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Gregory E. Fasshauer, Larry L. Schumaker's Approximation Theory XIV: San Antonio 2013 PDF

By Gregory E. Fasshauer, Larry L. Schumaker

ISBN-10: 3319064037

ISBN-13: 9783319064031

ISBN-10: 3319064045

ISBN-13: 9783319064048

These court cases have been ready in reference to the 14th overseas convention on Approximation concept, which was once held April 7-10, 2013 in San Antonio, Texas. The convention used to be the fourteenth in a sequence of conferences in Approximation thought held at a variety of destinations within the usa. The integrated invited and contributed papers conceal varied components of approximation conception with a distinct emphasis at the most modern and energetic components equivalent to compressed sensing, isogeometric research, anisotropic areas, radial foundation capabilities and splines. Classical and summary approximation is additionally integrated. The booklet can be of curiosity to mathematicians, engineers\ and computing device scientists operating in approximation concept, computer-aided geometric layout, numerical research and comparable program areas.

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IEEE Trans. Image Process. 14(12), 2091–2106 (2005) 8. : Curvelets and ridgelets. Encyclopedia of Complexity and Systems Science, vol. 3, pp. 1718–1738. Springer, New York (2007) 9. : Multidimensional periodic multiwavelets. J. Approx. Theory 98(1), 72–103 (1999) 10. : Analysis and detection of surface discontinuities using the 3D continuous shearlet transform. Appl. Comput. Harmon. Anal. 30(2), 231–242 (2010) 11. : Wavelets with composite dilations and their MRA properties. Appl. Comput. Harmon.

Image Process. 14(12), 2091–2106 (2005) 8. : Curvelets and ridgelets. Encyclopedia of Complexity and Systems Science, vol. 3, pp. 1718–1738. Springer, New York (2007) 9. : Multidimensional periodic multiwavelets. J. Approx. Theory 98(1), 72–103 (1999) 10. : Analysis and detection of surface discontinuities using the 3D continuous shearlet transform. Appl. Comput. Harmon. Anal. 30(2), 231–242 (2010) 11. : Wavelets with composite dilations and their MRA properties. Appl. Comput. Harmon. Anal. 20(2), 202–236 (2006) 12.

These algorithms are studied theoretically in the following sections in both uniform (see Sect. 3) and nonuniform settings (Sect. 4). Finally, Sect. 5 compares and validates numerically our findings. Throughout this paper we use the following notations: • x→ represents the nonincreasing rearrangement of a vector x: x1→ ∞ x2→ ∞ · · · ∞ x N→ ∞ 0 • • • • • and there exists a permutation ∂ of {1, . . , N } such that x →j = |x∂( j) |. S is the support of an s-sparse vector x or the set of indices of its s largest absolute entries.

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Approximation Theory XIV: San Antonio 2013 by Gregory E. Fasshauer, Larry L. Schumaker


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