Publicaciones (publications)

• Calculus off the Beaten Path: A Journey Through Its Fundamental Ideas. Springer Undergraduate Mathematics Series, 1st. edition, (2022).

• Matemática para Iñaki. Fondo de Cultura Económica, México, (2017).

• Farkas’ Lemma in the bilinear setting and evaluation functionals. Co-authors: R. Aron, D. García and Damián Pinasco (a aparecer). 
  

• On the minimal number of moments required to recover the sublevel set of a homogeneous polynomial. Co-author: Damián Pinasco. Bull. of the Iranian Math. Soc., DOI 10.1007/s41980-021-00650-3, (2021).

• Orthant Probabilities and the attainment of maxima on a vertex of a simplex. Co-authors: Damián Pinasco and Ezequiel Smucler. Linear Algebra and its Applications, 610, 785-803, (2021).
  

• Linear and bilinear operators and their zero-sets. Co-author: Damián Pinasco. Revista Matemática Complutense, 34, 131-149, (2021).

• The spectra of algebras of group-symmetric functions. Co-authors: Domingo García and Manuel Maestre. Proceedings of the Edinburgh Math. Soc., 62 (3), 609-623, (2019).
  

• On the measure of polynomials attaining maxima on a vertex. Co-author: Damián Pinasco. Mathematical Inequalities & Applications, 22, no 2, 421-432, (2019).
  

• Tchakaloff's theorem and K-integral polynomials in Banach spaces. Co-author: Damián Pinasco. Proceedings of the Amer. Math. Soc., 145 (8), 3395-3408, (2017).
  
  
• Group-symmetric holomorphic functions on a Banach space. Co-authors: Richard Aron, Pablo Galindo and Damián Pinasco. Bull. of the London Mathematical Society, vol. 48(5), pp. 779-796, (2016).
  
  
• Lagrange approximation in Banach spaces. Co-authors: Lisa Nilsson and Damián Pinasco. Czech. Math. Jour., 65 (140), no. 1, pp. 281-288, (2015).
  
  
• Algebras of functions with prescribed radii of boundedness and the spectra of H(U). Co-authors: Domingo García and Manuel Maestre. Ann. Acad. Scientiarum Fennicæ, vol. 37, pp. 1-16, (2012).
  
  
• Orthogonally additive holomorphic functions on open subsets of C(K). Co-authors: Jesús Ángel Jaramillo and Ángeles Prieto. Revista Matemática Complutense, 25(1), pp. 31-41, (2012).
  
  
• A probabilistic approach to polynomial inequalities. Co-author: Damián Pinasco. Israel Jour. of Mathematics, vol. 190, pp. 67-82, (2012).
  
  
• Orthogonally additive holomorphic functions of bounded type over C(K). Co-authors: Daniel Carando and Silvia Lassalle. Proc. of the Edinburgh Math. Soc., (Series 2) (53), pp. 609-618, (2010).
  
  
• Linearization and compactness. Co-authors: Jesús Ángel Jaramillo and Ángeles Prieto. Studia Math., 191(2),  pp. 181-200, (2009).
  
  
• A multilinear Phelps' lemma. Co-authors: Richard Aron, Antonia Cardwell and Domingo García. Proc. of the Amer. Math. Soc., 135(8), pp. 2549-2554, (2007).
  
  
• Orthogonally additive polynomials over C(K) are measures -a short proof. Co-authors: Daniel Carando and Silvia Lassalle. Integral Eq. and Operator Theory, 56, pp. 597-602, (2006).
  
  
• Extending polynomials on Banach spaces -a survey. Revista de la Unión Matemática Argentina, 46(2), pp. 45-72, (2005).
  
  
• Integral representation of holomorphic functions on Banach spaces. Co-author: Damián Pinasco. Jour. of Math. Analysis and Appl., 308, pp. 159-174, (2005).
  
  
• Linearization of functions. Co-author: Daniel Carando. Math. Ann., 328, pp. 683-700, (2004).
  
  
• Integral Holomorphic Functions. Co-authors: Verónica Dimant, Pablo Galindo and Manuel Maestre. Studia Math., 160, pp. 83-99, (2004).
  
  
• Zeros of polynomials on Banach spaces -the real story. Co-authors: Richard Aron, C. Boyd and R. Ryan. Positivity, 7(4), pp. 285-295, (2003).
  
  
• Where do homogeneous polynomials attain their norm?. Co-author: Daniel Carando. Publ. Math. Debrecen, 62(1-2), pp. 19-28, (2003).To what extent does the dual Banach space E´ determine the polynomials over E?. Co-author: Silvia Lassalle. Arkiv för Mat. 38(2), pp. 343-354, (2000).
  
  
• Sequential convergences and Dunford-Pettis properties. Co-authors: Jesús Ángel Jaramillo and Ángeles Prieto. Ann. Acad. Scientiarum Fennicæ, vol. 25, pp. 467-475, (2000).
  
  
• Ceros de polinomios sobre espacios de Banach. Anales de la Acad. Nac. de Ciencias de Buenos Aires, (1999).
  
  
• A Hahn-Banach theorem for integral polynomials. Co-author: Daniel Carando. Proc. of the Amer. Math. Soc., 127, pp. 241-250, (1999).
  
  
• Extending polynomials-a survey. Publ. Dep. An. Mat. UCM, secc. 1, Num. 41, (1998).
  
  
• The bidual of the space of polynomials on a Banach space. Co-authors: Jesús Ángel Jaramillo and Ángeles Prieto. Math. Proc. Cambridge Phil. Soc., 122, 457-471, (1997).
  
  
• Bases in spaces of multilinear forms over Banach spaces. Co-author: Verónica Dimant. Jour. of Math. Analysis and Appl., 200, pp. 548-566, (1996).
  
  
• Dualidad y extensiones en holomorfía infinita. Rev. Colombiana Mat. vol. XXVII, pp. 131-135, (1993).
  
  
• An estimate for multilinear forms on ℓp-spaces. Proc. Royal Irish Acad., vol. 93A, #1, pp. 137-142, (1993).
  
  
• Extensiones de formas multilineales y funciones analíticas sobre espacios de Banach. Public. del Centro Latinoamericano de Matemática e Informática, #17, pp. 79-85, (1992).
  
  
• Polynomial norms and coefficients. Co-author: Richard Aron. Extracta Mathematicæ, vol. II Congreso de Análisis Funcional, Jarandilla, España, pp. 13-20, (1992).
  
  
• A simple example of a non-commutative Arens product. Publicacions Matemàtiques, vol. 35, pp. 475-477, (1991).
  
  
• A canonical extension for analytic functions on Banach spaces. Trans. Of the Amer. Math. Soc., vol. 320, #2, pp. 747-764, (1990).
  
  
• Sheaves and functional calculus. Co-authors: G. Deferrari and Ángel Larotonda. Pacific Jour. of Math., vol 141, #2, pp. 279-286, (1990).
  
  
• A geometric condition equivalent to commutativity in Banach algebras. Studia Math., vol. 94(f.2), pp. 187-192, (1989).
  
  
• Homogeneous spectral sets and local-global methods in Banach algebras. Co-author: Ángel Larotonda. Pacific Jour. of Math., vol. 134, #1, pp. 133-150, (1988).
  
  
• A localization for m-convex algebras. Co-author: Ángel Larotonda. Preprint.
  
  
• Spectral sets as Banach manifolds. Co-author: Ángel Larotonda. Pacific Jour. of Math., vol. 120, #2, pp. 401-416, (1985).
  
  
• The holomorphic functional calculus. Co-author: Ángel Larotonda. Rev. de la UMA, vol. 31, pp. 139-148, (1984).
  
  
• Continuity of characters in products of algebras. Co-author: Ángel Larotonda. Comment. Math. Univ. Carolinæ 24,3, pp. 453-459, (1983).
  
  
• Continuidad automática en productos de álgebras. Co-author: Ángel Larotonda. Math. NotæXXIX, pp. 77-80, (1981/82).