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Probability and Statistics

In the fist part of the talk, we will look to some statistical inverse problems for which the natural framework is no more an Euclidian one.
In the second part we will try to give the initial construction of (not orthogonal) wavelets -of the 80 - by Frazier, Jawerth,Weiss, before the Yves Meyer ORTHOGONAL wavelets theory.
In the third part we will propose a construction of a geometric wavelet theory. In the Euclidian case, Fourier transform plays a fundamental role. In the geometric situation this role is given to some "Laplacian operator" with some properties.
In the last part we will show that the previous theory could help to revisit the topic of regularity of Gaussian processes, and to give a criterium only based on the regularity of the covariance operator. In the fist part of the talk, we will look to some statistical inverse problems for which the natural framework is no more an Euclidian one.
In the second part we will try to give the initial construction of (not orthogonal) wavelets -of the 80 - by Frazier, Jawerth,Weiss, before the Yves Meyer ORTHOGONAL wavelets theory.
In the third part we will propose a construction of a geometric wavelet theory. In the Euclidian case, Fourier transform ...

42C15 ; 43A85 ; 46E35 ; 58J35 ; 43A80 ; 62G05 ; 62G08 ; 62G10 ; 62G20

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Documents 46E35 | enregistrements trouvés : 129

Statistical inverse problems and geometric "wavelet" construction Kerkyacharian, Gérard | CIRM H Nouveau

Theory and applications of differentiable functions of several variables. 16 Nikol'Skii, S. M. | American Mathematical Society 1994 Nouveau

Theory and applications of differentiable functions of several variables. 15 Besov, O. V. ; Il'in, V. A. ; Kudryavtsev, L. D. | American Mathematical Society 1994 Nouveau

Theory and applications of differentiable functions of several variables. 14 Nikol'Skii, S. M. | American Mathematical Society 1994 Nouveau

Spectral analysis, differential equations and mathematical physics: a festschrift in honor of Fritz Gesztesy's 60th birthday Holden, Helge ; Simon, Barry ; Teschl, Gerald | American Mathematical Society 2013 Nouveau

Séminaire équations au dérivées partielles 1986-1987 | Departement de Mathematiques Et Informatique;Université De Nantes 1987 Nouveau

Séminaire d'analyse n° 10 1994-1995 | Université Blaise Pascal 1995 Nouveau

Séminaire d'analyse harmonique 1980-1981 | Université de Paris-Sud Département de Mathématique 1982 Nouveau

Séminaire Bourbaki. Vol. 2010/2011:exposés 1027-1042 | Société Mathématique de France 2012 Nouveau

Problemes aux limites dans les equations aux derivees partielles Lions, Jacques-Lions | Les Presse de l'Université de Montréal 1965 Nouveau

Nonlinear elliptic partial differential equations.Workshop in celebration of Jean-Pierre Gossez's 65th birthdayBruxelles # september 2-4, 2009 Bonheure, Denis ; Cuesta, Mabel ; Lami Dozo, Enrique J. ; Takac, Peter ; Van Schaftingen, Jean ; Willem, Michel | American Mathematical Society 2011 Nouveau

Interpolation theory and applications :a conference in honor of Michael Cwikel#March 29-31AMS special session on...AMS sectional meeting#April 1-2 De Carti, Laura ; Milman, Mario | American Mathematical Society 2007 Nouveau

Interpolation spaces and allied topics in analysis :proceedings of the conference held in lund#Aug. 29 - Sept. 1 Cwikel, M. ; Peetre, J. | Springer-Verlag 1984 Nouveau

Inequalities and applications 2010:dedicated to the memory of Wolfgang Walter.Selected papers of the 2nd conference on inequalities and applicationsHajduszoboszlo # september 19-25, 2010 Bandle, Catherine ; Gilànyi, Attila ; Losonczi, Laszlo ; Plum, Michael | Birkhäuser 2012 Nouveau

Function spaces and applicationsproceedings of the u.s.-swedish seminar held in lund,sweden,june 15-21,1986 Cwikel, M. ; Peetre, J. ; Sagher, Y. | Springer-Verlag 1988 Nouveau

Analytic aspects of problems in Riemannian geometry: elliptic PDEs, solitons and computer imagingLandéda # may 9-13, 2005 Baird, Paul ; El Soufi, A. ; Fardoun, A. ; Regbaoui, R. | Société Mathématique de France 2011 Nouveau

On the relations between the $L^1$ norm of partial derivatives with very accessible proof Wojciechowski, Michal | CIRM H Nouveau

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Séminaire Bourbaki. Vol. 2010/2011:
exposés 1027-1042 | Société Mathématique de France 2012 Nouveau

Interpolation theory and applications :
a conference in honor of Michael Cwikel#March 29-31
AMS special session on...AMS sectional meeting#April 1-2 De Carti, Laura ; Milman, Mario | American Mathematical Society 2007 Nouveau

Interpolation spaces and allied topics in analysis :
proceedings of the conference held in lund#Aug. 29 - Sept. 1 Cwikel, M. ; Peetre, J. | Springer-Verlag 1984 Nouveau

Inequalities and applications 2010:
dedicated to the memory of Wolfgang Walter.
Selected papers of the 2nd conference on inequalities and applications
Hajduszoboszlo # september 19-25, 2010 Bandle, Catherine ; Gilànyi, Attila ; Losonczi, Laszlo ; Plum, Michael | Birkhäuser 2012 Nouveau

Function spaces and applications
proceedings of the u.s.-swedish seminar held in lund,sweden,june 15-21,1986 Cwikel, M. ; Peetre, J. ; Sagher, Y. | Springer-Verlag 1988 Nouveau

Analytic aspects of problems in Riemannian geometry: elliptic PDEs, solitons and computer imaging
Landéda # may 9-13, 2005 Baird, Paul ; El Soufi, A. ; Fardoun, A. ; Regbaoui, R. | Société Mathématique de France 2011 Nouveau