New classes of weighted Hölder-Zygmund spaces and the wavelet transform

Journal of Function Spaces and Applications

Volumn , Issue , 2012, Pages

  Pilipović, Stevan ^a   Rakić, Dušan ^a   Vindas, Jasson ^b  

^a UNIVERSITY OF NOVI SAD   (Serbia)

^b GHENT UNIVERSITY   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84864936343     PISSN: 09726802     EISSN: None     Source Type: Journal    
DOI: 10.1155/2012/815475     Document Type: Article

References (25)

1. Holschneider M., Wavelets. An Analysis Tool 1995 New York, NY, USA The Clarendon Press, Oxford University Press
2. Jaffard S., Meyer Y., Wavelet methods for pointwise regularity and local oscillations of functions Memoirs of the American Mathematical Society 1996 123 587
3. Meyer Y., Wavelets, Vibrations and Scalings 1998 9 Providence, RI, USA American Mathematical Society CRM Monograph Series
4. Hollschneider M., More on the analysis of local regularity through wavelets Journal of Statistical Physics 1994 77 3-4 807 840
5. Hrmander L., Lectures on Nonlinear Hyperbolic Dierential Equations 1997 Berlin, Germany Springer
6. Stein E. M., Singular Integrals and Differentiability Properties of Functions 1970 Princeton, NJ, USA Princeton University Press
7. Bingham N. H., Goldie C. M., Teugels J. L., Regular Variation 1989 27 Cambridge, UK Cambridge University Press Encyclopedia of Mathematics and its Applications
8. Seneta E., Regularly Varying Functions 1976 508 Berlin, Germany Springer Lecture Notes in Mathematics
9. Holschneider M., Localization properties of wavelet transforms Journal of Mathematical Physics 1993 34 7 3227 3244
10. Pilipovi S., Vindas J., Multidimensional Tauberian theorems for wavelet and non-wavelet transforms. submitted, http://arxiv.org/abs/1012.5090
11. Vindas J., Pilipovi S., Raki D., Tauberian theorems for the wavelet transform The Journal of Fourier Analysis and Applications 2011 17 1 65 95
12. Schwartz L., Théorie des Distributions 1966 Paris, France Hermann
13. Samko S. G., Hypersingular Integrals and Their Applications 2002 5 New York, NY, USA Taylor Francis
14. Sebastio e Silva J., Sur la définition et la structure des distributions vectorielles Portugaliae Mathematica 1960 19 1 1 80
15. Trves F., Topological Vector Spaces, Distributions and Kernel 1967 New York, NY, USA Academic Press
16. Vindas J., Generalized Littlewood-Paley pairs and vector-valued distributions. Preprint
17. Estrada R., Kanwal R. P., A Distributional Approach to Asymptotics. Theory and Applications 2002 2nd Boston, Mass, USA Birkhuser
18. Pilipovi S., Stankovi B., Vindas J., Asymptotic Behavior of Generalized Functions 2011 5 Hackensack, NJ, USA World Scientific Publishing Series on Analysis, Applications and Computation
19. Vladimirov V. S., Drozzinov Y. N., Zavialov B. I., Tauberian Theorems for Generalized Functions 1988 10 Dordrecht, The Netherlands Kluwer Academic Publishers Group
20. Vindas J., Pilipovi S., Structural theorems for quasiasymptotics of distributions at the origin Mathematische Nachrichten 2009 282 11 1584 1599
21. ojasiewicz S., Sur la valeur et la limite d'une distribution en un point Studia Mathematica 1957 16 1 36
22. ojasiewicz S., Sur la fixation des variables dans une distribution Studia Mathematica 1958 17 1 64
23. Estrada R., Vindas J., A general integral Dissertationes Mathematicae 2012 483 1 49
24. Vindas J., Estrada R., Distributionally regulated functions Studia Mathematica 2007 181 3 211 236
25. Walter G. G., Pointwise convergence of wavelet expansions Journal of Approximation Theory 1995 80 1 108 118