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Applicable Analysis
An International Journal
Volume 94, 2015 - Issue 8
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Articles

Analytical and numerical applications for the Fourier multiplier operators on ℝn × (0, ∞)

Fethi SoltaniFaculty of Science, Department of Mathematics, Jazan University, P.O. Box 114, Jazan, Kingdom of Saudi Arabia.Correspondence[email protected]
&
Akram NemriFaculty of Science, Department of Mathematics, Jazan University, P.O. Box 114, Jazan, Kingdom of Saudi Arabia.
Pages 1545-1560 | Received 31 May 2014, Accepted 14 Jun 2014, Published online: 28 Jul 2014

References

  • Aronszajn N. Theory of reproducing kernels. Trans. Am. Math. Soc. 1950;68:337–404.
  • Schwartz L. Sous-espaces Hilbertiens d’espaces vectoriels topologiques et noyaux associés (noyaux reproduisants) [Hilbert subspaces of topological vector spaces and associated kernel (reproducing kernel)]. J. Anal. Math. 1964;13:115–256.
  • Saitoh S. Hilbert spaces induced by Hilbert space valued functions. Proc. Am. Math. Soc. 1983;89:74–78.
  • Matsuura T, Saitoh S, Trong DD. Inversion formulas in heat conduction multidimensional spaces. J. Inv. Ill-posed Probl. 2005;13:479–493.
  • Matsuura T, Saitoh S. Analytical and numerical inversion formulas in the Gaussian convolution by using the Paley–Wiener spaces. Appl. Anal. 2006;85:901–915.
  • Saitoh S. Best approximation, Tikhonov regularization and reproducing kernels. Kodai Math. J. 2005;28:359–367.
  • Soltani F. Operators and Tikhonov regularization on the Fock space. Int. Trans. Spec. Funct. 2014;25:283–294.
  • Yamada M, Matsuura T, Saitoh S. Representations of inverse functions by the integral transform with the sign kernel. Frac. Calc. Appl. Anal. 2007;2:161–168.
  • Saitoh S. The Weierstrass transform and an isometry in the heat equation. Appl. Anal. 1983;16:1–6.
  • Faris WG. Inequalities and uncertainty inequalities. J. Math. Phys. 1978;19:461–466.
  • Price JF. Inequalities and local uncertainty principles. J. Math. Phys. 1983;24:1711–1714.
  • Price JF. Sharp local uncertainty principles. Studia Math. 1987;85:37–45.
  • Cowling M, Price JF. Bandwidth versus time concentration: the Heisenberg–Pauli–Weyl inequality. SIAM J. Math. Anal. 1984;15:151–165.
  • Hirschman II. A note on entropy. Am. J. Math. 1957;79:152–156.
  • Donoho DL, Stark PB. Uncertainty principles and signal recovery. SIAM J. Appl. Math. 1989;49:906–931.
  • Saitoh S. Approximate real inversion formulas of the Gaussian convolution. Appl. Anal. 2004;83:727–733.
  • Soltani F. Inversion formulas in the Dunkl-type heat conduction on ℝd. Appl. Anal. 2005;84:541–553.
  • Kimeldorf GS, Wahba G. Some results on Tchebycheffian spline functions. J. Math. Anal. Appl. 1971;33:82–95.

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