 0963.00016
2001
Natural norm inequalities in nonlinear transforms. Zbl 0901.46022
Saitoh, Saburou
1997
A new discretization method by means of reproducing kernels. Zbl 1314.65076
Castro, L. P.; Fujiwara, H.; Rodrigues, M. M.; Saitoh, S.
2012
Operator equations and best approximation problems in reproducing kernel Hilbert spaces. Zbl 1055.41010
Saitoh, S.; Matsuura, T.; Asaduzzaman, M.
2003
Fourier transforms with weighted functions and the Green’s functions. Zbl 0521.44002
Saitoh, Saburou
1983
Reproducing kernels of the direct product of two Hilbert spaces. Zbl 0525.46016
Saitoh, Saburou
1983
Some fundamental interpolation problems for analytic and harmonic functions of class $$L_ 2$$. Zbl 0544.30032
Saitoh, Saburou
1984
The Rudin kernel and the extremal functions in Hardy classes. Zbl 0261.30010
Saitoh, Saburou
1973
Integral transform by the product of two Szegoe kernel functions. Zbl 0479.30009
Saitoh, S.
1980
Generalizations of Paley-Wiener’s theorem for entire functions of exponential type. Zbl 0617.32003
Saitoh, Saburou
1987
Quadratic inequalities deduced from the theory of reproducing kernels. Zbl 0619.15015
Saitoh, Saburou
1987
Applications of reproducing kernels to best approximations, Tikhonov regularizations and inverse problems. Zbl 1128.41007
Saitoh, S.
2005
Fourier-Laplace transforms and the Bergman spaces. Zbl 0653.32024
Saitoh, Saburou
1988
Discrete linear differential equations. Zbl 1269.34011
Castro, Luis P.; Saitoh, Saburou; Sawano, Yoshihiro; Silva, Anabela S.
2012
Analytical and numerical solutions of linear singular integral equations. Zbl 1151.65101
Itou, H.; Saitoh, S.
2007
The Dirichlet norm and the norm of Szegö type. Zbl 0393.30006
Saitoh, Saburou
1979
Isometrical identities and inverse formulas in the one-dimensional Schrödinger equation. Zbl 0706.35057
Saitoh, Saburou
1990
Numerical solutions of linear singular integral equations by means of Tikhonov regularization and reproducing kernels. Zbl 1262.65196
Castro, L. P.; Itou, H.; Saitoh, S.
2012
Tikhonov regularization and the theory of reproducing kernels. Zbl 1152.65430
Saitoh, Saburou
2005
Analytical and numerical solutions of linear ordinary differential equations with constant coefficients. Zbl 1077.34012
Matsuura, T.; Saitoh, S.
2005
Error estimates of the real inversion formulas of the Laplace transform (abstract). Zbl 0938.44500
Amano, Kazuo; Saitoh, Saburou; Yamamoto, Masahiro
1998
Nonlinear transforms and analyticity of functions. Zbl 0945.46014
Saitoh, Saburou
1998
On the convolution of $$L_ 2$$ functions. Zbl 0591.44003
Saitoh, Saburou
1986
Error estimates of the real inversion formulas of the Laplace transform. Zbl 0981.44001
Amano, K.; Saitoh, S.; Yamamoto, M.
2000
Decreasing principles in transforms of reproducing kernel Hilbert spaces. Zbl 0795.46014
Saitoh, Saburou
1993
Approximation by the solutions of the heat equation. Zbl 0805.41014
Byun, D.-W.; Saitoh, S.
1994
New norm type inequalities for linear mappings. Zbl 1126.41307
Saitoh, Saburou
2003
Isometrical identities and inverse formulas in the one-dimensional heat equation. Zbl 0746.44003
Saitoh, S.
1991
Inequalities for the solutions of the heat equation. Zbl 0769.35022
Saitoh, Saburou
1992
The general sampling theory by using reproducing kernels. Zbl 1381.94048
Fujiwara, Hiroshi; Saitoh, Saburou
2016
Analytic extensions of functions on the real line to entire functions. Zbl 0838.30009
Byun, Du-Won; Saitoh, Saburou
1995
Approximate real inversion formulas of the Laplace transform. Zbl 1056.44002
Saitoh, S.
2003
Analytical extensions of the members of the Bergman and Szegö spaces on some tube domains. Zbl 0732.32013
Aikawa, Hiroaki; Hayashi, Nakao; Onda, Isao; Saitoh, Saburou
1991
Integral transforms by Green’s function on $$R^ n$$. Zbl 0553.44004
Saitoh, Saburou
1984
Some isometrical identities in the wave equation. Zbl 0571.35064
Saitoh, Saburou
1984
Integral transforms in linear equations of parabolic type with constant coefficients. Zbl 0575.35039
Saitoh, Saburou
1984
Cauchy integrals for $$L_ 2$$ functions. Zbl 0659.30008
Saitoh, Saburou
1988
Inequalities of exponential type for analytic functions with finite Dirichlet integrals. Zbl 0665.30007
Saitoh, Saburou
1988
Relation between ultimate boundedness and radially unbounded Lyapunov function. Zbl 0612.34049
Hara, T.; Yoneyama, T.; Saitoh, S.; Hirano, M.
1986
Fourier-Laplace transforms and the Bergman spaces on tube domains. Zbl 0616.32019
Saitoh, S.
1986
Generalized reproducing kernels and generalized delta functions. Zbl 1383.30004
Saitoh, S.; Sawano, Y.
2017
Theory of reproducing kernels and applications. Zbl 1358.46004
Saitoh, Saburou; Sawano, Yoshihiro
2016
A reproducing kernel theory with some general applications. Zbl 1394.46020
Saitoh, Saburou
2016
The general sampling theory by using reproducing kernels. Zbl 1381.94048
Fujiwara, Hiroshi; Saitoh, Saburou
2016
A fundamental theorem on initial value problems by using the theory of reproducing kernels. Zbl 1342.47088
Castro, L. P.; Rodrigues, M. M.; Saitoh, S.
2015
Solvability of singular integral equations with rotations and degenerate kernels in the vanishing coefficient case. Zbl 1310.45001
Castro, L. P.; Rojas, E. M.; Saitoh, S.; Tuan, N. M.; Tuan, P. D.
2015
New meanings of the division by zero and interpretations on $$100/0=0$$ and on $$0/0=0$$. Zbl 1291.30049
Kuroda, Masao; Michiwaki, Hiroshi; Saitoh, Saburou; Yamane, Masami
2014
Castro, L. P.; Haque, M. R.; Murshed, M. M.; Saitoh, S.; Tuan, N. M.
2014
A reproducing kernel Hilbert space constructive approximation for integral equations with Toeplitz and Hankel kernels. Zbl 1330.45005
Castro, L. P.; Silva, A. S.; Saitoh, S.
2014
How to catch smoothing properties and analyticity of functions by computers? Zbl 1328.65126
Castro, L. P.; Fujiwara, H.; Qian, T.; Saitoh, S.
2014
Aveiro discretization method in mathematics: a new discretization principle. Zbl 1319.65103
Castro, L. P.; Fujiwara, H.; Rodrigues, M. M.; Saitoh, S.; Tuan, V. K.
2014
Fractional functions and their representations. Zbl 1285.46024
Castro, L. P.; Saitoh, S.
2013
Optimal and approximate solutions of singular integral equations by means of reproducing kernels. Zbl 1285.45001
Castro, L. P.; Saitoh, S.
2013
General inhomogeneous discrete linear partial differential equations with constant coefficients on the whole spaces. Zbl 1273.35017
Castro, L. P.; Saitoh, S.; Sawano, Y.; Simões, A. M.
2012
New convolutions and norm inequalities. Zbl 1254.44007
Castro, L. P.; Saitoh, S.
2012
Fundamental error estimate inequalities for the Tikhonov regularization using reproducing kernels. Zbl 1253.46037
Castro, Luís P.; Fujiwara, Hiroshi; Saitoh, Saburou; Sawano, Yoshihiro; Yamada, Akira
2012
Convolutions, integral transforms and integral equations by means of the theory of reproducing kernels. Zbl 1279.30004
Castro, Luis P.; Saitoh, Sabourou; Tuan, Nguyen Minh
2012
A new discretization method by means of reproducing kernels. Zbl 1314.65076
Castro, L. P.; Fujiwara, H.; Rodrigues, M. M.; Saitoh, S.
2012
Discrete linear differential equations. Zbl 1269.34011
Castro, Luis P.; Saitoh, Saburou; Sawano, Yoshihiro; Silva, Anabela S.
2012
Numerical solutions of linear singular integral equations by means of Tikhonov regularization and reproducing kernels. Zbl 1262.65196
Castro, L. P.; Itou, H.; Saitoh, S.
2012
Interpolation and sampling: E. T. Whittaker, K. Ogura and their followers. Zbl 1213.94027
Butzer, P. L.; Ferreira, P. J. S. G.; Higgins, J. R.; Saitoh, S.; Schmeisser, G.; Stens, R. L.
2011
Refined generalizations of the triangle inequality on Banach spaces. Zbl 1205.26034
Takahasi, Sin-Ei; Rassias, John M.; Saitoh, Saburou; Takahashi, Yasuji
2010
Source inversion of heat conduction from a finite number of observation data. Zbl 1197.65132
Castro, L. P.; Chen, Q.; Saitoh, S.
2010
Inversion from different kinds of information and real inversion formulas of the Laplace transform from a finite number of data. Zbl 1195.44006
Castro, L. P.; Rojas, E. M.; Saitoh, S.
2010
A numerical construction of a natural inverse of any matrix by using the theory of reproducing kernels with the Tikhonov regularization. Zbl 1195.65052
Iwamura, K.; Matsuura, T.; Saitoh, S.
2010
Numerical real inversion of the Laplace transform by using a high-accuracy numerical method. Zbl 1180.65169
Fujiwara, H.; Matsuura, T.; Saitoh, S.; Sawano, Y.
2009
Real inversion formulas of the Laplace transform on weighted function spaces. Zbl 1180.44001
Sawano, Yosihiro; Fujiwara, Hiroshi; Saitoh, Saburou
2008
Real inversion of the Laplace transform in numerical singular value decomposition. Zbl 1143.65099
Fujiwara, H.; Matsuura, T.; Saitoh, S.; Sawano, Y.
2008
Representations of inverse functions by the integral transform with the sign kernel. Zbl 1136.30304
Yamada, Masato; Matsuura, Tsutomu; Saitoh, Saburou
2007
Tikhonov regularization and the theory of reproducing kernels. Zbl 1154.41014
Saitoh, S.
2007
Analytical and numerical solutions of linear singular integral equations. Zbl 1151.65101
Itou, H.; Saitoh, S.
2007
Analytical and numerical inversion formulas in the Gaussian convolution by using the Paley-Wiener spaces. Zbl 1101.65116
Matsuura, T.; Saitoh, S.
2006
Approximate and analytical inversion formulas in heat conduction on multidimensional spaces. Zbl 1095.35072
Matsuura, T.; Saitoh, S.; Trong, D. D.
2005
Best approximation, Tikhonov regularization and reproducing kernels. Zbl 1087.65053
Saitoh, Saburou
2005
Constructions of approximate solutions for linear differential equations by reproducing kernels and inverse problems. Zbl 1090.65066
Asaduzzaman, M.; Matsuura, T.; Saitoh, S.
2005
Dirichlet principle using computers. Zbl 1086.31004
Matsuura, Tsutomu; Saitoh, Saburou
2005
Applications of reproducing kernels to best approximations, Tikhonov regularizations and inverse problems. Zbl 1128.41007
Saitoh, S.
2005
Tikhonov regularization and the theory of reproducing kernels. Zbl 1152.65430
Saitoh, Saburou
2005
Analytical and numerical solutions of linear ordinary differential equations with constant coefficients. Zbl 1077.34012
Matsuura, T.; Saitoh, S.
2005
Approximate real inversion formulas of the Gaussian convolution. Zbl 1070.44002
Saitoh, S.
2004
Numerical solutions of the Poisson equation. Zbl 1065.31004
Matsuura, T.; Saitoh, S.; Trong, D. D.
2004
Generalizations of the triangle inequality. Zbl 1056.46029
Saitoh, Saburou
2003
Convolution inequalities and applications. Zbl 1058.44004
Saitoh, Saburou; Tuan, Vu Kim; Yamamoto, Masahiro
2003
Operator equations and best approximation problems in reproducing kernel Hilbert spaces. Zbl 1055.41010
Saitoh, S.; Matsuura, T.; Asaduzzaman, M.
2003
New norm type inequalities for linear mappings. Zbl 1126.41307
Saitoh, Saburou
2003
Approximate real inversion formulas of the Laplace transform. Zbl 1056.44002
Saitoh, S.
2003
Reverse convolution inequalities and applications to inverse heat source problems. Zbl 1029.44002
Saitoh, Saburou; Tuan, Vu Kim; Yamamoto, Masahiro
2002
Conditional stability of a real inverse formula for the Laplace transform. Zbl 0980.44002
Saitoh, S.; Tuan, Vu Kim; Yamamoto, M.
2001
Analytic extension formulas and their applications. Zbl 0963.00016
2001
Weighted $$L_p$$-norm inequalities in convolutions. Zbl 1024.26019
Saitoh, Saburou
2000
Reverse weighted $$L_p$$- norm inequalities in convolutions. Zbl 0947.44003
Saitoh, Saburou; Tuan, Vũ Kim; Yamamoto, Masahiro
2000
Error estimates of the real inversion formulas of the Laplace transform. Zbl 0981.44001
Amano, K.; Saitoh, S.; Yamamoto, M.
2000
Representations of initial heat distributions by means of their heat distributions as functions of time. Zbl 0937.35185
Nakamura, G.; Saitoh, S.; Syarif, A.
1999
Various operators in Hilbert space introduced by transforms. Zbl 1171.46308
Saitoh, Saburou
1999
Reproducing kernels and their applications. Prodeedings of the session of the 1st international congress of the International Society for Analysis, its Applications and Computations (ISAAC’97), Newark, DE, USA, June 3–7, 1997. Zbl 0957.00034
1999
Error estimates of the real inversion formulas of the Laplace transform (abstract). Zbl 0938.44500
Amano, Kazuo; Saitoh, Saburou; Yamamoto, Masahiro
1998
Nonlinear transforms and analyticity of functions. Zbl 0945.46014
Saitoh, Saburou
1998
Integral transforms, reproducing kernels and their applications. Zbl 0891.44001
Saitoh, S.
1997
Stability of Lipschitz type in determination of initial heat distribution. Zbl 0882.35056
Saitoh, Saburou; Yamamoto, Masahiro
1997
Representations of inverse functions. Zbl 1114.30300
Saitoh, Saburou
1997
Natural norm inequalities in nonlinear transforms. Zbl 0901.46022
Saitoh, Saburou
1997
One approach to some general integral transforms and its applications. Zbl 0837.30002
Saitoh, Saburou
1995
Analytic extensions of functions on the real line to entire functions. Zbl 0838.30009
Byun, Du-Won; Saitoh, Saburou
1995
Approximation by the solutions of the heat equation. Zbl 0805.41014
Byun, D.-W.; Saitoh, S.
1994
A real inversion formula for the Laplace transform. Zbl 0793.44001
Byun, D.-W.; Saitoh, S.
1993
Inequalities in the most simple Sobolev space and convolutions of $$L_ 2$$ functions with weights. Zbl 0783.26014
Saitoh, Saburou
1993
Decreasing principles in transforms of reproducing kernel Hilbert spaces. Zbl 0795.46014
Saitoh, Saburou
1993
Representations of the norms in Bergman-Selberg spaces on strips and half planes. Zbl 0770.30007
Saitoh, Saburou
1992
Inequalities for the solutions of the heat equation. Zbl 0769.35022
Saitoh, Saburou
1992
Isometrical identities for the Bergman and the Szegö spaces on a sector. Zbl 0728.30004
Aikawa, Hiroaki; Hayashi, Nakao; Saitoh, Saburou
1991
Isometrical identities and inverse formulas in the one-dimensional heat equation. Zbl 0746.44003
Saitoh, S.
1991
Analytical extensions of the members of the Bergman and Szegö spaces on some tube domains. Zbl 0732.32013
Aikawa, Hiroaki; Hayashi, Nakao; Onda, Isao; Saitoh, Saburou
1991
Analyticity and smoothing effect for the Schrödinger equation. Zbl 0731.35047
Hayashi, Nakao; Saitoh, Saburou
1990
Analyticity and global existence of small solutions to some nonlinear Schrödinger equations. Zbl 0705.35132
Hayashi, Nakao; Saitoh, Saburou
1990
The Bergman space on a sector and the heat equation. Zbl 0704.30012
Aikawa, Hiroaki; Hayashi, Nakao; Saitoh, Saburou
1990
Isometrical identities and inverse formulas in the one-dimensional Schrödinger equation. Zbl 0706.35057
Saitoh, Saburou
1990
Theory of reproducing kernels and its applications. Zbl 0652.30003
Saitoh, Saburou
1988
Fourier-Laplace transforms and the Bergman spaces. Zbl 0658.42015
Saitoh, Saburou
1988
Fourier-Laplace transforms and the Bergman spaces. Zbl 0653.32024
Saitoh, Saburou
1988
Cauchy integrals for $$L_ 2$$ functions. Zbl 0659.30008
Saitoh, Saburou
1988
Inequalities of exponential type for analytic functions with finite Dirichlet integrals. Zbl 0665.30007
Saitoh, Saburou
1988
Generalizations of Paley-Wiener’s theorem for entire functions of exponential type. Zbl 0617.32003
Saitoh, Saburou
1987
Quadratic inequalities deduced from the theory of reproducing kernels. Zbl 0619.15015
Saitoh, Saburou
1987
The Laplace transform of $$L^ p$$ functions with weights. Zbl 0603.44003
Saitoh, Saburou
1986
On the convolution of $$L_ 2$$ functions. Zbl 0591.44003
Saitoh, Saburou
1986
Relation between ultimate boundedness and radially unbounded Lyapunov function. Zbl 0612.34049
Hara, T.; Yoneyama, T.; Saitoh, S.; Hirano, M.
1986
Fourier-Laplace transforms and the Bergman spaces on tube domains. Zbl 0616.32019
Saitoh, S.
1986
A general theory of integral transforms and its applications. Zbl 0567.44001
Saitoh, S.
1985
Some fundamental interpolation problems for analytic and harmonic functions of class $$L_ 2$$. Zbl 0544.30032
Saitoh, Saburou
1984
Integral transforms by Green’s function on $$R^ n$$. Zbl 0553.44004
Saitoh, Saburou
1984
Some isometrical identities in the wave equation. Zbl 0571.35064
Saitoh, Saburou
1984
Integral transforms in linear equations of parabolic type with constant coefficients. Zbl 0575.35039
Saitoh, Saburou
1984
Hilbert spaces admitting reproducing kernels on the real line and related fundamental inequalities. Zbl 0645.46029
Saitoh, Saburou
1984
The Weierstrass transform and an isometry in the heat equation. Zbl 0526.44002
Saitoh, S.
1983
Hilbert spaces induced by Hilbert space valued functions. Zbl 0595.46026
Saitoh, Saburou
1983
Fourier transforms with weighted functions and the Green’s functions. Zbl 0521.44002
Saitoh, Saburou
1983
Reproducing kernels of the direct product of two Hilbert spaces. Zbl 0525.46016
Saitoh, Saburou
1983
Integral transforms in Hilbert spaces. Zbl 0513.44002
Saitoh, Saburou
1982
Positive definite Hermitian matrices and reproducing kernels. Zbl 0515.15009
Saitoh, Saburou
1982
Some inequalities for entire functions. Zbl 0444.30009
Saitoh, Saburou
1980
...and 8 more Documents
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### Cited by 519 Authors

 43 Saitoh, Saburou 17 Alpay, Daniel Aron 16 Soltani, Fethi 12 Pinheiro de Castro, Luís Filipe 11 Hoshino, Gaku 10 Jørgensen, Palle E. T. 10 Mejjaoli, Hatem 9 Hayashi, Nakao 8 García, Antonio G. 8 Yamanci, Ulas 7 Ozawa, Tohru 7 Vu Kim Tuan 6 Garayev, Mübariz Tapdıgoğlu 6 Qian, Tao 5 Burbea, Jacob 5 Nguyen Minh Tuan 5 Sawano, Yoshihiro 4 Bissantz, Nicolai 4 Butzer, Paul Leo 4 De Vito, Ernesto 4 Dette, Holger 4 Freeden, Willi 4 Gurdal, Mehmet 4 Hedenmalm, Håkan 4 Hickernell, Fred J. 4 Higgins, John Rowland 4 Hleili, Khaled 4 Matsuura, Tsutomu 4 Nashed, M. Zuhair 4 Nemri, Akram 4 Portal, Alberto 4 Yamamoto, Masahiro 3 Ashyralyev, Allaberen 3 Ben Hamadi, Nadia 3 Dodson, Michael Maurice 3 Ervedoza, Sylvain 3 Gheondea, Aurelian 3 Ghobber, Saifallah 3 Hernández-Medina, Miguel Ángel 3 Izuki, Mitsuo 3 Mboup, Mamadou 3 Mitani, Ken-Ichi 3 Okumura, Hiroshi 3 Saito, Kichisuke 3 Shimorin, Serguei 3 Silva, Anabela Sousa 3 Sivaramakrishnan, C. 3 Stens, Rudolf L. 3 Takahasi, Sin-Ei 3 Vancostenoble, Judith 3 Zayed, Ahmed I. 2 Abreu, Luís Daniel 2 Amri, Besma 2 Ben Mohamed, Hassen 2 Bolotnikov, Vladimir 2 Bruveris, Martins 2 Buescu, Jorge 2 Carmeli, Claudio 2 Chefai, Soumaya 2 Dadipour, Farzad 2 Dang Duc Trong 2 Dardé, Jérémi 2 Deng, Caixia 2 Deng, Guantie 2 Dinh Thanh Duc 2 Dragomir, Sever Silvestru 2 Erdogan, Abdullah Said 2 Exl, Lukas 2 Ferreira, Paulo Jorge S. G. 2 Filippone, Maurizio 2 Fujiwara, Hiroshi 2 Gohberg, Israel 2 Hafirassou, Zineb 2 Hashimoto, Yuka 2 Hildebrandt, Thimo 2 Hoang, Pham Van 2 Hon, Yiu-Chung 2 Hyakuna, Ryosuke 2 Jelassi, Mourad 2 Kamimoto, Joe 2 Kaptanoglu, H. Turgay 2 Karniadakis, George Em 2 Kato, Keiichi 2 Kobayashi, Yuji 2 Liu, Min-Qian 2 López-García, Marcos 2 Lopushanski, Oleh V. 2 Ma, Limin 2 Martinez, Patrick 2 Mauser, Norbert Julius 2 Medina, Juan Miguel 2 Menegatto, Valdir Antonio 2 Moumni, Tahar 2 Naidu, D. Venku 2 Nguyen Du Vi Nhan 2 Nguyen Thanh Hong 2 Nodera, Takashi 2 Omri, Slim 2 Paixão, A. C. 2 Prasad, Akhilesh ...and 419 more Authors
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### Cited in 181 Serials

 23 Journal of Mathematical Analysis and Applications 22 Applicable Analysis 19 Integral Transforms and Special Functions 16 Journal of Pseudo-Differential Operators and Applications 15 Proceedings of the American Mathematical Society 13 Complex Analysis and Operator Theory 11 Linear Algebra and its Applications 8 Applied Mathematics and Computation 8 Integral Equations and Operator Theory 6 Journal of Functional Analysis 6 Analysis and Applications (Singapore) 5 Archiv der Mathematik 5 Journal of Computational and Applied Mathematics 4 Duke Mathematical Journal 4 Numerical Functional Analysis and Optimization 4 Fractional Calculus & Applied Analysis 3 Journal d’Analyse Mathématique 3 Kodai Mathematical Journal 3 Results in Mathematics 3 Tokyo Journal of Mathematics 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Journal of Complexity 3 Pattern Recognition 3 Computational and Applied Mathematics 3 Journal of Inverse and Ill-Posed Problems 3 The Journal of Fourier Analysis and Applications 3 Journal of Inequalities and Applications 3 Forum Geometricorum 3 International Journal of Wavelets, Multiresolution and Information Processing 3 Mediterranean Journal of Mathematics 2 Computers & Mathematics with Applications 2 Communications in Mathematical Physics 2 Journal of Computational Physics 2 Linear and Multilinear Algebra 2 Mathematical Notes 2 Mathematics of Computation 2 Advances in Mathematics 2 Dissertationes Mathematicae 2 Journal of Approximation Theory 2 Le Matematiche 2 Mathematische Nachrichten 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Osaka Journal of Mathematics 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Transactions of the American Mathematical Society 2 Journal of Integral Equations and Applications 2 Signal Processing 2 Japan Journal of Industrial and Applied Mathematics 2 Communications in Partial Differential Equations 2 Communications in Statistics. Theory and Methods 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 Journal of Mathematical Imaging and Vision 2 Applied and Computational Harmonic Analysis 2 Journal of Mathematical Sciences (New York) 2 Turkish Journal of Mathematics 2 NoDEA. Nonlinear Differential Equations and Applications 2 Mathematical Problems in Engineering 2 Abstract and Applied Analysis 2 Mathematical Inequalities & Applications 2 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 2 Analysis (München) 2 Communications of the Korean Mathematical Society 2 Journal of Machine Learning Research (JMLR) 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Applied Mathematics and Computing 2 Electronic Journal of Statistics 2 GEM - International Journal on Geomathematics 2 Mathematical Control and Related Fields 2 Journal of Function Spaces 1 Inverse Problems 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Metrika 1 Periodica Mathematica Hungarica 1 Physics Letters. A 1 Problems of Information Transmission 1 Ukrainian Mathematical Journal 1 Chaos, Solitons and Fractals 1 Acta Mathematica Vietnamica 1 Annals of the Institute of Statistical Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Statistics 1 Czechoslovak Mathematical Journal 1 Illinois Journal of Mathematics 1 Information Sciences 1 International Journal for Numerical Methods in Engineering 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Nagoya Mathematical Journal 1 Proceedings of the Japan Academy. Series A 1 Quaestiones Mathematicae 1 Semigroup Forum 1 SIAM Journal on Control and Optimization 1 Zeitschrift für Analysis und ihre Anwendungen 1 Applied Mathematics and Mechanics. (English Edition) 1 Stochastic Analysis and Applications 1 Acta Applicandae Mathematicae ...and 81 more Serials
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### Cited in 45 Fields

 142 Functional analysis (46-XX) 87 Partial differential equations (35-XX) 87 Harmonic analysis on Euclidean spaces (42-XX) 74 Operator theory (47-XX) 68 Integral transforms, operational calculus (44-XX) 61 Functions of a complex variable (30-XX) 59 Numerical analysis (65-XX) 34 Information and communication theory, circuits (94-XX) 33 Several complex variables and analytic spaces (32-XX) 24 Integral equations (45-XX) 22 Real functions (26-XX) 22 Statistics (62-XX) 21 Abstract harmonic analysis (43-XX) 21 Computer science (68-XX) 18 Special functions (33-XX) 17 Approximations and expansions (41-XX) 13 Probability theory and stochastic processes (60-XX) 12 Ordinary differential equations (34-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Systems theory; control (93-XX) 9 Quantum theory (81-XX) 7 Potential theory (31-XX) 4 Geometry (51-XX) 4 Differential geometry (53-XX) 4 Geophysics (86-XX) 3 History and biography (01-XX) 3 Combinatorics (05-XX) 3 Number theory (11-XX) 3 Topological groups, Lie groups (22-XX) 3 Measure and integration (28-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Biology and other natural sciences (92-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Sequences, series, summability (40-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Operations research, mathematical programming (90-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Difference and functional equations (39-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX)