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Bastin Françoise

Département de mathématique > Analyse - Analyse fonctionnelle - Ondelettes

Mathematics

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Main Referenced Co-authors
Nicolay, Samuel  (10)
Esser, Céline  (7)
Aubry, Jean-Marie  (6)
Laubin, Pascal (5)
Simons, Laurent  (5)
Main Referenced Keywords
wavelets (4); multifractal formalism (3); wavelet leaders (3); Hölder continuity (2); Multifractal analysis (2);
Main Referenced Disciplines
Mathematics (38)
Physics (6)

Publications (total 43)

The most downloaded
415 downloads
Bastin, F., Esser, C., & Jaffard, S. (2016). Large deviation spectra based on wavelet leaders. Revista Matemática Iberoamericana, 32 (3), 859-890. doi:10.4171/rmi/901 https://hdl.handle.net/2268/177473

The most cited

29 citations (OpenAlex)

Bastin, F., Conejero, J. A., Esser, C., & Seoane Sepúlveda, J. B. (2015). Algebrability and nowhere Gevrey differentiability. Israel Journal of Mathematics, 205, 127–143. doi:10.1007/s11856-014-1104-1 https://hdl.handle.net/2268/156598

Bastin, F., & Demeulenaere, L. (2017). On the equality between two diametral dimensions. Functiones et Approximatio, Commentarii Mathematici, 56 (1), 95-107. doi:10.7169/facm/1594
Peer reviewed

Bastin, F., Nicolay, S., & Simons, L. (2016). About the Uniform Hölder Continuity of Generalized Riemann Function. Mediterranean Journal of Mathematics, 13 (1), 101-117. doi:10.1007/s00009-014-0501-3
Peer Reviewed verified by ORBi

Bastin, F., Esser, C., & Jaffard, S. (2016). Large deviation spectra based on wavelet leaders. Revista Matemática Iberoamericana, 32 (3), 859-890. doi:10.4171/rmi/901
Peer Reviewed verified by ORBi

Bastin, F., Esser, C., & Simons, L. (2015). Topology on new sequence spaces defined with wavelet leaders. Journal of Mathematical Analysis and Applications, 431 (1), 317-341. doi:10.1016/j.jmaa.2015.04.074
Peer Reviewed verified by ORBi

Bastin, F., Conejero, J. A., Esser, C., & Seoane Sepúlveda, J. B. (2015). Algebrability and nowhere Gevrey differentiability. Israel Journal of Mathematics, 205, 127–143. doi:10.1007/s11856-014-1104-1
Peer Reviewed verified by ORBi

Simons, L., Bastin, F., & Nicolay, S. (22 September 2014). Fonction de Riemann généralisée [Paper presentation]. Journées du GDR Analyse Multifractale, Nouan-le-Fuzelier, France.

Esser, C., Kleyntssens, T., Bastin, F., & Nicolay, S. (22 May 2014). Detection of non concave and non increasing multifractal spectra using wavelet leaders (Part I) [Paper presentation]. FNRS Contact Group “Wavelets and Applications”.

Esser, C., Kleyntssens, T., Nicolay, S., & Bastin, F. (25 March 2014). A new multifractal formalism based on wavelet leaders : detection of non concave and non increasing spectra (Part I) [Paper presentation]. Fractal Geometry and Stochastics V, Tabarz, Germany.

Simons, L., Bastin, F., & Nicolay, S. (31 May 2013). An adaptation of $S^{\nu}$ spaces [Paper presentation]. Mini-cours, Analyse fonctionnelle et harmonique et théorie des opérateurs, Lens, France.

Bastin, F., & Simons, L. (2013). About non stationary multiresolution analysis and wavelets. Results in Mathematics, 63 (1), 485-500. doi:10.1007/s00025-011-0212-z
Peer Reviewed verified by ORBi

Bastin, F., Nicolay, S., & Esser, C. (08 May 2012). About Generic Properties of "Nowhere Analyticity" [Paper presentation]. Functional Analysis: Applications to Complex Analysis and Partial Differential Equations, Poznan (Bedlewo), Poland.

Bastin, F., Esser, C., & Nicolay, S. (2012). Prevalence of ''nowhere analyticity''. Studia Mathematica, 210 (3). doi:10.4064/sm210-3-4
Peer Reviewed verified by ORBi

Aubry, J.-M., & Bastin, F. (2010). Diametral Dimension of some pseudoconvex multiscale spaces. Studia Mathematica, 197 (1), 27-42. doi:10.4064/sm197-1-3
Peer Reviewed verified by ORBi

Aubry, J.-M., & Bastin, F. (2010). A walk from multifractal analysis to functional analysis with S\nu, and back. In Barral J; Seuret S. (Ed.), Proceedings of ''Fractals and Related Fields'', Monastir, September 2007 (2010). Springer.
Peer reviewed

Aubry, J.-M., & Bastin, F. (2009). Advanced topology on the multiscale sequence spaces S-nu. Journal of Mathematical Analysis and Applications, 350 (2), 439-454. doi:10.1016/j.jmaa.2007.11.052
Peer Reviewed verified by ORBi

Aubry, J.-M., Bastin, F., & Dispa, S. (2007). Prevalenee of multifractal functions in S-nu spaces. Journal of Fourier Analysis and Applications, 13 (2), 175-185. doi:10.1007/s00041-0006-6019-8
Peer reviewed

Aubry, J.-M., Bastin, F., Dispa, S., & Jaffard, S. (2007). The S\nu spaces: new spaces defined with wavelet coefficients and related to multifractal analysis. International Journal of Applied Mathematics and Statistics, 7 (Fe07), 82-95.
Peer Reviewed verified by ORBi

Aubry, J.-M., Bastin, F., Dispa, S., & Jaffard, S. (01 September 2006). Topological properties of the sequence spaces S-nu. Journal of Mathematical Analysis and Applications, 321 (1), 364-387. doi:10.1016/j.jmaa.2005.08.036
Peer Reviewed verified by ORBi

Bastin, F. (2006). A Riesz basis of wavelets and its dual with quintic deficient splines. Note di Matematica, 25 (1), 55-62.
Peer Reviewed verified by ORBi

Bastin, F. (2005). Deficient splines and wavelets. In Revista Ciencas Matematicas (Universidad de la Habana) (pp. 13).

Bastin, F., & Nicolay, S. (2004). A note on moments of scaling functions. Rocky Mountain Journal of Mathematics, 34 (4, Winter), 1197-1206. doi:10.1216/rmjm/1181069795
Peer reviewed

Bastin, F., & Nicolay, S. (2003). A general recurrence relation between the moments of a scaling function. In Group 24 : Physical and Mathematical Aspects of Symmetries (pp. 921-924). Bristol, United Kingdom: Iop Publishing Ltd.

Antoine, J. P., Bastin, F., De Mol, C., & Toussaint, D. (2003). Coherent states, wavelets and applications G24 - LLN. In Group 24 : Physical and Mathematical Aspects of Symmetries (pp. 844). Bristol, United Kingdom: Iop Publishing Ltd.

Bastin, F., & Nicolay, S. (2003). A general recurrence relation between the moments of a scaling function. Institute of Physics Conference Series, 173, 921-924.

Bastin, F., & Laubin, P. (2003). Deficient splines wavelets. In Group 24 : Physical and Mathematical Aspects of Symmetries (pp. 915-919). Bristol, United Kingdom: Iop Publishing Ltd.

Bastin, F., Laubin, P., Kerner, R., Antoine, J. P., Metens, S., & Thibon, J. Y. (2003). Deficient splines wavelets. Institute of Physics Conference Series, 173, 915-919.

Bastin, F., Boigelot, C., & Laubin, P. (2003). Spline wavelets in periodic Sobolev spaces and application to high order collocation methods. Revista de la Union Matematica Argentina, 44 (1), 53-74.
Peer reviewed

Bastin, F., & Laubin, P. (2002). Quintic deficient spline wavelets. Bulletin de la Société Royale des Sciences de Liège, 71 (3), 121-144.
Peer reviewed

Bastin, F. (2000). Constructions and applications of wavelets in Sobolev spaces. Revista Ciencias Matematicas, 18 (2), 145-177.
Peer Reviewed verified by ORBi

Bastin, F., & Boigelot, C. (1998). Biorthogonal wavelets in H-m(R). Journal of Fourier Analysis and Applications, 4 (6), 749-768. doi:10.1007/BF02479678
Peer reviewed

Bastin, F., & Laubin, P. (1998). A walk in the the theory of wavelets from L^2(R) to H^s(R). Rendiconti del circolo Matematico Di Palermo (2) Suppl, 52 (1), 239-252.
Peer reviewed

Bastin, F., & Laubin, P. (1997). Compactly supported wavelets in Sobolev spaces of integer order. Applied and Computational Harmonic Analysis, 4 (1), 51-57. doi:10.1006/acha.1996.0197
Peer Reviewed verified by ORBi

Bastin, F., & Laubin, P. (1997). Regular compactly supported wavelets in Sobolev spaces. Duke Mathematical Journal, 87 (3), 481-508. doi:10.1215/S0012-7094-97-08716-0
Peer Reviewed verified by ORBi

Bastin, F., & Laubin, P. (1996). Singular Spectrum and functional properies of kernels. In Functional Analysis, Trier, 1994 (pp. 21-28). Berlin, Germany: de Gruyter.
Peer reviewed

Bastin, F., & Laubin, P. (1995). A general functional characterization of the microlocal singularities. Journal of Mathematical Sciences, The University of Tokyo, 2 (1), 155-164.
Peer reviewed

Bastin, F., & LAUBIN, P. (1994). ON THE FUNCTIONAL-CHARACTERIZATION OF THE ANALYTIC WAVE-FRONT SET OF AN HYPERFUNCTION. Mathematische Nachrichten, 166, 263-271. doi:10.1002/mana.19941660120
Peer Reviewed verified by ORBi

Bastin, F. (1992). DISTINGUISHEDNESS OF WEIGHTED FRECHET SPACES OF CONTINUOUS-FUNCTIONS. Proceedings of the Edinburgh Mathematical Society, 35 (Part 2), 271-283. doi:10.1017/S0013091500005538
Peer Reviewed verified by ORBi

Bastin, F., & Bonet, J. (1990). LOCALLY BOUNDED NONCONTINUOUS LINEAR-FORMS ON STRONG DUALS OF NONDISTINGUISHED KOTHE ECHELON SPACES. Proceedings of the American Mathematical Society, 108 (3), 769-774. doi:10.1090/S0002-9939-1990-1002152-5
Peer Reviewed verified by ORBi

Bastin, F. (1990). Weighted spaces of continuous functions. Bulletin de la Société Royale des Sciences de Liège, 59 (1), 3-82.
Peer reviewed

Bastin, F., & Schneiders, J.-P. (1990). On Cartan's A and B theorems. Bulletin de la Société Royale des Sciences de Liège, 59 (3-4), 269-288.
Peer reviewed

Bastin, F. (1989). ON BORNOLOGICAL CV-BAR(X) SPACES. Archiv der Mathematik, 53 (4), 394-398. doi:10.1007/BF01195220
Peer Reviewed verified by ORBi

Bastin, F., & Ernst, B. (1988). A criterion for CV(X) to be quasinormable. Results in Mathematics, 14 (3-4), 223-230. doi:10.1007/BF03323227
Peer Reviewed verified by ORBi

Bastin, F., & Schmets, J. (1988). A weighted characterization of the locally compact and \sigma compact spaces. Bulletin de la Société Royale des Sciences de Liège, 57 (1-2), 73-78.
Peer reviewed

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