A Paley-Wiener Theorem for All Two- and Three-Step Nilpotent Lie Groups

Journal of Functional Analysis

Volumn 133, Issue 2, 1995, Pages 277-300

  Park, Robert ^a  

^a LOUISIANA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039980646     PISSN: 00221236     EISSN: 10960783     Source Type: Journal    
DOI: 10.1006/jfan.1995.1126     Document Type: Article

References (7)

1. L. Corwin and F. P. Greenleaf, “Representations of Nilpotent Lie Groups and Their Applications. Part 1. Basic Theory and Examples,” Cambridge Univ. Press, New York, 1990.
2. L. Corwin and F. P. Greenleaf, Fourier transforms of smooth functions on certain nilpotent Lie groups, J. Fund. Anal. 37, No. 2 (1980).
3. H. Dym and H. P. McKean, “Fourier Series and Integrals," Academic Press, San Diego, 1972.
4. R. R. Goldberg, “Fourier Transforms,” Cambridge Univ. Press, London, 1961.
5. J. E. Humphreys, “Introduction to Lie Algebras and Representation Theory,” Springer-Verlag, New York/Heidelberg/Berlin, 1972.
6. J. D. Moss Jr, A Paley-Wiener theorem for selected nilpotent Lie groups, J. Fund. Anal. 114, No. 2 (1993), 395-411.
7. R. Park, “A Paley-Wiener Theorem for All Two-and Three-Step Nilpotent Lie Groups,” Louisiana State University, 1994.