Preprints

[42] Nikolov, N., Pflug, P., Thomas, P. J.  Spectral Nevanlinna-Pick and Carath?dory-Fej? problems.
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[41] Nikolov, N., Pflug, P., Thomas, P. J. On different extremal bases for C-convex domains.
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[40] Borichev, A., Lyubarskii, Yu., Malinnikova, E., Thomas, P. J. Radial growth of functions from the Korenblum space. 

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Publications

            [39] Nikolov, N., Thomas, P. J. Separate continuity of the Lempert function of the spectral ball,
to appear in Journal of Mathematical Analysis and its Applications.
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[38] Thomas, P. J., Nguyen Van Trao. Discontinuity of the Lempert function of the spectral ball,
to appear in Proceedings of the American Mathematical Society.
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[37] Nikolov, N., Pflug, P., Thomas, P. J. Upper bound for the Lempert function of smooth domains, to appear in Mathematisches Zeitschrift.
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[36] Nikolov, N., Pflug, P., Thomas, P. J., Zwonek, W. On a local characterization of pseudoconvex domains, Indiana University Mathematics Journal, Vol. 58, no. 6, 2661-2672, 2009.
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[35] Nikolov, N., Pflug, P., Thomas, P. J. Lipschitzness of the Lempert and Green functions, Proceedings of the American Mathematical Society, Volume 137, no. 6, pp. 2027-2036, 2009.
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[34] Thomas, P. J., Nguyen Van Trao. Convergence and multiplicities for the Lempert function, Arkiv f? Matematik, Volume 47, no.1, pp. 183-204, 2009.
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[33] Nikolov, N., Thomas, P. J., Zwonek, W. Discontinuity of the Lempert function and the Kobayashi-Royden metric of the spectral ball, Integral Equations and Operator Theory, Vol. 61, no. 3, pp. 401-412, 2008.
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[32] Thomas, P. J. A local form for the automorphisms of the spectral unit ball, Collectanea Mathematica, Vol. 59, no. 3, pp. 321-324, 2008.
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[31] Nikolov, N., Thomas, P. J. On the zero set of the Kobayashi-Royden pseudometric of the spectral unit ball, Annales Polonici Mathematici, Vol. 93, no. 1, pp. 53-68, 2008.
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[30] Nikolov, N., Pflug, P., Thomas, P. J., Zwonek, W. Estimates of the Carath?dory metric on the
symmetrized polydisk, Journal of Mathematical Analysis and its Applications, Vol. 341, no. 1, pp. 140-148, 2008.
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[29] Massaneda, X., Thomas, P. J. Sampling sets for the Nevanlinna class, to appear in  Revista Matematica Iberoamericana, Vol. 24, no. 1, pp. 353-385, 2008.
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[28] Thomas, P. J. An example of limit of Lempert functions, Vietnam Journal of Mathematics, Vol. 35, no. 3, pp. 317-330, 2007.
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[27] Massaneda, X., Thomas, P. J. Phragm?-Lindel?-type Problems for A-alpha,  Bergman Spaces and Related Topics in Complex Analysis: Proceedings of a Conference in Honor of Boris Korenblum's 80th Birthday, Israel Mathematics Conference Proceedings (IMCP), Contemporary Mathematics, vol. 404, pp. 153-163, 2006. 
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[26] Borichev, A., Nicolau, A., Thomas, P. J. Harmonic and superharmonic majorants on the disk. Bulletin of the London Mathematical Society, vol. 38, pp. 250-260, 2006.
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[25] Hartmann, A., Massaneda, X., Nicolau, A., Thomas, P. J. Interpolation in the Nevanlinna Class and harmonic majorants. Journal of Functional Analysis, vol 217, pp. 1-37, 2004.
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[24] Eiderman, Vladimir Ya., Thomas, P. J. Equivalence of summatory conditions along sequences for bounded holomorphic functions. Complex Variables, Theory and Applications, vol. 49, no 7-9 (special issue : a tribute to Matts Ess?), pp. 595-611, 2004.
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[23] Pau, J., Thomas, P. J. Decrease of bounded holomorphic functions along discrete sets. Proceedings of the Edinburgh Mathematical Society, vol. 46, pp. 703-718, 2003.

[22] Thomas, P. J. , Nguyen Van Trao. Pluricomplex Green and Lempert functions for equally weighted poles. Arkiv f? Matematik, vol. 41, no. 2, pp. 381-400, 2003.
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[21] Stessin, Michael I., Thomas, P. J. Algebras generated by two bounded holomorphic functions. Journal d’Analyse Math?atique, vol. 90, pp. 89-114, 2003.
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[20] Do Duc Thai, Thomas, P.J. On D*-extension property of the Hartogs domains. Publicacions Matem?iques, vol. 45, no 2, pp. 421-429, 2001.

[19] Nicolau, A., Pau, J., Thomas, P. J. Smallness sets for bounded holomorphic functions. Journal d’Analyse Math?atique, vol. 82, pp. 119-148, 2000.

[18] Massaneda, X., Thomas, P. J. Interpolating Sequences for the Fock spaces in Cⁿ. Indagationes Mathematicae, N.S., vol. 11 (1), pp. 115-127, 2000.

[17] Amar, E., Thomas, P. J. Finite interpolation with minimum uniform norm in Cⁿ. Journal of Functional Analysis, vol. 170, pp. 512-525, 2000.

[16] Massaneda, X., Thomas, P. J. Sampling Sequences for Hardy spaces of the Ball. Proceedings of the American Mathematical Society, vol. 128, no 3, pp. 837-843, 2000.

[15] Le Hai Kh?, Thomas, P. J. Weakly Sufficient sets for A-°(D). Publicacions Matem?iques, vol. 42, pp. 435-448, 1998.

[14] Do Duc Th?, Thomas, P.J. D*-extension property without hyperbolicity. Indiana University Mathematics Journal, vol. 47, no 3, pp. 1125-1130, 1998.

[13] Thomas, P. J. Sampling sets for Hardy spaces of the disk. Proceedings of the American Mathematical Society, vol. 126, pp. 2927-2932, 1998.

[12] Thomas, P. J. Necessary conditions for interpolating sequences. Bulletin of the London Mathematical Society, vol 29 Part 4, pp. 433-442, 1997.

[11] Jevtic, M., Massaneda, X., Thomas, P. J. Interpolating Sequences for the weighted Bergman Spaces of the Ball. Michigan Mathematical Journal, vol. 43, no 3, pp. 495-517, 1996.

[10] Thomas, P. J. Local hull of the union of an open set and a real plane in C2. In G?m?rie complexe (Paris, 1992), pp. 113-122, Actualit? Sci. Indust., 1438, Hermann, Paris, 1996.

[9] Thomas, P. J. Continuity and convergence properties of extremal-interpolating disks. Publicacions Matem?iques, vol. 39, no 2, pp. 335-347, 1995.

[8] Amar, E., Thomas, P. J. A notion of extremal discs related to interpolation in the Ball. Mathematische Annalen, vol. 300, pp. 419-433, 1994.

[7] Thomas, P. J. Unions minimales de n-plans r?ls d'enveloppe ?ale ?Cⁿ , in Proceedings of Symposia in Pure Mathematics vol 52, Part 1, pp 231-244. (Proceedings of the AMS Summer Research Institute on Several Complex Variables and Complex Geometry , August 1989 ; editors: S. Krantz, E. Bedford, J. D'Angelo, R. E. Greene; American Mathematical Society , Providence), 1991.

[6] Thomas, P. J. Enveloppes polynomiales d'unions de plans r?ls dans Cⁿ. Annales de l'Institut Fourier (Grenoble), vol. 40, no 2, pp. 371-390, 1990.

[5] Thomas, P. J. Subset of Hardy Class Zero[-sets] in the Ball. Publicacions Matem?iques, vol. 34, no 1, pp.135-144, 1990.

[4] Thomas, P. J. Hardy Space Interpolating Sequences of Hyperplanes. Pacific Journal of Mathematics, Vol. 140, no 1, pp. 1-17, 1989.

[3] Thomas, P. J. Hardy space interpolation in the unit ball. Indagationes Mathematicae (Proceedings of the Koninklijke Nederlandse Akademie van Wetenschappen), vol. 90, no 3, pp. 325-351, 1987.

[2] Thomas, P. J. Tents and Interpolation in the Ball. Complex Analysis II (Proceedings of the Special Year at the University of Maryland, College Park), Springer Verlag Lecture Notes nº 1276, 1987.

[1] Thomas, P. J. Interpolating Sequences of Hyperplanes in the Unit Ball of Cⁿ. Annales de l'Institut Fourier (Grenoble), vol. 36, no 3, pp. 167-182, 1986.