Hörmander, Lars
On the Legendre and Laplace transformations
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4 : Tome 25 (1997) no. 3-4 , p. 517-568
Zbl 1016.44003 | MR 1655531
URL stable : http://www.numdam.org/item?id=ASNSP_1997_4_25_3-4_517_0

Bibliographie

[1] W. Fenchel, On conjugate convex functions, Canad. J. Math. 1 (1949), 73-77. MR 28365 | Zbl 0038.20902

[2] W. Fenchel, Convex cones, sets and functions, Mimeographed lecture notes, Princeton University, 1953. Zbl 0053.12203

[3] I.M. Gelfand - G. E. ŠILOV, Fourier transforms of rapidly increasing functions and the question on the uniqueness of Cauchy's problem, Uspehi Mat. Nauk 8 (1953), 3-54. MR 61694 | Zbl 0077.10401

[4] I.M. Gelfand - G.E. Šilov, Generalized Functions III. Theory of Differential Equations, Academic Press, New York, London, 1967. Translated from the Russian 1958 edition and the German 1964 edition.

[5] L. Hörmander, La transformation de Legendre et le théorème de Paley-Wiener, C. R. Acad. Sci. Paris 240 (1955), 392-395. MR 67374 | Zbl 0064.10301

[6] L. Hörmander, Notions of Convexity, Birkhäuser, 1994. MR 1301332 | Zbl 0835.32001

[7] B.J. Lewin, Nullstellenverteilung Ganzer Funktionen, Akademie-Verlag, Berlin, 1962. MR 150301 | Zbl 0111.07301

[8] S. Mandelbrojt, Sur les fonctions convexes, C. R. Acad. Sci. Paris 209 (1939), 977-978. JFM 65.1187.01 | MR 846 | Zbl 0024.30402

[9] R.T. Rockafellar, Minimax theorems and conjugate saddle-functions, Math. Scand. 14 (1964), 151-173. MR 175037 | Zbl 0127.28309

[10] R.T. Rockafellar, A general correspondence between dual minimax problems and convex programs, Pacific J. Math. 25 (1968), 597-611. MR 230548 | Zbl 0162.23103

[11] C.L. Siegel, Symplectic geometry, Amer. J. Math. 65 (1943), 1-86. MR 8094 | Zbl 0138.31401

[12] O. Thorin, Convexity theorems generalizing those of M. Riesz and Hadamard with some applications, Medd. Lunds Univ. Mat. Sem. 9 (1948), 1-58. MR 25529 | Zbl 0034.20404