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Applicable Analysis
An International Journal
Volume 85, 2006 - Issue 8
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Original Articles

Analytical and numerical inversion formulas in the Gaussian convolution by using the Paley–Wiener spaces

T. Matsuura Department of Mechanical Engineering, Faculty of Engineering, Gunma University, Kiryu 376-8515, Japan
&
S. Saitoh Department of Mechanical Engineering, Faculty of Engineering, Gunma University, Kiryu 376-8515, JapanCorrespondence[email protected]
Pages 901-915 | Received 24 Aug 2004, Accepted 18 Feb 2006, Published online: 04 Sep 2006

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Fethi Soltani & Akram Nemri. (2015) Analytical and numerical applications for the Fourier multiplier operators on ℝ × (0, ∞). Applicable Analysis 94:8, pages 1545-1560.
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L.P. Castro & S. Saitoh. (2012) Natural outputs and global inputs of linear systems with a finite number of input data. Applicable Analysis 91:2, pages 225-236.
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L.P. Castro, Q. Chen & S. Saitoh. (2010) Source inversion of heat conduction from a finite number of observation data. Applicable Analysis 89:6, pages 801-813.
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Articles from other publishers (24)

Fethi Soltani & Ibrahim Maktouf. (2024) Dunkl–Weinstein Multiplier Operators and Applications to Reproducing Kernel Theory. Mediterranean Journal of Mathematics 21:3.
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Fethi Soltani. 2023. Operator Theory - Recent Advances, New Perspectives and Applications. Operator Theory - Recent Advances, New Perspectives and Applications.
Fethi Soltani. 2020. Functional Calculus. Functional Calculus.
Fethi Soltani & Akram Nemri. (2016) Analytical and Numerical Approximation Formulas on the Dunkl-Type Fock Spaces. Acta Mathematica Vietnamica 42:1, pages 129-147.
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Saburou Saitoh & Yoshihiro SawanoSaburou Saitoh & Yoshihiro Sawano. 2016. Theory of Reproducing Kernels and Applications. Theory of Reproducing Kernels and Applications 321 386 .
Saburou Saitoh & Yoshihiro SawanoSaburou Saitoh & Yoshihiro Sawano. 2016. Theory of Reproducing Kernels and Applications. Theory of Reproducing Kernels and Applications 295 319 .
Saburou Saitoh & Yoshihiro SawanoSaburou Saitoh & Yoshihiro Sawano. 2016. Theory of Reproducing Kernels and Applications. Theory of Reproducing Kernels and Applications 231 294 .
Saburou Saitoh & Yoshihiro SawanoSaburou Saitoh & Yoshihiro Sawano. 2016. Theory of Reproducing Kernels and Applications. Theory of Reproducing Kernels and Applications 217 230 .
Saburou Saitoh & Yoshihiro SawanoSaburou Saitoh & Yoshihiro Sawano. 2016. Theory of Reproducing Kernels and Applications. Theory of Reproducing Kernels and Applications 197 215 .
Saburou Saitoh & Yoshihiro SawanoSaburou Saitoh & Yoshihiro Sawano. 2016. Theory of Reproducing Kernels and Applications. Theory of Reproducing Kernels and Applications 161 196 .
Saburou Saitoh & Yoshihiro SawanoSaburou Saitoh & Yoshihiro Sawano. 2016. Theory of Reproducing Kernels and Applications. Theory of Reproducing Kernels and Applications 65 160 .
Saburou Saitoh & Yoshihiro SawanoSaburou Saitoh & Yoshihiro Sawano. 2016. Theory of Reproducing Kernels and Applications. Theory of Reproducing Kernels and Applications 1 63 .
Saburou Saitoh. 2016. Mathematical Analysis, Probability and Applications – Plenary Lectures. Mathematical Analysis, Probability and Applications – Plenary Lectures 151 182 .
Fethi Soltani & Akram Nemri. (2014) Analytical and Numerical Approximation Formulas for the Fourier Multiplier Operators. Complex Analysis and Operator Theory 9:1, pages 121-138.
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Nguyen Minh Tuan. 2015. Current Trends in Analysis and Its Applications. Current Trends in Analysis and Its Applications 515 521 .
Luis Castro, Saburou Saitoh, Yoshihiro Sawano & Anabela S. Silva. (2012) Discrete linear differential equations. Analysis 32:3, pages 181-191.
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Nguyen Minh Tuan & Nguyen Thi Thu Huyen. (2012) Applications of generalized convolutions associated with the Fourier and Hartley transforms. Journal of Integral Equations and Applications 24:1.
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L. P. Castro, S. Saitoh, Y. Sawano & A. M. Simões. (2010) General Inhomogeneous Discrete Linear Partial Differential Equations with Constant Coefficients on the Whole Spaces. Complex Analysis and Operator Theory 6:1, pages 307-324.
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Luís P. Castro, Hiroshi Fujiwara, Saburou Saitoh, Yoshihiro Sawano, Akira Yamada & Masato Yamada. 2012. Inequalities and Applications 2010. Inequalities and Applications 2010 87 101 .
W. Ulmer & B. Schaffner. (2011) Foundation of an analytical proton beamlet model for inclusion in a general proton dose calculation system. Radiation Physics and Chemistry 80:3, pages 378-389.
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W. Ulmer & E. Matsinos. (2011) Theoretical methods for the calculation of Bragg curves and 3D distributions of proton beams. The European Physical Journal Special Topics 190:1, pages 1-81.
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W Ulmer. (2010) Inverse problem of linear combinations of Gaussian convolution kernels (deconvolution) and some applications to proton/photon dosimetry and image processing. Inverse Problems 26:8, pages 085002.
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Tsutomu Matsuura & Saburou Saitoh. (2010) Real inversion formulas and numerical experiments of the Laplace transform by using the theory of reproducing kernels. Procedia - Social and Behavioral Sciences 2:1, pages 111-119.
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Saburou Saitoh. (2007) Applications of Tikhonov regularization to inverse problems using reproducing kernels. Journal of Physics: Conference Series 73, pages 012019.
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