Wavelet approach to accelerator problems. 2: Metaplectic wavelets

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This is the second part of a series of talks in which the authors present applications of wavelet analysis to polynomial approximations for a number of accelerator physics problems. According to the orbit method and by using construction from the geometric quantization theory they construct the symplectic and Poisson structures associated with generalized wavelets by using metaplectic structure and corresponding polarization. The key point is a consideration of semidirect product of Heisenberg group and metaplectic group as subgroup of automorphisms group of dual to symplectic space, which consists of elements acting by affine transformations.

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6 p.

Creation Information

Fedorova, A.; Zeitlin, M. & Parsa, Z. May 1, 1997.

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This article is part of the collection entitled: Office of Scientific & Technical Information Technical Reports and was provided by UNT Libraries Government Documents Department to Digital Library, a digital repository hosted by the UNT Libraries. More information about this article can be viewed below.

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  • Fedorova, A.
  • Zeitlin, M. Russian Academy of Sciences, St. Petersburg (Russian Federation). Inst. of Problems of Mechanical Engineering
  • Parsa, Z. Brookhaven National Lab., Upton, NY (United States). Dept. of Physics

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Description

This is the second part of a series of talks in which the authors present applications of wavelet analysis to polynomial approximations for a number of accelerator physics problems. According to the orbit method and by using construction from the geometric quantization theory they construct the symplectic and Poisson structures associated with generalized wavelets by using metaplectic structure and corresponding polarization. The key point is a consideration of semidirect product of Heisenberg group and metaplectic group as subgroup of automorphisms group of dual to symplectic space, which consists of elements acting by affine transformations.

Physical Description

6 p.

Notes

INIS; OSTI as DE97007727

Source

  • 17. IEEE particle accelerator conference, Vancouver (Canada), 12-16 May 1997

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  • Other: DE97007727
  • Report No.: BNL--64502
  • Report No.: CAP--171-MISC-97C;CONF-970503--
  • Grant Number: AC02-76CH00016
  • Office of Scientific & Technical Information Report Number: 634039
  • Archival Resource Key: ark:/67531/metadc695231

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Creation Date

  • May 1, 1997

Added to The UNT Digital Library

  • Aug. 14, 2015, 8:43 a.m.

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  • Aug. 23, 2016, 3:26 p.m.

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Fedorova, A.; Zeitlin, M. & Parsa, Z. Wavelet approach to accelerator problems. 2: Metaplectic wavelets, article, May 1, 1997; Upton, New York. (digital.library.unt.edu/ark:/67531/metadc695231/: accessed August 21, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.