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Original Articles

The Monge–Ampère equation in transformation theory and an application to -probabilities

Pages 2037-2054 | Received 21 Dec 2014, Accepted 02 Apr 2015, Published online: 30 Mar 2016

References

  • Anonymous. Available at: http://www.matrixlab-examples.com/simple-animation.html.
  • Aubin, T. (1982). Nonlinear Analysis on Manifolds. Monge-Ampère Equations, Grundlehren der mathematischen Wissenschaften, vol. 252. Berlin and New York: Springer-Verlag.
  • Brenier, Y. (1991). Polar factorization and monotone rearrangement of vector-valued functions. Commun. Pure Appl. Math. 44(4):375–417.
  • Casella, G., Berger, R.L. (2002). Statistical Inference. 2nd ed. Pacific Grove, CA: Duxbury.
  • Courant, R., Hilbert, D. (2008). Methods of Mathematical Physics, Volume 2. New York: John Wiley and Sons.
  • Chou, K.S., Wang, X.J. (1996). Entire solutions of the Monge–Ampère equation. Commun. Pure Appl. Math. 49:529–539.
  • Figalli, A., De Philippis, G. The Monge-Ampère equation and its link to optimal transportation. Bull. Am. Math. Soc. to appear.
  • Gilbarg, D., Trudinger, N.S. (2001). Elliptic Partial Differential Equations of Second Order. Berlin, Heidelberg, New York, Tokyo: Springer-Verlag.
  • Polyanin, A.D., Zaitsev, V.F. (2004). Handbook of Nonlinear Partial Differential Equations. Boca Raton, FL: Chapman and Hall/CRC.
  • Selvitella, A. The Maximal Strichartz Family of Gaussian Distributions, International Journal of Differential Equations. Accepted.
  • Selvitella, A. On -Characteristic Functions and Applications to Asymptotic Statistical Inference, Communications in Statistics-Theory and Methods. Accepted.

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