ForestPlots.net, Blundo, C., Carilla, J., Grau, R., Malizia, A., Malizia, L., Osinaga-Acosta, O., Bird, M., Bradford, M., Catchpole, D., Ford, A., Graham, A., Hilbert, D., Kemp, J., Laurance, S., Laurance, W., Yoko Ishida, F., Marshall, A., Waite, C., ... Dang Tran, H. (25 May 2021). Taking the pulse of Earth’s tropical forests using networks of highly distributed plots. Biological Conservation, 260. doi:10.1016/j.biocon.2020.108849
Tropical forests are the most diverse and productive ecosystems on Earth. While better understand...
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KURTH, S., WOJTASIK, V., LEKEU, F., QUITTRE, A., OLIVIER, C., GODICHARD, V., Bastin, C., & Salmon, E. (2021). Efficacy of cognitive rehabilitation versus usual treatment at home in patients with early stages of Alzheimer Disease. Journal of Geriatric Psychiatry and Neurology, 34 (3), 209-215. doi:10.1177/0891988720924721
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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
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Godart, M.-F., Lambotte, J.-M., Bianchet, B., Maldague, H., Hendrickx, S., Copée, P., Wilmotte, P.-F., Ruelle, C., Bastin, F., Mercenier, C., Sandu, R., Vazquez Parras, J., Devillet, G., Sérusiaux, E., Teller, J., Ernst, D., Halleux, J.-M., Bottiau, V., Romain, J., ... Verelst, S. (08 December 2016). ETAT DU TERRITOIRE WALLON - PARTIE 2 : DYNAMIQUES SECTORIELLES TERRITORIALISÉES [Paper presentation]. Colloque 2016 de la CODT : Territoire(s) wallon(s) : tendances et perspectives, Mons, Belgium.
Ce support PPT est basé sur les travaux menés sur le volet Analyses sectorielles de l'Etat du ter...
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
We introduce a new multifractal formalism, based on distributions of wavelet leaders, which allow...
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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
In this paper, we study the uniform H\"{o}lder continuity of the generalized Riemann function~$R_...
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Bastin, F., Conejero, J. A., Esser, C., & Seoane Sepúlveda, J. B. (2015). Algebrability and nowhere Gevrey differentiability. Israel Journal of Mathematics, 205, 127–143. doi:10.1007/s11856-014-1104-1
We show that there exist c-generated algebras (and dense in C^infty([0,1])) every nonzero element...
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Bastin, F., Esser, C., & Simons, L. (2015). Topology on new sequence spaces defined with wavelet leaders. Journal of Mathematical Analysis and Applications, 431 (1), 317-341. doi:10.1016/j.jmaa.2015.04.074
Using wavelet leaders instead of wavelet coefficients, new sequence spaces of type Sν are defined...
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Simons, L., Bastin, F., & Nicolay, S. (22 September 2014). Fonction de Riemann généralisée [Paper presentation]. Journées du GDR Analyse Multifractale, Nouan-le-Fuzelier, France.
Dans cet exposé, nous étudions la régularité de la fonction de Riemann généralisée~$R_{\alpha,\be...
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”.
Multifractal analysis is concerned with the study of very irregular signals. For such functions, ...
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.
Multifractal analysis is concerned with the study of very irregular signals. For such functions, ...
Marien, J.-N., Gourlet-Fleury, S., Peltier, R., Daïnou, K., Vermeulen, C., Doucet, J.-L., Gillet, J.-F., Lusenge, T., Van Geit, M., Lejeune, G., Bastin, D., & Plancheron, F. (2014). Les plantations forestières en Afrique centrale : des sylvicultures nouvelles pour répondre aux nouveaux besoins des sociétés. In C. de Wasseige, J. Flynn, D. Louppe, F. Hiol Hiol, ... P. Mayaux (Eds.), Les forêts du Bassin du Congo - Etat des forêts 2013 (pp. 197-212). Neufchâteau, Belgium: Weyrich Editions.
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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.
The $S^\nu$ spaces have been introduced in 2004 by S. Jaffard in the context of multifractal anal...
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
The characterization of orthonormal bases of wavelets by means of convergent series involving on...
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Genon, S., Collette, F., Moulin, C., LEKEU, F., Bahri, M. A., Salmon, E., & Bastin, C. (2013). Verbal learning in Alzheimer’s disease and mild cognitive impairment:fine-grained acquisition and short-delay consolidation performance and neural correlates. Neurobiology of Aging, 34, 361-373. doi:10.1016/j.neurobiolaging.2012.04.004
The aim of this study was to examine correlations between acquisition and short-delay consolidati...
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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.
A infinitely differentiable function f is is analytic at a point x if its Taylor series at this p...
Renaville, F., Bastin, M., Audrit, S., Boueyrie, P. (Other coll.), Chalono, D. (Other coll.), de Bergeyck, V. (Other coll.), Devroey, J.-P. (Other coll.), Henin, M.-P. (Other coll.), Gass, C. (Other coll.), Laurent, J. (Other coll.), Masselus, C. (Other coll.), Nyns, C.-H. (Other coll.), Petit, N. (Other coll.), Poumay, Y. (Other coll.), Vandooren, F. (Other coll.), & Thirion, P. (Ed.). (2012). L'Open Access en Belgique francophone : étude de la BICfB réalisée à la demande des Recteurs des universités et du F.R.S.-FNRS. Bruxelles, Belgium: Bibliothèque Interuniversitaire de la Communauté française de Belgique (BICfB).
Au printemps 2011, les Recteurs des universités de la Fédération Wallonie-Bruxelles et le Fonds d...
Bastin, F., Esser, C., & Nicolay, S. (2012). Prevalence of ''nowhere analyticity''. Studia Mathematica, 210 (3). doi:10.4064/sm210-3-4
This note brings a complement to the study of genericity of functions which are nowhere analytic ...
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Salmon, E., Collette, F., Genon, S., LEKEU, F., Willems, S., & Bastin, C. (2012). Memory impairments in dementia: Which memory and how does it fail? Frontiers in Human Neuroscience. doi:10.3389/conf.fnhum.2012.210.00122
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Salmon, E., Collette, F., Genon, S., LEKEU, F., Willems, S., & Bastin, C. (2012). Memory impairments in dementia: Which memory and how does it fail? [Paper presentation]. Belgian Brain Council.
Bastin, C., Kerrouche, N., LEKEU, F., Adam, S., Guillaume, B., Lemaire, C., Aerts, J., D'Ydewalle, G., Collette, F., & SALMON, E. (2011). Neural correlates of controlled memory processes in questionable Alzheimer’s disease. In J. W. Ashford, A. Rosen, M. Adamson, P. Bayley, O. Sabri, A. Furst, S. E. Black, ... M. Weiner (Eds.), Advances in Alzheimer's Disease. Volume 2: Handbook of imaging the Alzheimer brain. Amsterdam, Netherlands: IOS Press.
Alzheimer’s disease (AD) is characterized by a progressive loss of controlled cognitive processes...
Bastin, C., Kerrouche N, Lekeu, F., Adam, S., Guillaume B, Lemaire, C., Aerts, J., d'Idewalle G, Collette, F., & Salmon, E. (June 2010). Controlled Memory Processes in Questionable Alzheimer's Disease: A View from Neuroimaging Research. Journal of Alzheimer's Disease, 20 (2), 547-560. doi:10.3233/JAD-2010-1393
Alzheimer's disease (AD) is characterized by a progressive loss of controlled cognitive processes...
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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.
With the S\nu spaces introduced by Jaffard in the context of multifractal analysis to extend the...
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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
Stemming from the study of signals via wavelet coefficients, the spaces S\nu are complete metriza...
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Genon, S., Collette, F., Moulin, C., LEKEU, F., Salmon, E., & Bastin, C. (2010). Verbal Learning in Alzheimer’s disease and Mild Cognitive Impairment: neuroanatomic correlates of acquisition and consolidation performances. In Proceedings of the Annual Meeting of the Belgian Association for Psychological Sciences (pp. 123).
The aim of this study was to examine correlations between impaired memory acquisition/consolidati...
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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
We put-sue the Study of the multiscale spaces S-v introduced by Jaffard in the context of multifr...
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Bastin, C., Adam, S., LEKEU, F., Guillaume, B., Lemaire, C., Aerts, J., Collette, F., & Salmon, E. (2009). Combiner les mesures métaboliques cérébrales et neuropsychologiques permet une meilleure prédiction de la conversion vers une maladie d’Alzheimer chez les patients MCI. Revue Neurologique, 165, 80.
Introduction. Une voie de recherche neurologique importante concerne la capacité de prédire sur b...
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Genon, S., Collette, F., Moulin, C., LEKEU, F., Salmon, E., & Bastin, C. (2009). Les corrélats neuronaux de l’acquisition et de la consolidation en mémoire dans la maladie d’Alzheimer et le trouble de mémoire isolé. Revue Neurologique, 165, 69.
Introduction : Un déficit en mémoire épisodique est caractéristique dans la maladie d’Alzheimer (...
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Salmon, E., Lekeu, F., Garraux, G., Bastin, C., & Collette, F. (May 2008). Functional imaging of cognition in Alzheimer's disease using positron emission tomography. Neuropsychologia, 46 (6), 1613-1623. doi:10.1016/j.neuropsychologia.2007.11.022
Positron emission tomography in Alzheimer's disease (AD) demonstrates a metabolic decrease, predo...
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Bastin, C., Kerrouche, N., LEKEU, F., Adam, S., Guillaume, B., Lemaire, C., Aerts, J., d'Ydewalle, G., Collette, F., & Salmon, E. (2008). Metabolic correlates of controlled memory processes in very early Alzheimer’s disease and stable questionable Alzheimer’s disease [Paper presentation]. Recollection workshop, Tours, France.
Bastin, C., Kerrouche, N., Lekeu, F., Adam, S., Guillaume, B., Lemaire, C., Aerts, J., & Salmon, E. (2008). Les corrélats métaboliques des processus contrôlés en mémoire dans la maladie d'Alzheimer très débutante. In A.-M. Ergis, N. Fiori, L. Chaby, C. Belin, L. Fabre, ... D. Gandini (Eds.), Xème colloque international sur le vieillissement cognitif (pp. 93). Paris, France: Publibook.
Les processus contrôlés et automatiques de récupération mnésique ont été évalués au moyen de la P...
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
Spaces called S-v were introduced by Jaffard [16] as spaces of functions characterized by the num...
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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.
In the context of multifractal analysis, more precisely in the context of the study of H\"older r...
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Bastin, C., LEKEU, F., Collette, F., Feyers, D., Lemaire, C., Adam, S., & Salmon, E. (2007). Cerebral metabolic correlates of controlled memory processes in questionable Alzheimer’s disease [Paper presentation]. First Consortium Meeting IAP/IUAP/PAI P6/29.
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
We define sequence spaces based on the distributions of the wavelet coefficients in the spirit of...
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Bastin, C., Van der Linden, M., Lekeu, F., Andrès Bénito, P., & Salmon, E. (2006). Variability in the impairments of recognition memory in patients with frontal lobe lesions. Cortex: A Journal Devoted to the Study of the Nervous System and Behavior, 42 (7), 971-1058. doi:10.1016/S0010-9452(08)70204-1
Fourteen patients with frontal lobe lesions and 14 normal subjects were tested on a recognition m...
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Bastin, F. (2006). A Riesz basis of wavelets and its dual with quintic deficient splines. Note di Matematica, 25 (1), 55-62.
In this note, the dual of the Riesz basis of quintic splines obtained by Bastin and Laubin in [1]...
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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
In this note we give a proof of a reproducing formula for polynomials using natural decay hypothe...
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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., 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.
In this paper, we present a particular family of spline wavelets constructed from the Chui-Wang ...
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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., & 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.
Under natural and weak hypotheses, we prove a reproducing formula for polynomials. Then we obtain...
Bastin, F., & Nicolay, S. (2003). A general recurrence relation between the moments of a scaling function. Institute of Physics Conference Series, 173, 921-924.
Under natural and weak hypotheses, we prove a reproducing formula for polynomials. Then we obtain...
Bastin, F., & Laubin, P. (2002). Quintic deficient spline wavelets. Bulletin de la Société Royale des Sciences de Liège, 71 (3), 121-144.
We show explicitely how to construct scaling functions and wavelets using quintic deficient splin...
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Bastin, C., Van der Linden, M., Pirenne, D., Coyette, F., & Charnallet, A. (2001). Associative recognition and item recognition in amnesia. In Proceedings of the Third International Conference on Memory (pp. 80).
It has been hypothesised that the hippocampal regions are involved specifically in the encoding o...
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Bastin, F. (2000). Constructions and applications of wavelets in Sobolev spaces. Revista Ciencias Matematicas, 18 (2), 145-177.
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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
This article is concerned with constructions of biorthogonal basis of compactly supported wavelet...
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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.
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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
We present a construction of regular compactly supported wavelets in any Sobolev space of integer...
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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
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Bastin, F., & Laubin, P. (1996). Singular Spectrum and functional properies of kernels. In Functional Analysis, Trier, 1994 (pp. 21-28). Berlin, Germany: de Gruyter.
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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.
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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
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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
In this paper, we prove that if U is an increasing sequence of strictly positive and continuous f...
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Bastin, F. (1990). Weighted spaces of continuous functions. Bulletin de la Société Royale des Sciences de Liège, 59 (1), 3-82.
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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
In this note it is proved that if Al (A) is any nondistinguished Kothe echelon space of order one...
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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.
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Bastin, F. (1989). ON BORNOLOGICAL CV-BAR(X) SPACES. Archiv der Mathematik, 53 (4), 394-398. doi:10.1007/BF01195220
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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
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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.
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