Gaussian kernels have only Gaussian maximizers.

Elliot H. Lieb

Inventiones mathematicae (1990)

  • Volume: 102, Issue: 1, page 179-208
  • ISSN: 0020-9910; 1432-1297/e

How to cite


Lieb, Elliot H.. "Gaussian kernels have only Gaussian maximizers.." Inventiones mathematicae 102.1 (1990): 179-208. <>.

author = {Lieb, Elliot H.},
journal = {Inventiones mathematicae},
keywords = {Fourier integral; Gaussian function; maximizer; Gaussian integral kernel; Fourier transform kernel; Young's inequality},
number = {1},
pages = {179-208},
title = {Gaussian kernels have only Gaussian maximizers.},
url = {},
volume = {102},
year = {1990},

AU - Lieb, Elliot H.
TI - Gaussian kernels have only Gaussian maximizers.
JO - Inventiones mathematicae
PY - 1990
VL - 102
IS - 1
SP - 179
EP - 208
KW - Fourier integral; Gaussian function; maximizer; Gaussian integral kernel; Fourier transform kernel; Young's inequality
UR -
ER -

Citations in EuDML Documents

  1. Stefán Ingi Valdimarsson, On the hessian of the optimal transport potential
  2. D. Bakry, D. Concordet, M. Ledoux, Optimal heat kernel bounds under logarithmic Sobolev inequalities
  3. Joachim Toft, Subalgebras to a Wiener type algebra of pseudo-differential operators
  4. Carbery, Anthony, The Brascamp–Lieb inequalities: recent developments
  5. Florin Avram, Nikolai Leonenko, Ludmila Sakhno, On a Szegö type limit theorem, the Hölder-Young-Brascamp-Lieb inequality, and the asymptotic theory of integrals and quadratic forms of stationary fields
  6. John Gilbert, Ziemowit Rzeszotnik, The norm of the Fourier transform on finite abelian groups
  7. Bernard Maurey, Inégalité de Brunn-Minkowski-Lusternik, et autres inégalités géométriques et fonctionnelles
  8. Michel Ledoux, The geometry of Markov diffusion generators
  9. Franck Barthe, Autour de l'inégalité de Brunn-Minkowski

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