Sampling of Paley-Wiener Functions on Stratified Groups

Journal of Fourier Analysis and Applications

Volumn 4, Issue 3, 1998, Pages 271-281

  Pesenson, Isaac ^a  

^a Temple University   (United States)

Author keywords

Bernstein inequality; Lagrangian spline; Stratified group; Sub Laplacian

Indexed keywords

EID: 1842633361     PISSN: 10695869     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02476027     Document Type: Article

References (15)

1. Benedetto, J. (1992). Irregular sampling and frames, in Wavelets: A Tutorial in Theory and Applications, Chui, C.K. Ed., Academic Press, Boston, 445-507.
2. Ter Elst, A.F.M. and Robinson, D.W. (1994). Subelliptic operators on Lie groups: regularity, J. Austral. Math. Soc., (Series A), 57, 179-229.
3. Folland, G. (1975). Subelliptic estimates and function spaces on nilpotent Lie groups, Ark. Mat., 13, 161-207.
4. Krein, S. and Pesenson, I. (1990). Interpolation Spaces and Approximation on Lie Groups, The Voronezh State University, Voronezh, (in Russian), 200.
5. Lemarie, P. (1990). Bases d'ondelettes sur les groupes stratifies, Bull. Soc. Math. France, 177, 211-232.
6. Lions, J.-L. and Magenes, E. (1975). Non-Homogeneous Boundary Value Problem and Applications, Springer-Verlag.
7. Meyer, Y. (1990). Ondelettes et Operateurs, 2 volumes, Hermann, Paris.
8. Pesenson, I. (1983). The Nikol'skii-Besov Spaces in Representations of Lie Groups. Dokl. Acad. Nauk USSR, 273(1), 45-49; English translation in Soviet Math. Dokl., 28, (1983).
9. Pesenson, I. (1983). The Nikol'skii-Besov Spaces in Representations of Lie Groups. Dokl. Acad. Nauk USSR, 273(1), 45-49; English translation in Soviet Math. Dokl., 28, (1983).
10. Pesenson, I. (1990). The Bernstein Inequality in the Space of Representation of Lie group. Dokl. Acad. Nauk USSR, 313(4), 86-90; English translation in Soviet Math. Dokl., 42, (1991).
11. Pesenson, I. (1990). The Bernstein Inequality in the Space of Representation of Lie group. Dokl. Acad. Nauk USSR, 313(4), 86-90; English translation in Soviet Math. Dokl., 42, (1991).
12. Pesenson, I. (1990). Approximation in Representation Space of a Lie Group. Izvestiya VUZ, Mathematika, 34(7), 43-50; English translation in Soviet Math., 34(7), (1991).
13. Pesenson, I. (1990). Approximation in Representation Space of a Lie Group. Izvestiya VUZ, Mathematika, 34(7), 43-50; English translation in Soviet Math., 34(7), (1991).
14. Pesenson, I. (1995). Lagrangian Splines, Spectral Entire Functions and Shannon-Whittaker Theorem on Manifolds, Temple University Research Report 95-87, 1-28.
15. Pesenson, I. (1996). A sampling theorem on homogeneous manifolds, submitted.