The volume of restricted moment spaces

  • A. S. Cavaretta
  • W. Dahmen
  • C. A. Micchelli


In this paper we compute the volume of restricted moment spaces under very general conditions on the functions generating the moment space.


Isoperimetric Inequality Close Convex Cone Positive Borel Measure Volume Question Arbitrary Continuous Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Andrews G.E.,q-Series: Their development and application in analysis, number theory, combinatoric, physics, and computer algebra, Conference Board of the Mathematical Sciences Vol. 66,0 AMS, pp. 48–51.Google Scholar
  2. [2]
    Dahmen W., Micchelli C.A..On the local linear independence of the translates of a box spline, Studia Mathematica85 (1985), 243–262.MathSciNetMATHGoogle Scholar
  3. [3]
    Karlin S., Shapley L.S.,Geometry of Moment Spaces, Mem. Am. Math. Soc. No. 12, 1953.Google Scholar
  4. [4]
    Karlin, S., Studden W.J.,Tchebycheff Systems: with Applications in Analysis and Statistics John Wiley & Sons, N.Y., 1966.MATHGoogle Scholar
  5. [5]
    Pólya, G., Szegö, G.,Aufgaben und Lehrsätze aus der Analysis, Vol. 1, Springer, Berlin, 1925.CrossRefMATHGoogle Scholar
  6. [6]
    Schoenberg, I.J.,An isoperimetric inequality for closed curves convex in even-dimensional Euclidean spaces, Acta Math.91 (1954), 143–164.MathSciNetCrossRefMATHGoogle Scholar
  7. [7]
    Selberg A.,Bermerkninger om et multipett integral, Norsk Mat. Tidsskr.26 (1944), 71–78.MathSciNetGoogle Scholar
  8. [8]
    Shephard G.C.,Combinatorial properties of associated zonotopes, Canadian J. Math.24 (1974), 302–331.MathSciNetCrossRefMATHGoogle Scholar

Copyright information

© Springer 1989

Authors and Affiliations

  • A. S. Cavaretta
    • 1
  • W. Dahmen
    • 2
  • C. A. Micchelli
    • 3
  1. 1.Kent State UniversityKentUSA
  2. 2.Freie UniversitätBerlinFRG
  3. 3.IBM Research DivisionT.J. Watson Research CenterYorktown HeightsUSA

Personalised recommendations