Publications

S. Charpentier, N. Levenberg, F. Wielonsky, Weighted holomorphic polynomial approximation, Anal. Math. Phys. 14, no. 4, Paper No. 84. (2024) (Arxiv)

S. Rigat, F. Wielonsky, Boundary value problems and Heisenberg uniqueness pairs, Anal. Math. Phys. 14, no. 3, Paper No. 67, 23 pp. (2024) (Arxiv)

S. Charpentier, N. Levenberg, F. Wielonsky, An extremal problem for the Bergman kernel of orthogonal polynomials, Constr. Approx. (2024) (Arxiv)

P. Dragnev, R. Orive, E.B. Saff and F. Wielonsky, Riesz energy problems with external fields and related theory, Constr. Approx. 57 (2023), 1-43. (Arxiv)

N. Levenberg and F. Wielonsky, Polynomials associated to non-convex bodies, Acta Math. Hungar. 165 (2021), 415-449. (Arxiv)

N. Levenberg and F. Wielonsky, On transfinite diameters in ℂ^d for generalized notions of degree, Math. Scand. 127 (2021), 337-360. (Arxiv)

N. Levenberg and F. Wielonsky, Zeros of Faber polynomials for Joukowski airfoils, Constr. Approx. 52 (2020), 93-114.(Arxiv)

R. Orive, J.F. Sanchez Lara and F. Wielonsky, Equilibrium problems in weakly admissible external fields created by pointwise charges, J. Approx. Theory 244 (2019), 71-100. (Arxiv)

T. Bloom, N. Levenberg and F. Wielonsky, A large deviation principle for weighted Riesz interactions, Constr. Approx., 47 (2018), 119-140, (Arxiv)

T. Bloom, N. Levenberg, V. Totik and F. Wielonsky, Modified logarithmic potential theory and applications, Internat. Math. Research Notices, 2017 (2017), 1116–1154. (Arxiv)

S. Chaabi, S. Rigat and F. Wielonsky, A boundary value problem for conjugate conductivity equations, Stud. Appl. Math., 137 (2016), 328–355. (Arxiv)

T. Bloom, N. Levenberg, F. Piazzon and F. Wielonsky, Bernstein-Markov: a survey, Dolomites Res. Notes Approx. 8 (2015), 75–91. (pdf)

T. Bloom, N. Levenberg and F. Wielonsky, Logarithmic potential theory and large deviation, Comput. Methods Funct. Theory 15 (2015), 555-594. (pdf)

S. Charpentier, V. Nestoridis and F. Wielonsky, Generic properties of Padé approximants and Padé universal series, Math. Z. 281 (2015), 427-455. (Arxiv)

T. Bloom, N. Levenberg and F. Wielonsky, Vector energy and large deviation, J. d'Analyse Math. 125 (2015), 139-174. (Arxiv)

T. Claeys and F. Wielonsky, On sequences of rational interpolants of the exponential function with unbounded interpolation points, J. Approx. Theory 171 (2013), 1-32. (Arxiv)

B. Beckermann, V. Kalyagin, A.C. Matos, F. Wielonsky, Equilibrium problems for vector potentials with semidefinite interaction matrices and constrained masses, Constr. Approx., 37 (2013), 101-134. (Arxiv)

I. Feki, H. Nfata, F. Wielonsky, Optimal logarithmic estimates in the Hardy-Sobolev space of the disk and stability results, J. Math. Anal. Appl., 395 (2012), 366-375. (Arxiv)

A.B.J. Kuijlaars, A. Martinez-Finkelshtein, F. Wielonsky, Non-intersecting squared Bessel paths : critical time and double scaling limit, Comm. Math. Phys., 308 (2011), 227-279. (Arxiv)

B. Beckermann, V. Kalyagin, A.C. Matos, F. Wielonsky, How well does the Hermite-Padé approximation smooth the Gibbs phenomenon ?, Math. Comp., 80 (2011), 931-958. (pdf)

H. Meftahi, F. Wielonsky, Growth estimates in the Hardy-Sobolev space of an annular domain with applications, J. Math. Anal. Appl., 358 (2009), 98-109. (pdf)

A.B.J. Kuijlaars, A. Martinez-Finkelshtein, F. Wielonsky, Non-intersecting squared Bessel paths and multiple orthogonal polynomials for modified Bessel weights, Comm. Math. Phys., 286 (2009), 217-275. (Arxiv)

B. Beckermann, A.C. Matos, F. Wielonsky, Reduction of the Gibbs phenomenon for smooth functions with jumps by the ε-algorithm, J. Comp. and Appl. Math., 219 (2008), 329-349. (pdf)

V. Lysov, F. Wielonsky, Strong asymptotics for multiple Laguerre polynomials, Constr. Approx., 28 (2008), 61-111. (pdf)

A. Kuijlaars, H. Stahl, W. Van Assche, F. Wielonsky, Type II Hermite-Padé approximation to the exponential function, J. Comp. and Appl. Math., 207 (2007), 227-244. (Arxiv)

L. Baratchart, F. Mandrea, E.B. Saff, F. Wielonsky, 2D inverse problems for the Laplacian, a meromorphic approximation approach, J. Math. Pures Appl. 86 (2006), 1-41. (pdf)

B. Macke, B. Segard, F. Wielonsky, Optimal superluminal systems, Phys. Rev. E 72, 035601 (2005). (pdf)

A. Kuijlaars, W. Van Assche, F. Wielonsky, Quadratic Hermite-Padé approximation to the exponential function: a Riemann-Hilbert approach, Constr. Approx. 21 (2005), 351-412. (Arxiv)

F. Wielonsky, Riemann--Hilbert analysis and uniform convergence of rational interpolants to the exponential function, J. Approx. Theory 131 (2004), 100-148. (ps)

B. Beckermann, A. Martinez--Finkelshtein, E.A. Rakhmanov, F. Wielonsky, Asymptotic upper bounds for the entropy of orthogonal polynomials in the Szego class, J. Math. Physics 45 (2004), 4239-4254. (pdf)

A. Kuijlaars, H. Stahl, W. Van Assche, F. Wielonsky, Asymptotique des approximants de Hermite-Padé quadratiques de la fonction exponentielle et problemes de Riemann-Hilbert, C. R. Acad. Sci. Paris , Ser. I 336 (2003), 893-896. (pdf)

J. Leblond, E.B. Saff, F. Wielonsky, Weighted H² rational approximation and consistency, Numer. Math. 90 (2002), 521-553. (pdf)

F. Wielonsky, On rational approximation to the exponential function with complex conjugate interpolation points, J. Approx. Theory 111 (2001), 344-368. (pdf)

F. Wielonsky, A Rolle's theorem for real exponential polynomials in the complex domain, J. Math. Pures Appl. 80 (2001), 389-408. (pdf)

L. Baratchart, H. Stahl, F. Wielonsky, Asymptotic error estimates for L² rational best approximants to Markov functions, J. Approx. Theory 108 (2001), 53-96. (pdf)

L. Baratchart, H. Stahl, F. Wielonsky, Asymptotic uniqueness of best rational approximants of given degree to Markov functions in L² of the circle, Constr. Approx. 17 (2001), 103-138. (ps)

F. Wielonsky, Some properties of Hermite-Padé approximants to e^z, Continued Fractions: From Analytic Number Theory to Constructive Approximation , Contemporary Mathematics 236 (1999), 369-379.

L. Baratchart, H. Stahl, F. Wielonsky, Non-uniqueness of rational best approximants, J. Comp. and Appl. Math. 105 (1999), 141-154. (pdf)

F. Wielonsky, Hermite-Padé approximants to exponential functions and an inequality of Mahler, J. Number Th. 74 (1999), 230-249. (pdf)

F. Wielonsky, Asymptotics of diagonal Hermite-Padé approximants to e^z, J. Approx. Theory 90 (1997), 283-298. (pdf)

L. Baratchart, E.B. Saff, F. Wielonsky, A criterion for uniqueness of a critical point in H₂ rational approximation, J. d'Analyse Math. 70 (1996), 225-266.

L. Baratchart, E.B. Saff, F. Wielonsky, Rational interpolation of the exponential function, Canad. J. of Math. 47 (1995), 1121-1147. (pdf)

L. Baratchart, F. Wielonsky, Rational approximation problem in the real Hardy space H₂ and Stieltjes integrals: a uniqueness theorem, Constr. Approx. 9 (1993), 1-21. (pdf)

L. Baratchart, M. Olivi, F. Wielonsky, On a rational approximation problem in the real Hardy space H₂, Theoretical Computer Science 94 (1992), 175-197.

L. Baratchart, M. Olivi, F. Wielonsky, Asymptotic properties in rational l²-approximation, Proc. of the 9th Conf. on Analysis and Optimization of Systems, Antibes, lect. notes in control and information sciences 144, J.L. Lions and A. Bensoussan Eds, (1990), 477-486.

F. Wielonsky, Séries d'Eisenstein, intégrales toroidales et une formule de Hecke, l'Enseignement Mathématique 31 (1985), 93-135. (pdf)

F. Wielonsky, Intégrales toroidales des séries d'Eisenstein et fonctions Zeta, C.R. Acad. Sci. Paris 299, (1984), 727-730. (pdf)

Autres

F. Wielonsky, Approximation rationnelle dans l'espace de Hardy du disque, interpolation rationnelle de la fonction exponentielle et approximation de Hermite--Padé, Habilitation a diriger des recherches, Université de Lille, 2002.

L. Baratchart, J. Grimm, J. Leblond, M. Olivi, F. Seyfert, F. Wielonsky, Identification d'un filtre hyperfréquences par approximation dans le domaine complexe, Rapport technique Inria Nr. 219, 1998.

F. Wielonsky, Fonctions Zeta des variétés sur les corps finis, Notes du cours de N. Katz, Ecole d'été du CIMPA, Publication Nr. 41 de l'Université de Nice, 1984.

F. Wielonsky, Arithmetic of algebraic number fields, Notes du cours de A. Wiles, Ecole d'été du CIMPA, Publication Nr. 53 de l'Université de Nice, 1984.