A note on Tchakaloff's theorem

被引：47
|
作者：
Putinar, M
机构：
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1997年 / 125卷 / 08期
关键词：
D O I：
10.1090/S0002-9939-97-03862-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A classical result of Tchakaloff on the existence of exact quadrature formulae up to a given degree is extended to positive measures without compact support. A criterion for the existence of Gaussian quadratures for a class of such measures is also derived from the main proof.
引用
收藏
页码：2409 / 2414
页数：6
相关论文
共 50 条
  • [1] The proof of Tchakaloff's theorem
    Bayer, Christian
    Teichmann, Josef
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2006, 134 (10) : 3035 - 3040
  • [2] A duality proof of Tchakaloff's theorem
    Curto, RE
    Fialkow, LA
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 269 (02) : 519 - 532
  • [3] COMPRESSED SAMPLING INEQUALITIES BY TCHAKALOFF'S THEOREM
    Vianello, Marco
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2016, 19 (01): : 395 - 400
  • [4] An operator-valued generalization of Tchakaloff's theorem
    Kimsey, David P.
    JOURNAL OF FUNCTIONAL ANALYSIS, 2014, 266 (03) : 1170 - 1184
  • [5] Generalized Tchakaloff's Theorem for semi-spectral measures
    Wang, LC
    Chen, CR
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 131 (07) : 2201 - 2207
  • [6] TCHAKALOFF'S THEOREM AND K-INTEGRAL POLYNOMIALS IN BANACH SPACES
    Pinasco, Damian
    Zalduendo, Ignacio
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 145 (08) : 3395 - 3408
  • [7] A Note on Lawton's Theorem
    Dobrowolski, Edward
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2017, 60 (03): : 484 - 489
  • [8] Note on Cowling's theorem
    Ingraham, R.L.
    Physica Scripta, 1995, 52 (01):
  • [9] A Note on Schnyder's Theorem
    Barrera-Cruz, Fidel
    Haxell, Penny
    ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2011, 28 (02): : 221 - 226
  • [10] A NOTE ON KNESER'S THEOREM
    Chen, Xuesheng
    Yuan, Pingzhi
    JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2006, 6 (01): : 77 - 83
12345