Raza, Nusrat; Zainab, Umme Umbral treatment and lacunary generating function for Hermite polynomials. (English) Zbl 1527.05023 Georgian Math. J. 30, No. 6, 941-949 (2023). MSC: 05A40 33C45 42A55 PDFBibTeX XMLCite \textit{N. Raza} and \textit{U. Zainab}, Georgian Math. J. 30, No. 6, 941--949 (2023; Zbl 1527.05023) Full Text: DOI
Luk, Jonathan; Van de Moortel, Maxime Nonlinear interaction of three impulsive gravitational waves. II: The wave estimates. (English) Zbl 1522.35502 Ann. PDE 9, No. 1, Paper No. 10, 137 p. (2023). MSC: 35Q76 83C05 83C10 35B65 42B25 26A33 35R11 PDFBibTeX XMLCite \textit{J. Luk} and \textit{M. Van de Moortel}, Ann. PDE 9, No. 1, Paper No. 10, 137 p. (2023; Zbl 1522.35502) Full Text: DOI arXiv
Kesseböhmer, Marc; Niemann, Aljoscha; Zhu, Sanguo Quantization dimensions of compactly supported probability measures via Rényi dimensions. (English) Zbl 07709416 Trans. Am. Math. Soc. 376, No. 7, 4661-4678 (2023). MSC: 28A80 42B35 45D05 PDFBibTeX XMLCite \textit{M. Kesseböhmer} et al., Trans. Am. Math. Soc. 376, No. 7, 4661--4678 (2023; Zbl 07709416) Full Text: DOI arXiv
Barral, Julien; Seuret, Stéphane The Frisch-Parisi conjecture. II: Besov spaces in multifractal environment, and a full solution. (English. French summary) Zbl 1521.28004 J. Math. Pures Appl. (9) 175, 281-329 (2023). Reviewer: Almaz Butaev (Montréal) MSC: 28A78 28A80 30H25 42C40 46A04 PDFBibTeX XMLCite \textit{J. Barral} and \textit{S. Seuret}, J. Math. Pures Appl. (9) 175, 281--329 (2023; Zbl 1521.28004) Full Text: DOI
Barral, Julien; Seuret, Stéphane The Frisch-Parisi conjecture. I: Prescribed multifractal behavior, and a partial solution. (English. French summary) Zbl 07693670 J. Math. Pures Appl. (9) 175, 76-108 (2023). Reviewer: Yuang-Ling Ye (Guangzhou) MSC: 28A78 28A80 30H40 42C40 46A04 PDFBibTeX XMLCite \textit{J. Barral} and \textit{S. Seuret}, J. Math. Pures Appl. (9) 175, 76--108 (2023; Zbl 07693670) Full Text: DOI
Battle, Guy A wavelet-based set of constructive masses for the Minkowskian Feynman propagator. (English) Zbl 1507.81145 J. Math. Phys. 63, No. 4, Article ID 042303, 20 p. (2022). MSC: 81T16 42C40 81T18 81T05 70S05 PDFBibTeX XMLCite \textit{G. Battle}, J. Math. Phys. 63, No. 4, Article ID 042303, 20 p. (2022; Zbl 1507.81145) Full Text: DOI
Eceizabarrena, Daniel; Da Rocha, Victor An analytical study of flatness and intermittency through Riemann’s nondifferentiable functions. (English) Zbl 1494.76053 SIAM J. Math. Anal. 54, No. 3, 3575-3608 (2022). MSC: 76F99 35Q35 42A16 28A80 PDFBibTeX XMLCite \textit{D. Eceizabarrena} and \textit{V. Da Rocha}, SIAM J. Math. Anal. 54, No. 3, 3575--3608 (2022; Zbl 1494.76053) Full Text: DOI arXiv
Ben Abid, Moez; Ben Slimane, Mourad; Ben Omrane, Ines; Turkawi, Maamoun Multivariate wavelet leaders Rényi dimension and multifractal formalism in mixed Besov spaces. (English) Zbl 1493.42051 Int. J. Wavelets Multiresolut. Inf. Process. 20, No. 2, Article ID 2150047, 32 p. (2022). Reviewer: K. Parthasarathy (Chennai) MSC: 42C40 26A16 26A21 26B35 46E30 PDFBibTeX XMLCite \textit{M. Ben Abid} et al., Int. J. Wavelets Multiresolut. Inf. Process. 20, No. 2, Article ID 2150047, 32 p. (2022; Zbl 1493.42051) Full Text: DOI
Heredia, Carlos; Kolář, Ivan; Llosa, Josep; Maldonado Torralba, Francisco José; Mazumdar, Anupam Infinite-derivative linearized gravity in convolutional form. (English) Zbl 1489.83009 Classical Quantum Gravity 39, No. 8, Article ID 085001, 26 p. (2022). MSC: 83C40 46G05 42A38 44A35 35P20 70S05 34B10 PDFBibTeX XMLCite \textit{C. Heredia} et al., Classical Quantum Gravity 39, No. 8, Article ID 085001, 26 p. (2022; Zbl 1489.83009) Full Text: DOI arXiv
Kesseböhmer, Marc; Niemann, Aljoscha Spectral dimensions of Kreĭn-Feller operators and \(L^q\)-spectra. (English) Zbl 07496418 Adv. Math. 399, Article ID 108253, 53 p. (2022). Reviewer: Sergey G. Pyatkov (Khanty-Mansiysk) MSC: 47F05 35P20 35J05 28A80 42B35 45D05 PDFBibTeX XMLCite \textit{M. Kesseböhmer} and \textit{A. Niemann}, Adv. Math. 399, Article ID 108253, 53 p. (2022; Zbl 07496418) Full Text: DOI arXiv
Iglewska-Nowak, I. Spin weighted wavelets on the sphere – frames. (English) Zbl 1483.42024 J. Comput. Appl. Math. 407, Article ID 114078, 11 p. (2022). MSC: 42C40 83C60 PDFBibTeX XMLCite \textit{I. Iglewska-Nowak}, J. Comput. Appl. Math. 407, Article ID 114078, 11 p. (2022; Zbl 1483.42024) Full Text: DOI
Kang, Zhong-Bo; Prokudin, Alexei; Sato, Nobuo; Terry, John Efficient Fourier transforms for transverse momentum dependent distributions. (English) Zbl 1523.81165 Comput. Phys. Commun. 258, Article ID 107611, 9 p. (2021). MSC: 81U35 05C70 70F05 81V35 42B10 65C20 47B35 35A22 PDFBibTeX XMLCite \textit{Z.-B. Kang} et al., Comput. Phys. Commun. 258, Article ID 107611, 9 p. (2021; Zbl 1523.81165) Full Text: DOI arXiv
Meringolo, C.; Servidio, S. Aliasing instabilities in the numerical evolution of the Einstein field equations. (English) Zbl 1483.83057 Gen. Relativ. Gravitation 53, No. 10, Paper No. 95, 21 p. (2021). MSC: 83C57 83C05 70K50 83B05 42A16 PDFBibTeX XMLCite \textit{C. Meringolo} and \textit{S. Servidio}, Gen. Relativ. Gravitation 53, No. 10, Paper No. 95, 21 p. (2021; Zbl 1483.83057) Full Text: DOI arXiv
Chesler, Paul M.; Blackburn, Lindy; Doeleman, Sheperd S.; Johnson, Michael D.; Moran, James M.; Narayan, Ramesh; Wielgus, Maciek Light echos and coherent autocorrelations in a black hole spacetime. (English) Zbl 1481.83061 Classical Quantum Gravity 38, No. 12, Article ID 125006, 13 p. (2021). MSC: 83C57 83F05 83C05 85A15 62H20 42A38 62M10 PDFBibTeX XMLCite \textit{P. M. Chesler} et al., Classical Quantum Gravity 38, No. 12, Article ID 125006, 13 p. (2021; Zbl 1481.83061) Full Text: DOI arXiv
Aviles, Alejandro; Koyama, Kazuya; Cervantes-Cota, Jorge L.; Winther, Hans A.; Li, Baojiu Marked correlation functions in perturbation theory. (English) Zbl 1489.85002 J. Cosmol. Astropart. Phys. 2020, No. 1, Paper No. 6, 35 p. (2020). MSC: 85A05 85A15 62H30 83D05 35B20 62H20 42A85 70S05 45E10 83C56 PDFBibTeX XMLCite \textit{A. Aviles} et al., J. Cosmol. Astropart. Phys. 2020, No. 1, Paper No. 6, 35 p. (2020; Zbl 1489.85002) Full Text: DOI arXiv Link
Jaffard, Stéphane; Seuret, Stéphane; Wendt, Herwig; Leonarduzzi, Roberto; Abry, Patrice Multifractal formalisms for multivariate analysis. (English) Zbl 1472.62073 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 475, No. 2229, Article ID 20190150, 24 p. (2019). MSC: 62H05 28A80 42C40 PDFBibTeX XMLCite \textit{S. Jaffard} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 475, No. 2229, Article ID 20190150, 24 p. (2019; Zbl 1472.62073) Full Text: DOI HAL
Abid, Moez Ben \(T^{[p]}\)-formalism in Besov spaces. (English) Zbl 1465.42040 Result. Math. 74, No. 4, Paper No. 187, 31 p. (2019). Reviewer: Ghanshyam Bhatt (Nashville) MSC: 42C40 28A80 26A16 28A78 37C20 PDFBibTeX XMLCite \textit{M. B. Abid}, Result. Math. 74, No. 4, Paper No. 187, 31 p. (2019; Zbl 1465.42040) Full Text: DOI
Ben Slimane, Mourad; Ben Abid, Moez; Ben Omrane, Ines; Halouani, Borhen On wavelet and leader wavelet based large deviation multifractal formalisms for non-uniform Hölder functions. (English) Zbl 1414.42041 J. Fourier Anal. Appl. 25, No. 2, 506-522 (2019). Reviewer: George Stoica (Saint John) MSC: 42C40 26A15 26A16 26B35 26B05 46E35 46E99 PDFBibTeX XMLCite \textit{M. Ben Slimane} et al., J. Fourier Anal. Appl. 25, No. 2, 506--522 (2019; Zbl 1414.42041) Full Text: DOI
Smania, Daniel Transfer operators, atomic decomposition and the Bestiary. arXiv:1903.06976 Preprint, arXiv:1903.06976 [math.DS] (2019). MSC: 37C30 37D20 37C40 30H25 37D35 37A05 37A25 37A30 37A50 37E05 47A35 47B65 60F05 60F17 42B35 42B35 42C15 BibTeX Cite \textit{D. Smania}, ``Transfer operators, atomic decomposition and the Bestiary'', Preprint, arXiv:1903.06976 [math.DS] (2019) Full Text: arXiv OA License
Arbieto, Alexander; Smania, Daniel Transfer operators and atomic decomposition. arXiv:1903.06943 Preprint, arXiv:1903.06943 [math.DS] (2019). MSC: 37C30 37D20 37C40 30H25 37D35 37A05 37A25 37A30 37A50 37E05 47A35 47B65 60F05 60F17 42B35 42B35 42C15 BibTeX Cite \textit{A. Arbieto} and \textit{D. Smania}, ``Transfer operators and atomic decomposition'', Preprint, arXiv:1903.06943 [math.DS] (2019) Full Text: arXiv OA License
Iglewska-Nowak, Ilona Spin weighted wavelets on the sphere. arXiv:1804.04947 Preprint, arXiv:1804.04947 [math.FA] (2018). MSC: 42C40 83C60 BibTeX Cite \textit{I. Iglewska-Nowak}, ``Spin weighted wavelets on the sphere'', Preprint, arXiv:1804.04947 [math.FA] (2018) Full Text: arXiv OA License
Lindblom, Lee; Taylor, Nicholas W.; Zhang, Fan Scalar, vector and tensor harmonics on the three-sphere. (English) Zbl 1377.83006 Gen. Relativ. Gravitation 49, No. 11, Paper No. 139, 14 p. (2017). MSC: 83C05 42A10 PDFBibTeX XMLCite \textit{L. Lindblom} et al., Gen. Relativ. Gravitation 49, No. 11, Paper No. 139, 14 p. (2017; Zbl 1377.83006) Full Text: DOI arXiv
Esser, Céline; Kleyntssens, Thomas; Nicolay, Samuel A multifractal formalism for non-concave and non-increasing spectra: the leaders profile method. (English) Zbl 1373.42044 Appl. Comput. Harmon. Anal. 43, No. 2, 269-291 (2017). Reviewer: Françoise Bastin (Liège) MSC: 42C40 46E35 90C48 26A16 PDFBibTeX XMLCite \textit{C. Esser} et al., Appl. Comput. Harmon. Anal. 43, No. 2, 269--291 (2017; Zbl 1373.42044) Full Text: DOI Link
Shah, Abhay G.; Whiting, Bernard F. Raising and lowering operators of spin-weighted spheroidal harmonics. (English) Zbl 1386.83094 Gen. Relativ. Gravitation 48, No. 6, Paper No. 78, 19 p. (2016). MSC: 83C60 81R05 42B37 53Z05 PDFBibTeX XMLCite \textit{A. G. Shah} and \textit{B. F. Whiting}, Gen. Relativ. Gravitation 48, No. 6, Paper No. 78, 19 p. (2016; Zbl 1386.83094) Full Text: DOI arXiv
Ben Slimane, Mourad; Halouani, Borhen Multifractal formalism of oscillating singularities for random wavelet series. (English) Zbl 1337.28009 Fractals 23, No. 2, Article ID 1550005, 10 p. (2015). MSC: 28A80 42C40 PDFBibTeX XMLCite \textit{M. Ben Slimane} and \textit{B. Halouani}, Fractals 23, No. 2, Article ID 1550005, 10 p. (2015; Zbl 1337.28009) Full Text: DOI
Aouidi, Jamil; Ben Mabrouk, Anouar A wavelet multifractal formalism for simultaneous singularities of functions. (English) Zbl 1282.42033 Int. J. Wavelets Multiresolut. Inf. Process. 12, No. 1, Article ID 1450009, 14 p. (2014). MSC: 42C40 28A80 76M55 PDFBibTeX XMLCite \textit{J. Aouidi} and \textit{A. Ben Mabrouk}, Int. J. Wavelets Multiresolut. Inf. Process. 12, No. 1, Article ID 1450009, 14 p. (2014; Zbl 1282.42033) Full Text: DOI
Echelard, Antoine; Lévy Véhel, Jacques; Tricot, Claude A unified framework for the study of the 2-microlocal and large deviation multifractal spectra. (English) Zbl 1296.28011 Chaumont, Loïc (ed.) et al., Self-similar processes and their applications. Selected papers related to the conference, Angers, France, July 20–24, 2009. Paris: Société Mathématique de France (ISBN 978-2-85629-365-2). Séminaires et Congrès 28, 13-42 (2013). MSC: 28A80 42C40 26A16 PDFBibTeX XMLCite \textit{A. Echelard} et al., Sémin. Congr. 28, 13--42 (2013; Zbl 1296.28011)
Fan, Ai-Hua; Liao, Lingmin; Ma, Ji-Hua Level sets of multiple ergodic averages. (English) Zbl 1263.37041 Monatsh. Math. 168, No. 1, 17-26 (2012). Reviewer: Alejandro Mesón (La Plata) MSC: 37C45 42A55 37A25 37D35 PDFBibTeX XMLCite \textit{A.-H. Fan} et al., Monatsh. Math. 168, No. 1, 17--26 (2012; Zbl 1263.37041) Full Text: DOI arXiv
Pavlova, O. N.; Pavlov, A. N. Multifractal description of nephrons dynamics. (Russian) Zbl 1249.65303 Izv. Vyssh. Uchebn. Zaved., Prikl. Nelinejn. Din. 19, No. 2, 3-14 (2011). MSC: 65T60 42C40 92B25 PDFBibTeX XMLCite \textit{O. N. Pavlova} and \textit{A. N. Pavlov}, Izv. Vyssh. Uchebn. Zaved., Prikl. Nelineĭn. Din. 19, No. 2, 3--14 (2011; Zbl 1249.65303)
Aouidi, Jamil; Ben Mabrouk, Anouar Multifractal analysis of some weighted quasi-self-similar functions. (English) Zbl 1244.28006 Int. J. Wavelets Multiresolut. Inf. Process. 9, No. 6, 965-987 (2011). MSC: 28A80 42C40 76M55 PDFBibTeX XMLCite \textit{J. Aouidi} and \textit{A. Ben Mabrouk}, Int. J. Wavelets Multiresolut. Inf. Process. 9, No. 6, 965--987 (2011; Zbl 1244.28006) Full Text: DOI
Clausel, Marianne; Nicolay, Samuel Wavelets techniques for pointwise anti-Hölderian irregularity. (English) Zbl 1214.26004 Constr. Approx. 33, No. 1, 41-75 (2011). Reviewer: Gustaf Gripenberg (Hut) MSC: 26A16 42C40 PDFBibTeX XMLCite \textit{M. Clausel} and \textit{S. Nicolay}, Constr. Approx. 33, No. 1, 41--75 (2011; Zbl 1214.26004) Full Text: DOI arXiv
Piazza, Francesco Dalla; Girola, Davide; Cacciatori, Sergio L. Classical theta constants vs. lattice theta series, and super string partition functions. (English) Zbl 1294.81229 J. High Energy Phys. 2010, No. 11, Paper No. 082, 24 p. (2010). MSC: 81T30 81T60 83E30 83C05 42A16 PDFBibTeX XMLCite \textit{F. D. Piazza} et al., J. High Energy Phys. 2010, No. 11, Paper No. 082, 24 p. (2010; Zbl 1294.81229) Full Text: DOI arXiv
Figliola, Alejandra; Serrano, Eduardo; Paccosi, Gustavo; Rosenblatt, Mariel About the effectiveness of different methods for the estimation of the multifractal spectrum of natural series. (English) Zbl 1188.28007 Int. J. Bifurcation Chaos Appl. Sci. Eng. 20, No. 2, 331-339 (2010). MSC: 28A80 28A78 42C40 PDFBibTeX XMLCite \textit{A. Figliola} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 20, No. 2, 331--339 (2010; Zbl 1188.28007) Full Text: DOI
Ben Slimane, Mourad Baire generic histograms of wavelet coefficients and large deviation formalism in Besov and Sobolev spaces. (English) Zbl 1165.42008 J. Math. Anal. Appl. 349, No. 2, 403-412 (2009). Reviewer: Stefan Balint (Timişoara) MSC: 42C40 46E35 60B11 60F10 PDFBibTeX XMLCite \textit{M. Ben Slimane}, J. Math. Anal. Appl. 349, No. 2, 403--412 (2009; Zbl 1165.42008) Full Text: DOI
Ben Mabrouk, Anouar On some nonlinear nonisotropic quasi-self-similar functions. (English) Zbl 1179.28011 Nonlinear Dyn. 51, No. 3, 379-398 (2008). MSC: 28A80 42C40 PDFBibTeX XMLCite \textit{A. Ben Mabrouk}, Nonlinear Dyn. 51, No. 3, 379--398 (2008; Zbl 1179.28011) Full Text: DOI
Turiel, Antonio; Yahia, Hussein; Pérez-Vicente, Conrad J. Microcanonical multifractal formalism – a geometrical approach to multifractal systems. I: Singularity analysis. (English) Zbl 1181.94058 J. Phys. A, Math. Theor. 41, No. 1, Article ID 015501, 35 p. (2008). Reviewer: Farruh Mukhamedov (Kuantan) MSC: 94A12 28A80 82B99 42C15 PDFBibTeX XMLCite \textit{A. Turiel} et al., J. Phys. A, Math. Theor. 41, No. 1, Article ID 015501, 35 p. (2008; Zbl 1181.94058) Full Text: DOI
Ben Mabrouk, Anouar Study of some nonlinear self-similar distributions. (English) Zbl 1197.42020 Int. J. Wavelets Multiresolut. Inf. Process. 5, No. 6, 907-916 (2007). MSC: 42C40 28A80 76M55 PDFBibTeX XMLCite \textit{A. Ben Mabrouk}, Int. J. Wavelets Multiresolut. Inf. Process. 5, No. 6, 907--916 (2007; Zbl 1197.42020) Full Text: DOI
Hilger, Stefan The discrete and periodic heat and harmonic oscillator equation. (English) Zbl 1132.39013 J. Difference Equ. Appl. 13, No. 8-9, 741-793 (2007). Reviewer: Zhibo Huang (Guangzhou) MSC: 39A12 34L40 35K05 42A16 33C45 PDFBibTeX XMLCite \textit{S. Hilger}, J. Difference Equ. Appl. 13, No. 8--9, 741--793 (2007; Zbl 1132.39013) Full Text: DOI
Wiaux, Y.; McEwen, J. D.; Vielva, P. Complex data processing: Fast wavelet analysis on the sphere. (English) Zbl 1124.65125 J. Fourier Anal. Appl. 13, No. 4, 477-493 (2007). MSC: 65T60 42C40 83F05 85A40 PDFBibTeX XMLCite \textit{Y. Wiaux} et al., J. Fourier Anal. Appl. 13, No. 4, 477--493 (2007; Zbl 1124.65125) Full Text: DOI arXiv
Aubry, Jean-Marie; Bastin, Françoise; Dispa, Sophie Prevalence of multifractal functions in \(S^v\) spaces. (English) Zbl 1126.28004 J. Fourier Anal. Appl. 13, No. 2, 175-185 (2007). Reviewer: Dorothee Haroske (Jena) MSC: 28A80 42C40 46A19 PDFBibTeX XMLCite \textit{J.-M. Aubry} et al., J. Fourier Anal. Appl. 13, No. 2, 175--185 (2007; Zbl 1126.28004) Full Text: DOI
Jaffard, Stéphane; Lashermes, Bruno; Abry, Patrice Wavelet leaders in multifractal analysis. (English) Zbl 1114.65164 Tao, Qian (ed.) et al., Wavelet analysis and applications. Selected papers based on the presentations at the conference (WAA 2005), Macau, China, 29th November – 2nd December 2005. With CD-ROM. Basel: Birkhäuser (ISBN 3-7643-7777-1/hbk). Applied and Numerical Harmonic Analysis, 201-246 (2007). MSC: 65T60 42C40 PDFBibTeX XMLCite \textit{S. Jaffard} et al., in: Wavelet analysis and applications. Selected papers based on the presentations at the conference (WAA 2005), Macau, China, 29th November -- 2nd December 2005. With CD-ROM. Basel: Birkhäuser. 201--246 (2007; Zbl 1114.65164)
Ben Mabrouk, Anouar Multifractal analysis of some non isotropic quasi-self-similar functions. (English) Zbl 1105.42026 Far East J. Dyn. Syst. 7, No. 1, 23-63 (2005). MSC: 42C40 28A80 76M55 62B10 PDFBibTeX XMLCite \textit{A. Ben Mabrouk}, Far East J. Dyn. Syst. 7, No. 1, 23--63 (2005; Zbl 1105.42026)
Feng, De-Jun; Lau, Ka-Sing; Wang, Xiang-Yang Some exceptional phenomena in multifractal formalism. II. (English) Zbl 1134.28008 Asian J. Math. 9, No. 4, 473-488 (2005). Reviewer: Yimin Xiao (East Lansing) MSC: 28A80 42B10 PDFBibTeX XMLCite \textit{D.-J. Feng} et al., Asian J. Math. 9, No. 4, 473--488 (2005; Zbl 1134.28008) Full Text: DOI
Jaffard, Stéphane Beyond Besov spaces. I: Distributions of wavelet coefficients. (English) Zbl 1075.42014 J. Fourier Anal. Appl. 10, No. 3, 221-246 (2004). Reviewer: Joan Cerdà (Barcelona) MSC: 42C40 28A80 46E35 26A30 PDFBibTeX XMLCite \textit{S. Jaffard}, J. Fourier Anal. Appl. 10, No. 3, 221--246 (2004; Zbl 1075.42014) Full Text: DOI
Aouidi, Jamil; Ben Slimane, Mourad Multi-fractal formalism for non-self-similar functions. (English) Zbl 1050.28005 Integral Transforms Spec. Funct. 15, No. 3, 189-207 (2004). MSC: 28A80 37D35 42C40 46E35 PDFBibTeX XMLCite \textit{J. Aouidi} and \textit{M. Ben Slimane}, Integral Transforms Spec. Funct. 15, No. 3, 189--207 (2004; Zbl 1050.28005) Full Text: DOI
Slimane, Mourad Ben Multifractal formalism for selfsimilar functions associated to the \(n\)-scale dilation family. (English) Zbl 1048.28006 Math. Proc. Camb. Philos. Soc. 136, No. 1, 195-212 (2004). Reviewer: Yimin Xiao (East Lansing) MSC: 28A80 42C40 37C45 PDFBibTeX XMLCite \textit{M. B. Slimane}, Math. Proc. Camb. Philos. Soc. 136, No. 1, 195--212 (2004; Zbl 1048.28006) Full Text: DOI
Watanabe, Shuji An integral transform and its applications. (English) Zbl 1049.44006 Integral Transforms Spec. Funct. 14, No. 6, 537-549 (2003). Reviewer: Osman Yürekli (Ithaca) MSC: 44A15 42A38 47B25 35K15 35L15 81Q10 35A22 PDFBibTeX XMLCite \textit{S. Watanabe}, Integral Transforms Spec. Funct. 14, No. 6, 537--549 (2003; Zbl 1049.44006) Full Text: DOI
Triebel, Hans Fractal characteristics of measures: An approach via function spaces. (English) Zbl 1034.46034 J. Fourier Anal. Appl. 9, No. 4, 411-430 (2003). MSC: 46E35 42B35 28A80 PDFBibTeX XMLCite \textit{H. Triebel}, J. Fourier Anal. Appl. 9, No. 4, 411--430 (2003; Zbl 1034.46034) Full Text: DOI
Daoudi, Khalid; Lévy-Véhel, Jacques Signal representation and segmentation based on multifractal stationarity. (English) Zbl 1012.94510 Signal Process. 82, No. 12, 2015-2024 (2002). MSC: 94A12 42C40 PDFBibTeX XMLCite \textit{K. Daoudi} and \textit{J. Lévy-Véhel}, Signal Process. 82, No. 12, 2015--2024 (2002; Zbl 1012.94510) Full Text: DOI
Kestener, Pierre; Lina, Jean Marc; Saint-Jean, Philippe; Arneodo, Alain Wavelet-based multifracta formalism to assist in diagnosis in digitized mammograms. (English) Zbl 0997.92027 Image Anal. Stereol. 20, No. 3, 169-174 (2001). MSC: 92C55 42C40 65T60 PDFBibTeX XMLCite \textit{P. Kestener} et al., Image Anal. Stereol. 20, No. 3, 169--174 (2001; Zbl 0997.92027) Full Text: DOI
Ben Slimane, Mourad Multifractal formalism for selfsimilar functions expanded in singular basis. (English) Zbl 0997.28006 Appl. Comput. Harmon. Anal. 11, No. 3, 387-419 (2001). Reviewer: Yimin Xiao (Berkeley) MSC: 28A80 42C40 PDFBibTeX XMLCite \textit{M. Ben Slimane}, Appl. Comput. Harmon. Anal. 11, No. 3, 387--419 (2001; Zbl 0997.28006) Full Text: DOI
Arneodo, A.; Audit, B.; Bacry, E.; Manneville, S.; Muzy, J. F.; Roux, S. G. Thermodynamics of fractal signals based on wavelet analysis: Application to fully developed turbulence data and DNA sequences. (English) Zbl 1006.82505 Priezzhev, V. B. (ed.) et al., Self-similar systems. Proceedings of the international workshop, Dubna, Russia, July 30-August 7, 1998. Dubna: Joint Institute for Nuclear Research. 35-56 (1999). MSC: 82B35 74A15 28A80 92D20 76F99 42C40 PDFBibTeX XMLCite \textit{A. Arneodo} et al., in: Self-similar systems. Proceedings of the international workshop, Dubna, Russia, July 30--August 7, 1998. Dubna: Joint Institute for Nuclear Research. 35--56 (1999; Zbl 1006.82505)
Arneodo, A.; Bacry, E.; Jaffard, S.; Muzy, J. F. Oscillating singularities and fractal functions. (English) Zbl 1003.28007 Dubuc, Serge (ed.) et al., Spline functions and the theory of wavelets. Providence, RI: AMS, American Mathematical Society. CRM Proc. Lect. Notes. 18, 315-329 (1999). Reviewer: Yimin Xiao (Berkeley) MSC: 28A80 26A30 42C40 PDFBibTeX XMLCite \textit{A. Arneodo} et al., in: Spline functions and the theory of wavelets. Providence, RI: AMS, American Mathematical Society. 315--329 (1999; Zbl 1003.28007)
Ben Slimane, M. Multifractal formalism for self-similar functions under the action of nonlinear dynamical systems. (English) Zbl 0928.28002 Constructive Approximation 15, No. 2, 209-240 (1999). Reviewer: Yimin Xiao (Salt Lake City) MSC: 28A80 26A30 26A18 28A78 42C40 54H20 37B30 PDFBibTeX XMLCite \textit{M. Ben Slimane}, Constr. Approx. 15, No. 2, 209--240 (1999; Zbl 0928.28002) Full Text: DOI
Arneodo, A.; Bacry, E.; Muzy, J. F. Random cascades on wavelet dyadic trees. (English) Zbl 0931.28008 J. Math. Phys. 39, No. 8, 4142-4164 (1998). MSC: 28A80 42C40 PDFBibTeX XMLCite \textit{A. Arneodo} et al., J. Math. Phys. 39, No. 8, 4142--4164 (1998; Zbl 0931.28008) Full Text: DOI HAL
Kuttler, Kenneth Modern analysis. (English) Zbl 0893.46001 Studies in Advanced Mathematics. Boca Raton, MA: CRC Press. 572 p. (1998). Reviewer: S.V.Rogozin (Minsk) MSC: 46-01 28-01 42-01 60-01 00A05 PDFBibTeX XMLCite \textit{K. Kuttler}, Modern analysis. Boca Raton, MA: CRC Press (1998; Zbl 0893.46001)
Arneodo, A.; Bacry, E.; Jaffard, S.; Muzy, J. F. Oscillating singularities on Cantor sets: A grand-canonical multifractal formalism. (English) Zbl 0917.28007 J. Stat. Phys. 87, No. 1-2, 179-209 (1997). MSC: 28A80 42C15 PDFBibTeX XMLCite \textit{A. Arneodo} et al., J. Stat. Phys. 87, No. 1--2, 179--209 (1997; Zbl 0917.28007) Full Text: DOI
Jaffard, S. Multifractal formalism for functions. II: Self-similar functions. (English) Zbl 0876.42022 SIAM J. Math. Anal. 28, No. 4, 971-998 (1997). MSC: 42C15 28A80 26A16 76F99 PDFBibTeX XMLCite \textit{S. Jaffard}, SIAM J. Math. Anal. 28, No. 4, 971--998 (1997; Zbl 0876.42022) Full Text: DOI
Jaffard, S. Multifractal formalism for functions. I: Results valid for all functions. (English) Zbl 0876.42021 SIAM J. Math. Anal. 28, No. 4, 944-970 (1997). MSC: 42C15 28A80 26A16 76F99 PDFBibTeX XMLCite \textit{S. Jaffard}, SIAM J. Math. Anal. 28, No. 4, 944--970 (1997; Zbl 0876.42021) Full Text: DOI
Arneodo, A. Wavelet analysis of fractals: From the mathematical concepts to experimental reality. (English) Zbl 0889.28007 Erlebacher, Gordon (ed.) et al., Wavelets: theory and applications. Formal notes of the short course on wavelets, Hampton, VA, USA, February 22–26, 1993. New York, NY: Oxford University Press. ICASE/LaRC Series in Computational Science and Engineering. 349-502 (1996). Reviewer: W.Schempp (Siegen) MSC: 28A80 42C40 82B30 PDFBibTeX XMLCite \textit{A. Arneodo}, in: Wavelets: theory and applications. Formal notes of the short course on wavelets, Hampton, VA, USA, February 22--26, 1993. New York, NY: Oxford University Press. 349--502 (1996; Zbl 0889.28007)
Fan, Aihua Multifractal analysis of some Riesz products with phases. (Analyse multifractale de certains produits de Riesz avec phases.) (French. Abridged English version) Zbl 0865.42004 C. R. Acad. Sci., Paris, Sér. I 321, No. 4, 399-404 (1995). Reviewer: Hermann Haase (Greifswald) MSC: 42A55 28A80 PDFBibTeX XMLCite \textit{A. Fan}, C. R. Acad. Sci., Paris, Sér. I 321, No. 4, 399--404 (1995; Zbl 0865.42004)
Muzy, J. F.; Bacry, E.; Arneodo, A. The multifractal formalism revisited with wavelets. (English) Zbl 0807.58032 Int. J. Bifurcation Chaos Appl. Sci. Eng. 4, No. 2, 245-302 (1994). MSC: 37D45 42C40 28A78 94A12 65T40 PDFBibTeX XMLCite \textit{J. F. Muzy} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 4, No. 2, 245--302 (1994; Zbl 0807.58032) Full Text: DOI
Jaffard, Stéphane Multifractal formalism for functions. (Formalisme multifractal pour les fonctions.) (French. Abridged English version) Zbl 0787.28004 C. R. Acad. Sci., Paris, Sér. I 317, No. 8, 745-750 (1993). Reviewer: H.Haase (Greifswald) MSC: 28A80 42C15 PDFBibTeX XMLCite \textit{S. Jaffard}, C. R. Acad. Sci., Paris, Sér. I 317, No. 8, 745--750 (1993; Zbl 0787.28004)
Bacry, E.; Muzy, J. F.; Arnéodo, A. Singularity spectrum of fractal signals from wavelet analysis: Exact results. (English) Zbl 0943.37500 J. Stat. Phys. 70, No. 3-4, 635-674 (1993). MSC: 37A30 37A60 42C40 28A80 PDFBibTeX XMLCite \textit{E. Bacry} et al., J. Stat. Phys. 70, No. 3--4, 635--674 (1993; Zbl 0943.37500) Full Text: DOI