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Microlocal analysis in generalized function algebras based on generalized points and generalized directions

Hans Vernaeve (UGent)
(2016) MONATSHEFTE FUR MATHEMATIK. 181. p.205-215
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FWO 1.5.138.13N
Abstract
We develop a refined theory of microlocal analysis in the algebra G(Ω) of Colombeau generalized functions. In our approach, the wave front is a set of generalized points in the cotangent bundle of Ω, whereas in the theory developed so far, it is a set of nongeneralized points. We also show consistency between both approaches.
Keywords
Microlocal analysis, Algebras of generalized functions, COEFFICIENTS

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Citation

Please use this url to cite or link to this publication:

Chicago
Vernaeve, Hans. 2016. “Microlocal Analysis in Generalized Function Algebras Based on Generalized Points and Generalized Directions.” Monatshefte Fur Mathematik 181: 205–215.
APA
Vernaeve, H. (2016). Microlocal analysis in generalized function algebras based on generalized points and generalized directions. MONATSHEFTE FUR MATHEMATIK, 181, 205–215.
Vancouver
1.
Vernaeve H. Microlocal analysis in generalized function algebras based on generalized points and generalized directions. MONATSHEFTE FUR MATHEMATIK. 2016;181:205–15.
MLA
Vernaeve, Hans. “Microlocal Analysis in Generalized Function Algebras Based on Generalized Points and Generalized Directions.” MONATSHEFTE FUR MATHEMATIK 181 (2016): 205–215. Print.
@article{7258152,
  abstract     = {We develop a refined theory of microlocal analysis in the algebra G(\ensuremath{\Omega}) of Colombeau generalized functions. In our approach, the wave front is a set of generalized points in the cotangent bundle of \ensuremath{\Omega}, whereas in the theory developed so far, it is a set of nongeneralized points. We also show consistency between both approaches.},
  author       = {Vernaeve, Hans},
  issn         = {0026-9255},
  journal      = {MONATSHEFTE FUR MATHEMATIK},
  keyword      = {Microlocal analysis,Algebras of generalized functions,COEFFICIENTS},
  language     = {eng},
  pages        = {205--215},
  title        = {Microlocal analysis in generalized function algebras based on generalized points and generalized directions},
  url          = {http://dx.doi.org/10.1007/s00605-015-0831-7},
  volume       = {181},
  year         = {2016},
}

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