An uncertainty principle for ultraspherical expansions

Journal of Mathematical Analysis and Applications

Volumn 209, Issue 2, 1997, Pages 624-634

  Rösler, Margit ^a   Voit, Michael ^b  

^a TECHNICAL UNIVERSITY OF MUNICH   (Germany)

^b UNIVERSITY OF TÜBINGEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENCE EQUATIONS; DIFFERENTIAL EQUATIONS; FUNCTIONS; MATHEMATICAL OPERATORS; NUMERICAL ANALYSIS;

FREQUENCY VARIANCE; GAUSSIAN MEASURES; ULTRASPHERICAL EXPANSIONS; UNCERTAINTY PRINCIPLE;

PROBABILITY;

EID: 0031130416     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1997.5386     Document Type: Article

References (12)

1. Breitenberger E. Uncertainty measures and uncertainty relations for angle observables. Found. Phys. 15:1985;353-364.
2. Carruthers P., Nieto M. M. Coherent states and the number-phase uncertainty relation. Phys. Rev. Lett. 14:1965;387-389.
3. Donoho D. L., Stark P. B. Uncertainty principles and signal recovery. SIAM J. Appl. Math. 49:1989;906-931.
4. Dunkl C. F. Differential-difference operators associated to reflection groups. Trans. Amer. Math. Soc. 311:1989;167-183.
5. Narcowich F. J., Ward J. D. Wavelets associated with periodic basis functions. Appl. Comput. Harmonic Anal. 3:1996;40-56.
6. Narcowich F. J., Ward J. D. Nonstationary wavelets on the m-sphere for scattered data. Appl. Comput. Harmon. Anal. 3:1996;324-336.
7. J. Prestin, E. Quak, 1995, Optimal functions for a periodic uncertainty principle and multiresolution analysis, University of Rostock.
8. M. Rösler, M. Voit, 1996, An uncertainty principle for Hankel transforms.
9. Strichartz R. S. Uncertainty principles in harmonic analysis. J. Funct. Anal. 84:1989;97-114.
10. Szegö G. Orthogonal Polynomials. 1959;Amer. Math. Soc. New York.
11. Vilenkin N. Ja. Special functions and the theory of group representations. Transl. Math. Monographs. 1968;Amer. Math. Soc. Providence.
12. Voit M. An uncertainty principle for commutative hypergroups and Gelfand pairs. Math. Nachr. 164:1993;187-195.