@article{BSMF_1990__118_3_273_0, author = {Conze, Jean-Pierre and Raugi, Albert}, title = {Fonctions harmoniques pour un op\'erateur de transition et applications}, journal = {Bulletin de la Soci\'et\'e Math\'ematique de France}, pages = {273--310}, publisher = {Soci\'et\'e math\'ematique de France}, volume = {118}, number = {3}, year = {1990}, doi = {10.24033/bsmf.2148}, mrnumber = {92g:60100}, zbl = {0725.60026}, language = {fr}, url = {https://www.numdam.org/articles/10.24033/bsmf.2148/} }
TY - JOUR AU - Conze, Jean-Pierre AU - Raugi, Albert TI - Fonctions harmoniques pour un opérateur de transition et applications JO - Bulletin de la Société Mathématique de France PY - 1990 SP - 273 EP - 310 VL - 118 IS - 3 PB - Société mathématique de France UR - https://www.numdam.org/articles/10.24033/bsmf.2148/ DO - 10.24033/bsmf.2148 LA - fr ID - BSMF_1990__118_3_273_0 ER -
%0 Journal Article %A Conze, Jean-Pierre %A Raugi, Albert %T Fonctions harmoniques pour un opérateur de transition et applications %J Bulletin de la Société Mathématique de France %D 1990 %P 273-310 %V 118 %N 3 %I Société mathématique de France %U https://www.numdam.org/articles/10.24033/bsmf.2148/ %R 10.24033/bsmf.2148 %G fr %F BSMF_1990__118_3_273_0
Conze, Jean-Pierre; Raugi, Albert. Fonctions harmoniques pour un opérateur de transition et applications. Bulletin de la Société Mathématique de France, Tome 118 (1990) no. 3, pp. 273-310. doi : 10.24033/bsmf.2148. https://www.numdam.org/articles/10.24033/bsmf.2148/
[1] Ondelettes, analyses multirésolutions et filtres miroirs en quadrature, 1989, preprint.
. -[2] Orthonormal basis of compactly supported wavelets, Communication in pure and applied mathematics, t. XLI, n° 7, 1988, p. 909-996. | MR | Zbl
. -[3] Théorie ergodique pour une classe d'opérations non complètement continues, Annals of Math., t. 52, 1950, p. 140-147. | Zbl
and . -[4] Asymptotic behaviour of successive iterates of continuous functions under a Markov operator, J. of Math. Analysis and Applications, t. 9, 1964, p. 203-214. | MR | Zbl
. -[5] Strongly mixing g-measures, Inventiones Math., t. 16, 1972, p. 309-324. | EuDML | MR | Zbl
. -[6] Multiresolution approximations and wavelet orthonormal bases of L2 (R), Trans. Amer. Math Soc., t. 315, n° 1, 1989, p. 69-88. | MR | Zbl
. -[7] Ondelettes et Opérateurs. - Hermann, 1990. | Zbl
. -[8] Bases Mathématiques du Calcul des Probabilités. - Masson, 1964. | MR | Zbl
. -[9] Markov Processes and Learning Models. - Academic Press, 1972. | MR | Zbl
. -[10] Périodes des fonctions harmoniques bornées, Séminaires de Rennes, 1978. | MR
. -[11] Markov Chains. - North Holland Pub. Comp., 1975. | MR | Zbl
. -[12] Ruelle's operator theorem and g-measures, Trans. Amer. Math. Soc., t. 214, 1975, p. 375-387. | MR | Zbl
. -- Сверхгладкие тайловые
-сплайны, Математический сборник, Volume 216 (2025) no. 3, p. 69 | DOI:10.4213/sm10212 - Fast Dimension Spectrum for a Potential with a Logarithmic Singularity, Journal of Statistical Physics, Volume 191 (2024) no. 3 | DOI:10.1007/s10955-024-03252-5
- Stability of iterated dyadic filter banks, Applied and Computational Harmonic Analysis, Volume 64 (2023), p. 229 | DOI:10.1016/j.acha.2023.01.006
- On the dimension of the space of harmonic functions on transitive shift spaces, Advances in Mathematics, Volume 385 (2021), p. 107758 | DOI:10.1016/j.aim.2021.107758
- On a family of singular continuous measures related to the doubling map, Indagationes Mathematicae, Volume 32 (2021) no. 4, p. 847 | DOI:10.1016/j.indag.2021.06.001
- Moments of a Thue–Morse generating function, Journal d'Analyse Mathématique, Volume 135 (2018) no. 2, p. 713 | DOI:10.1007/s11854-018-0050-y
- Invariant sets for QMF functions, Rocky Mountain Journal of Mathematics, Volume 48 (2018) no. 8 | DOI:10.1216/rmj-2018-48-8-2559
- The Ergodic Theorem for a new kind of attractor of a GIFS, Chaos, Solitons Fractals, Volume 98 (2017), p. 63 | DOI:10.1016/j.chaos.2017.03.016
- Spectral measures and Cuntz algebras, Mathematics of Computation, Volume 81 (2012) no. 280, p. 2275 | DOI:10.1090/s0025-5718-2012-02589-0
- Orthonormal dilations of Parseval wavelets, Mathematische Annalen, Volume 341 (2008) no. 3, p. 483 | DOI:10.1007/s00208-007-0196-x
- Fourier frequencies in affine iterated function systems, Journal of Functional Analysis, Volume 247 (2007) no. 1, p. 110 | DOI:10.1016/j.jfa.2007.03.002
- Quasi-compactness and absolutely continuous kernels, Probability Theory and Related Fields, Volume 139 (2007) no. 3-4, p. 451 | DOI:10.1007/s00440-006-0048-8
- On stability and orthogonality of refinable functions, Applied and Computational Harmonic Analysis, Volume 21 (2006) no. 2, p. 254 | DOI:10.1016/j.acha.2006.01.003
- Iterated function systems, Ruelle operators, and invariant projective measures, Mathematics of Computation, Volume 75 (2006) no. 256, p. 1931 | DOI:10.1090/s0025-5718-06-01861-8
- Bounds for smoothness of refinable functions, Linear Algebra and its Applications, Volume 391 (2004), p. 245 | DOI:10.1016/j.laa.2004.03.037
- Convergence of iterates of a transfer operator, application to dynamical systems and to Markov chains, ESAIM: Probability and Statistics, Volume 7 (2003), p. 115 | DOI:10.1051/ps:2003003
- Harmonic analysis of signed Ruelle transfer operators, Journal of Mathematical Analysis and Applications, Volume 273 (2002) no. 2, p. 590 | DOI:10.1016/s0022-247x(02)00284-6
- Criteria for Hierarchical Bases in Sobolev Spaces, Applied and Computational Harmonic Analysis, Volume 8 (2000) no. 1, p. 32 | DOI:10.1006/acha.2000.0275
- Low-Pass Filters, Martingales, and Multiresolution Analyses, Applied and Computational Harmonic Analysis, Volume 9 (2000) no. 2, p. 204 | DOI:10.1006/acha.2000.0320
- Orthogonality criteria for compactly supported refinable functions and refinable function vectors, The Journal of Fourier Analysis and Applications, Volume 6 (2000) no. 2, p. 153 | DOI:10.1007/bf02510658
- Peripheral spectrum of positive quasi-compact operators onC 0(X), Integral Equations and Operator Theory, Volume 32 (1998) no. 2, p. 199 | DOI:10.1007/bf01196518
- Dense analytic subspaces in fractalL 2-spaces, Journal d'Analyse Mathématique, Volume 75 (1998) no. 1, p. 185 | DOI:10.1007/bf02788699
- On the Regularity of Matrix Refinable Functions, SIAM Journal on Mathematical Analysis, Volume 29 (1998) no. 5, p. 1157 | DOI:10.1137/s003614109630817x
- Asymptotic behavior of multiperiodic functions
, The Journal of Fourier Analysis and Applications, Volume 4 (1998) no. 2, p. 129 | DOI:10.1007/bf02475985 - Wavelets Generated by Vector Multiresolution Analysis, Applied and Computational Harmonic Analysis, Volume 4 (1997) no. 3, p. 317 | DOI:10.1006/acha.1997.0216
- Pavages auto-affines, op�rateurs de transfert et crit�res de r�seau dans ? d, Boletim da Sociedade Brasileira de Matem�tica, Volume 28 (1997) no. 1, p. 1 | DOI:10.1007/bf01235987
- Integral self-affine tiles in ℝ n part II: Lattice tilings, The Journal of Fourier Analysis and Applications, Volume 3 (1997) no. 1, p. 83 | DOI:10.1007/bf02647948
- Regularity of refinable function vectors, The Journal of Fourier Analysis and Applications, Volume 3 (1997) no. 3, p. 295 | DOI:10.1007/bf02649113
- Ensembles invariants pour un op�rateur de transfert dans ? d, Boletim da Sociedade Brasileira de Matem�tica, Volume 27 (1996) no. 2, p. 161 | DOI:10.1007/bf01259358
- Sommes des chiffres et nombres presque premiers, Mathematische Annalen, Volume 305 (1996) no. 1, p. 571 | DOI:10.1007/bf01444238
- On Some Sharp Regularity Estimations of
-Scaling Functions, SIAM Journal on Mathematical Analysis, Volume 27 (1996) no. 3, p. 835 | DOI:10.1137/0527045 - A Nonlinear Operator Related to Scaling Functions and Wavelets, SIAM Journal on Mathematical Analysis, Volume 27 (1996) no. 6, p. 1770 | DOI:10.1137/s0036141094257198
- How does truncation of the mask affect a refinable function?, Constructive Approximation, Volume 11 (1995) no. 3, p. 365 | DOI:10.1007/bf01208560
- Construction et Régularité des Fonctions d’Échelle, SIAM Journal on Mathematical Analysis, Volume 26 (1995) no. 5, p. 1361 | DOI:10.1137/s0036141092240023
- The Spectral Theory of Multiresolution Operators and Applications, Wavelets: Theory, Algorithms, and Applications, Volume 5 (1994), p. 13 | DOI:10.1016/b978-0-08-052084-1.50007-7
- Energy Moments in Time and Frequency for Two-Scale Difference Equation Solutions and Wavelets, SIAM Journal on Mathematical Analysis, Volume 23 (1992) no. 6, p. 1519 | DOI:10.1137/0523085
Cité par 36 documents. Sources : Crossref