Research interests:
- Nonlineal functional analysis.
- Global analysis.
- Infinite dimensional functional analysis.
- Differentiability in Banach spaces.
- Polynomials and multilinear analysis in Banach spaces.
Main recent publications:
- Garrido, I.; Jaramillo, J. A.; Rangel, Y. "Algebras of differentiable functions on Riemannian manifolds". Bull. Lond. Math. Soc. 41 (2009) pg. 993–1001
- Durand-Cartagena, E.; Jaramillo, J. A. "Pointwise Lipschitz functions on metric spaces". J. Math. Anal. Appl. 363 (2010) pg. 525–548.
- J.A. Jaramillo, A. Prieto and I. Zalduendo:
Linearization and compactness, Studia Math. 191 (2009), no. 2, 181-200.
- V. Dimant, R. Gonzalo and J.A. Jaramillo:
Asymptotic structure, lp-estimates of sequences, and
compactness of multilinear mappings, J. Math. Anal. Appl. 350
(2009), no. 2, 680-693.
- R. Deville and J.A. Jaramillo, Almost
classical solutions of Hamilton-Jacobi equations, Rev. Mat. Iberoam. 24 (2008), no. 3, 989-1010.
- M.I. Garrido and J.A. Jaramillo: Lipschitz-type functions on metric spaces, J. Math. Anal. Appl.
340 (2008), no. 1, 282-290.
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