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Computer Methods in Biomechanics and Biomedical Engineering: Imaging & Visualization Volume 7, 2019 - Issue 5-6: Special Issue: VI ECCOMAS Thematic Conference on Computational Vision and Medical Image Processing (VipIMAGE). Edited by: João Manuel R. S. Tavares and Renato Natal Jorge
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Original Articles

Generalized Sturmian Functions used for a discrete wavelet construction

J. A. Del PuntaDepartamento de Matemática, Universidad Nacional del Sur, Bahía Blanca, Argentina.;Neufisur – Departamento de Física, Universidad Nacional del Sur – CONICET, Bahía Blanca, Argentina.Correspondence[email protected]
,
G. GasaneoNeufisur – Departamento de Física, Universidad Nacional del Sur – CONICET, Bahía Blanca, Argentina.;Centro Integral de Neurociencias Aplicadas, Bahía Blanca, Argentina.
&
L. U. AncaraniUniversité de Lorraine, CNRS, LPCT, Metz, France.
Pages 541-549 | Received 15 Dec 2017, Accepted 13 Jun 2018, Published online: 05 Jul 2018

References

  • Akansu AN, Serdijn WA, Selesnick IW. 2010. Emerging applications of wavelets: a review. Phys Commun. 3:1–18.
  • Bagarello F. 2003. Multiresolution analysis generated by a seed function. J Math Phys. 44(4):1519–1534.
  • Baggett LW, Carey A, Moran W, Ohring P. 1995. General existence theorems for orthonormal wavelets, an abstract approach. Publ Res Inst Math Sci. 31:95–111.
  • Chui CK, Mhaskar HN. 1993. On trigonometric wavelets. Constr Approx. 9:167–190.
  • Dai DQ. 2000. Wavelets and orthogonal polynomials based on harmonic oscillator eigenstates. J Math Phys. 41(5):3086–3103.
  • Daubechies I. 1988. Orthonormal bases of compactly supported wavelets. Commun Pure Appl Math. 41:909–996.
  • Depczynski U. 1998. Sturm-Liouville wavelets. Appl Comput Harmon Anal. 5:216–247.
  • Fischer B, Prestin J. 1997. Wavelets based on orthogonal polynomials. Math Comp. 66(220):1593–1618.
  • Fröhlich J, Uhlmann M. 2001. Wavelets based on orthogonal polynomials. PIK Rep. 72:1–49.
  • Gasaneo G, Ancarani LU, Mitnik DM, Randazzo JM, Frapiccini AL, Colavecchia FD. 2013. Three-body Coulomb problems with Generalized Sturmian Functions. Adv Quant Chem. 67:153–216.
  • Kilgore T, Prestin J. 1996. Polynomial wavelets on the interval. Constr Approx. 12:95–110.
  • Landau LD, Lifshitz EM. 1965. Quantum mechanics: non-relativistic theory. Oxford: Pergamon.
  • Lindsay RW, Percival BD, Rothrock DA. 1996. The discrete wavelet transform and the scale analysis of the surface properties of sea ice. IEEE Trans Geosci Remote Sens. 34(3):771–787.
  • Mallat S. 1989a. A theory for multiresolution signal decomposition: the wavelet representation. IEEE Trans Pattern Anal Mach Intell. 11(7):674–693.
  • Mallat S. 1989b. Multiresolution approximations and wavelet orthonormal bases of L2(R). Trans Amer Math Soc. 315(1):69–87.
  • Maquet A. 1977. Use of the Coulomb Green’s function in atomic calculations Phys Rev A. 15(3):1088–1108.
  • Mitnik DM, Colavecchia FD, Gasaneo G, Randazzo JM. 2011. Computational methods for Generalized Sturmians basis. Comput Phys Commun. 182:1145–1155.
  • Rawitscher G. 2012. Iterative solution of integral equations on a basis of positive energy Sturmian functions. Phys Rev E. 85(026701):1–13.
  • Specht JI, Dimieri L, Urdapilleta E, Gasaneo G. 2017. Minimal dynamical description of eye movements. Eur Phys J. B. 90(25):1–12.

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