On variation-diminishing properties of Green's functions.
Bellman, Richard
Bollettino dell'Unione Matematica Italiana, Tome 16 (1961), p. 164-166 / Harvested from Biblioteca Digitale Italiana di Matematica
Access to full text
Full (PDF)
Full (DjVu)
Publié le : 1961-06-01
@article{BUMI_1961_3_16_2_164_0,
     author = {Richard Bellman},
     title = {On variation-diminishing properties of Green's functions.},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {16},
     year = {1961},
     pages = {164-166},
     zbl = {0099.06805},
     mrnumber = {130429},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_1961_3_16_2_164_0}
}

Bellman, Richard. On variation-diminishing properties of Green's functions.. Bollettino dell'Unione Matematica Italiana, Tome 16 (1961) pp. 164-166. http://gdmltest.u-ga.fr/item/BUMI_1961_3_16_2_164_0/

[1] Gantmakher, F. R. and Krein, M. G., Oszillationsmatrizen..., Akademie-Verlag, Berlin, 1960.

[2] Schoenberg, I. J., On smoothing operations and their generating functions, «Bull. Amer. Math. Soc.», vol. 59, 1953, pp. 199-230. | MR 56042 | Zbl 0050.28703

[3] Aronszajn, N. and Smith, K. T., A Characterisation of Positive Reproducing Kernels. Application to Greens' Functions Studies in Eigenvalue Problems, Technical Report 15, University of Kansas, 1956. | Zbl 0079.13603

[4] Karlin, S. and Macgregor, J., Coincidence Probabilities, Stanford University Techical Report 8, 1958. | Zbl 0092.34503

[5] Bellman, R., On the non-negativity of Green's functions, «Bollettino Unione Matematica Italiana», vol. 12, 1957, pp. 411-418. | MR 104860 | Zbl 0085.31202