The Finite Upper Half Space and Related Hypergraphs

Journal of Number Theory

Volumn 84, Issue 2, 2000, Pages 342-360

  Martínez, Mari ́a G ^a,b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF STUTTGART   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034288429     PISSN: 0022314X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jnth.2000.2524     Document Type: Article

References (19)

1. Allen N. On the Spectra of Certain Graphs Arising from Finite Fields. 1996;UCSC.
2. Angel J. Finite upper half planes over finite fields. Finite Fields Appl. 2:1996;62-86.
3. Biggs N. Algebraic Graph Theory. 1974;Cambridge Univ. Press, Cambridge.
4. Broida J. G., Williamson S. G. A Comprehensive Introduction to Linear Algebra. 1989;Addison-Wesley, Redwood City.
5. Celniker N. Eigenvalue bounds and girths of graphs of finite upper half-planes. Pacific J. Math. 166:1994;1-21.
6. Chung F. R. K. The Laplacian of a hypergraph. DIMACS Series in Discrete Mathematics and Theoretical Computer Science. 1993;American Mathematical Society, Providence. p. 21-36.
7. Chung F. R. K. Spectral Graph Theory. CBMS Regional Conference Series in Mathematics. 92:1997;American Mathematical Society, Providence.
8. Diaconis P. Group Representations in Probability and Statistics. Lecture Notes-Monograph. 11:1988;Institute of Mathematical Statistics, Hayward.
9. Feng K., Li W.-C. W. Spectra of hypergraphs and applications. J. Number Theory. 60:1996;1-22.
10. Li W.-C. W. Estimates of character sums arising from finite upper half planes. Finite Fields Appl. 17:1996;219-228.
11. Li W.-C. W., Solé P. Spectra of regular graphs and hypergraphs and orthogonal polynomials. European J. Combin. 17:1996;461-477.
12. Lubotzky A. Discrete Groups, Expanding Graphs and Invariant Measures. Progress in Mathematics. 125:1994;Birkhäuser, Basel.
13. Lubotzky A., Phillips R., Sarnak P. Ramanujan graphs. Combinatorica. 8:1988;261-277.
14. Poulos S. Graph Theoretic and Spectral Properties of Finite Upper Half-Planes. 1991;UCSD.
15. Stark H. Modular forms and related objects. CMS Conf. Proc. Number Theory. 7:1985;421-455.
16. Terras A. Harmonic Analysis on Symmetric Spaces and Applications. 1985;Springer-Verlag, New York.
17. Terras A. Harmonic Analysis on Symmetric Spaces and Applications. 1988;Springer-Verlag, Berlin/New York.
18. Terras A. Fourier Analysis on Finite Groups and Applications. 1999;Cambridge Univ. Press, London.
19. Velasquez E. Radon transform on finite symmetric spaces. Pacific J. Math. 177:1997;369-376.