On the Legendre and Laplace transformations

Lars Hörmander

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1997)

  • Volume: 25, Issue: 3-4, page 517-568
  • ISSN: 0391-173X

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Hörmander, Lars. "On the Legendre and Laplace transformations." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 25.3-4 (1997): 517-568. <http://eudml.org/doc/84304>.

@article{Hörmander1997,
author = {Hörmander, Lars},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {concave function; plurisubharmonic function; Legendre transformation; Laplace transformation},
language = {eng},
number = {3-4},
pages = {517-568},
publisher = {Scuola normale superiore},
title = {On the Legendre and Laplace transformations},
url = {http://eudml.org/doc/84304},
volume = {25},
year = {1997},
}

TY - JOUR
AU - Hörmander, Lars
TI - On the Legendre and Laplace transformations
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1997
PB - Scuola normale superiore
VL - 25
IS - 3-4
SP - 517
EP - 568
LA - eng
KW - concave function; plurisubharmonic function; Legendre transformation; Laplace transformation
UR - http://eudml.org/doc/84304
ER -

References

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  1. [1] W. Fenchel, On conjugate convex functions, Canad. J. Math.1 (1949), 73-77. Zbl0038.20902MR28365
  2. [2] W. Fenchel, Convex cones, sets and functions, Mimeographed lecture notes, Princeton University, 1953. Zbl0053.12203
  3. [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. Nauk8 (1953), 3-54. Zbl0077.10401MR61694
  4. [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. [5] L. Hörmander, La transformation de Legendre et le théorème de Paley-Wiener, C. R. Acad. Sci. Paris240 (1955), 392-395. Zbl0064.10301MR67374
  6. [6] L. Hörmander, Notions of Convexity, Birkhäuser, 1994. Zbl0835.32001MR1301332
  7. [7] B.J. Lewin, Nullstellenverteilung Ganzer Funktionen, Akademie-Verlag, Berlin, 1962. Zbl0111.07301MR150301
  8. [8] S. Mandelbrojt, Sur les fonctions convexes, C. R. Acad. Sci. Paris209 (1939), 977-978. Zbl0024.30402MR846JFM65.1187.01
  9. [9] R.T. Rockafellar, Minimax theorems and conjugate saddle-functions, Math. Scand.14 (1964), 151-173. Zbl0127.28309MR175037
  10. [10] R.T. Rockafellar, A general correspondence between dual minimax problems and convex programs, Pacific J. Math.25 (1968), 597-611. Zbl0162.23103MR230548
  11. [11] C.L. Siegel, Symplectic geometry, Amer. J. Math.65 (1943), 1-86. Zbl0138.31401MR8094
  12. [12] O. Thorin, Convexity theorems generalizing those of M. Riesz and Hadamard with some applications, Medd. Lunds Univ. Mat. Sem.9 (1948), 1-58. Zbl0034.20404MR25529

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