• DocumentCode
    935732
  • Title

    C*-algebra of strong limit power functions

  • Author

    Zhang, Chuanyi ; Meng, Chenhui

  • Author_Institution
    Dept. of Math., Harbin Inst. of Technol., China
  • Volume
    51
  • Issue
    5
  • fYear
    2006
  • fDate
    5/1/2006 12:00:00 AM
  • Firstpage
    828
  • Lastpage
    831
  • Abstract
    Motivated by problems in robust control of power signal set H2 (e.g,, H2 is not a vector space, Fourier analysis cannot be carried out on H2 in general), we study those functions in H2 which we call strong limit power. We show that the set of all such functions is a sufficiently large C*-algebra. Fourier Analysis is carried out on the functions. In particular, the uniqueness of the Fourier expansion of a strong limit power function is established. Finally we point out how to analyze and reconstruct such functions.
  • Keywords
    Fourier analysis; algebra; robust control; C*-algebra; Fourier analysis; limit power functions; robust control; Fourier series; Functional analysis; Mathematics; Polynomials; Robust control; Signal analysis; Compactification; Fourier series; Gelfand space; strong limit power function;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2006.875016
  • Filename
    1632314
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=935732