CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  PublicationsjournalsCJM
Abstract view

Closed and Exact Functions in the Context of Ginzburg--Landau Models

  Published:2008-06-01
 Printed: Jun 2008
  • Anamaria Savu
Format:   HTML   LaTeX   MathJax   PDF   PostScript  

Abstract

For a general vector field we exhibit two Hilbert spaces, namely the space of so called \emph{closed functions} and the space of \emph{exact functions} and we calculate the codimension of the space of exact functions inside the larger space of closed functions. In particular we provide a new approach for the known cases: the Glauber field and the second-order Ginzburg--Landau field and for the case of the fourth-order Ginzburg--Landau field.
Keywords: Hermite polynomials, Fock space, Fourier coefficients, Fourier transform, group of symmetries Hermite polynomials, Fock space, Fourier coefficients, Fourier transform, group of symmetries
MSC Classifications: 42B05, 81Q50, 42A16 show english descriptions Fourier series and coefficients
Quantum chaos [See also 37Dxx]
Fourier coefficients, Fourier series of functions with special properties, special Fourier series {For automorphic theory, see mainly 11F30}
42B05 - Fourier series and coefficients
81Q50 - Quantum chaos [See also 37Dxx]
42A16 - Fourier coefficients, Fourier series of functions with special properties, special Fourier series {For automorphic theory, see mainly 11F30}
 

© Canadian Mathematical Society, 2014 : https://cms.math.ca/