Zobrazeno 1 - 10
of 23
pro vyhledávání: '"Françoise Bastin"'
Ce livre propose aux étudiants en première année d'études supérieures près de 250 exercices dans les domaines classiques de l'analyse, de l'algèbre, de la géométrie et de la trigonométrie pour un entraînement intensif'aux mathématiques.Ou
Publikováno v:
Revista Matemática Iberoamericana. 32:859-890
We introduce a quantity that encapsulates the information given by the distribution at each scale of the wavelet leaders of a function, and which is independent of the chosen wavelet basis. This leads naturally to the definition of a new multifractal
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::37e420e094ff7adfbdcc58b11d223157
https://doi.org/10.4171/rmi/901
https://doi.org/10.4171/rmi/901
Publikováno v:
Journal of Mathematical Analysis and Applications. 431:317-341
Using wavelet leaders instead of wavelet coefficients, new sequence spaces of type S ν are defined and endowed with a natural topology. Some classical topological properties are then studied; in particular, a generic result about the asymptotic repa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6fdba00dd4d75699844503ddb56d89ca
https://doi.org/10.1016/j.jmaa.2015.04.074
https://doi.org/10.1016/j.jmaa.2015.04.074
Autor:
Loïc Demeulenaere, Françoise Bastin
Publikováno v:
Funct. Approx. Comment. Math. 56, no. 1 (2017), 95-107
The paper gives sufficient conditions to have the equality between two diametral dimensions of metrizable locally convex spaces and examples of Köthe echelon spaces satisfying them. It also provides examples for which the equality does not hold.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::07355f719b7f3f955edcbf482778abbb
https://doi.org/10.7169/facm/1594
https://doi.org/10.7169/facm/1594
Publikováno v:
Mediterranean Journal of Mathematics. 13:101-117
In this paper, we study the uniform Holder continuity of the generalized Riemann function $${R_{\alpha,\beta} \,\,{\rm (with}\,\, \alpha > 1 \,\,{\rm and}\,\, \beta > 0}$$ ) defined by $$R_{\alpha,\beta}(x) = \sum_{n=1}^{+\infty} \frac{\sin(\pi n^\be
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::993f6fc503ef1d3cc0660d784abd8421
https://doi.org/10.1007/s00009-014-0501-3
https://doi.org/10.1007/s00009-014-0501-3
Publikováno v:
Studia Mathematica. 210:239-246
This note brings a complement to the study of genericity of functions which are nowhere analytic mainly in a measure-theoretic sense. We extend this study in Gevrey classes of functions.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::07b302a81693792844d275bd68e5def3
https://doi.org/10.4064/sm210-3-4
https://doi.org/10.4064/sm210-3-4
Autor:
Françoise Bastin, Laurent Simons
Publikováno v:
Results in Mathematics. 63:485-500
The characterization of orthonormal bases of wavelets by means of convergent series involving only the mother wavelet is known, as well as the characterization of wavelets which can be constructed from a stationary multiresolution analysis or a scali
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::61bc15ac220680316ad3e3a395ba70ce
https://doi.org/10.1007/s00025-011-0212-z
https://doi.org/10.1007/s00025-011-0212-z
Publikováno v:
Journal of Fourier Analysis and Applications. 13:175-185
Spaces called Sv were introduced by Jaffard [16] as spaces of functions characterized by the number ≃ 2ν(α)j of their wavelet coefficients having a size ≳ 2−αj at scale j . They are Polish vector spaces for a natural distance. In those space
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::27061e4acc7fe5d69bf5dcff225c530b
https://doi.org/10.1007/s00041-006-6019-8
https://doi.org/10.1007/s00041-006-6019-8
Publikováno v:
RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname
instname
We show that there exist c-generated algebras (and dense in C (a)([0, 1])) every nonzero element of which is a nowhere Gevrey differentiable function. This leads to results of dense algebrability (and, therefore, lineability) of functions enjoying th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4363eef967a62638c81e7bb720721bdb
https://hdl.handle.net/10251/64755
https://hdl.handle.net/10251/64755
Autor:
Françoise Bastin, Christine Boigelot
Publikováno v:
The Journal of Fourier Analysis and Applications. 4:749-768
This article is concerned with constructions of biorthogonal basis of compactly supported wavelets in Sobolev spaces of integer order. Using techniques of [1] and [2], the results presented here generalize to Sobolev spaces some constructions of Cohe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::74cfb57cc62fdd6c9848fbf2e82cf729
https://doi.org/10.1007/bf02479678
https://doi.org/10.1007/bf02479678