@article{10_21136_CMJ_1977_101451,
author = {Brown, Richard C. and Krall, Allan M.},
title = {On minimizing the sum of squares of $\Cal L^2$ norms of differential operators under constraints},
journal = {Czechoslovak Mathematical Journal},
pages = {132--143},
year = {1977},
volume = {27},
number = {1},
doi = {10.21136/CMJ.1977.101451},
mrnumber = {0430395},
zbl = {0369.34007},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1977.101451/}
}
TY - JOUR AU - Brown, Richard C. AU - Krall, Allan M. TI - On minimizing the sum of squares of $\Cal L^2$ norms of differential operators under constraints JO - Czechoslovak Mathematical Journal PY - 1977 SP - 132 EP - 143 VL - 27 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1977.101451/ DO - 10.21136/CMJ.1977.101451 LA - en ID - 10_21136_CMJ_1977_101451 ER -
%0 Journal Article %A Brown, Richard C. %A Krall, Allan M. %T On minimizing the sum of squares of $\Cal L^2$ norms of differential operators under constraints %J Czechoslovak Mathematical Journal %D 1977 %P 132-143 %V 27 %N 1 %U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1977.101451/ %R 10.21136/CMJ.1977.101451 %G en %F 10_21136_CMJ_1977_101451
Brown, Richard C.; Krall, Allan M. On minimizing the sum of squares of $\Cal L^2$ norms of differential operators under constraints. Czechoslovak Mathematical Journal, Tome 27 (1977) no. 1, pp. 132-143. doi: 10.21136/CMJ.1977.101451
[1] L. D. Berkovitz, H. Pollard: A nonclassical variational problem arising from an optimal filter problem II. Arch. Ratl. Mech. Anal. 38 (1970), 161-172. | DOI | MR
[2] R. С. Brown: Duality theory for $n$-th order differential operators under Stieltjes boundary conditions. S.I.A.M. J. Math. Anal., to appear. | MR | Zbl
[3] R. C. Brown: Duality theory for $n$-th order differential operators under Stieltjes boundary conditions, II: Nonsmooth coefficients and nonsingular measures. Ann. Mat. Рurа. Appl., to appear. | MR | Zbl
[4] R. C. Brown: Adjoint domains and generalized splines. Czech. Math. J., 25 (1975), 134-147. | MR | Zbl
[5] N. Dunford, J. T. Schwartz: Linear operators. Part 1, Interscience, New York, 1975.
[6] S. Goldberg: Unbounded linear operators. McGraw-Hill, New York, 1966. | MR | Zbl
[7] M. Golomb, J. Jerome: Linear ordinary differential equations with boundary conditions on arbitrary point sets. Trans. Amer. Math. Soc., 153 (1971), 235 - 264. | DOI | MR | Zbl
[8] A. M. Krall, R. С Brown: $n$-th order differential systems under Stieltjes boundary conditions. MRC Tech. Summ. Rept. #1581.
[9] D. G. Lunberger: Optimization by vector space methods. John Wiley, New York, 1969. | MR
[10] L. Schumaker: Spline functions: Theory and applications. in press.
Cité par Sources :