메뉴 건너뛰기




Volumn 5, Issue 1, 1996, Pages 15-32

Survey of spectra of laplacians on finite symmetric spaces

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0030305597     PISSN: 10586458     EISSN: 1944950X     Source Type: Journal    
DOI: 10.1080/10586458.1996.10504335     Document Type: Article
Times cited : (16)

References (64)
  • 1
    • 0001356889 scopus 로고
    • On the distribution of angles of Kloosterman sums
    • A. Adolphson, "On the distribution of angles of Kloosterman sums", J. reine angew. Math. 395 (1989), 214-220.
    • (1989) J. Reine Angew. Math. , vol.395 , pp. 214-220
    • Adolphson, A.1
  • 4
    • 0003193875 scopus 로고
    • Spherical functions and transforms on finite upper half-planes: Eigenvalues of the combinatorial Laplacian, uncertainty, traces
    • J. Angel, S. Poulos, A. Terras, C. Trimble, and E. Velasquez, "Spherical functions and transforms on finite upper half-planes: eigenvalues of the combinatorial Laplacian, uncertainty, traces", Contemporary Math. 173 (1994), 15-70.
    • (1994) Contemporary Math , vol.173 , pp. 15-70
    • Angel, J.1    Poulos, S.2    Terras, A.3    Trimble, C.4    Velasquez, E.5
  • 6
    • 0002983123 scopus 로고
    • The trace formula and Hecke operators
    • K. E. Aubert et alAcademic Press, Boston
    • James Arthur, "The trace formula and Hecke operators", pp. 11-27 in Number Theory, Trace Formulas, and Discrete Groups (edited by K. E. Aubert et al.), Academic Press, Boston, 1989.
    • (1989) Number Theory, Trace Formulas, and Discrete Groups , pp. 11-27
    • Arthur, J.1
  • 10
    • 0001745865 scopus 로고
    • Weighted quadratic partitions over a finite field
    • L. Carlitz, "Weighted quadratic partitions over a finite field", Canadian J. Math. 5 (1953), 317-323.
    • (1953) Canadian J. Math. , vol.5 , pp. 317-323
    • Carlitz, L.1
  • 11
    • 0001854496 scopus 로고
    • Eigenvalue bounds and girths of graphs of finite, upper half-planes
    • N. Celniker, "Eigenvalue bounds and girths of graphs of finite, upper half-planes", Pacific J. of Math. 166 (1994), 1-21.
    • (1994) Pacific J. Of Math. , vol.166 , pp. 1-21
    • Celniker, N.1
  • 13
    • 0011463945 scopus 로고
    • Constructing random-like graphs
    • San Francisco, 1991 (edited by B. Bollobas), Proc. Symp. Appl. Math. 44, Amer. Math. Soc., Providence
    • F. Chung, Constructing random-like graphs, pp. 21-55 in Probabilistic Combinaiorics and Its Applications, San Francisco, 1991 (edited by B. Bollobas), Proc. Symp. Appl. Math. 44, Amer. Math. Soc., Providence, 1991.
    • (1991) Probabilistic Combinaiorics and Its Applications , pp. 21-55
    • Chung, F.1
  • 15
    • 0003212162 scopus 로고
    • Group Representations in Probability and Statistics
    • Inst. Math. Statistics, Hayward, CA
    • P. Diaconis, Group Representations in Probability and Statistics, Lecture Notes-Monograph Series 11, Inst. Math. Statistics, Hayward, CA, 1988.
    • (1988) Lecture Notes-Monograph Series , vol.11
    • Diaconis, P.1
  • 16
    • 0001156342 scopus 로고
    • Spherical functions for finite upper half-planes with characteristic two
    • R. Evans, "Spherical functions for finite upper half-planes with characteristic two", Finite Fields and Their Applications 1 (1995), 376-394.
    • (1995) Finite Fields and Their Applications , vol.1 , pp. 376-394
    • Evans, R.1
  • 17
    • 0001831738 scopus 로고
    • Character sums as orthogonal eigenfunctions of adjacency operators for Cayley graphs
    • R. Evans, "Character sums as orthogonal eigenfunctions of adjacency operators for Cayley graphs", Contemporary Math. 168 (1994), 33-50.
    • (1994) Contemporary Math , vol.168 , pp. 33-50
    • Evans, R.1
  • 19
    • 0011462636 scopus 로고
    • Fresnel zones on the screen
    • P. Goetgheluck, "Fresnel zones on the screen", Experimental Math. 2 (1993), 301-309.
    • (1993) Experimental Math , vol.2 , pp. 301-309
    • Goetgheluck, P.1
  • 21
    • 0000305950 scopus 로고
    • Zeta functions of finite graphs and representations of p-adic groups
    • Academic Press, Boston
    • K. Hashimoto, "Zeta functions of finite graphs and representations of p-adic groups", pp. 211-280 in Automorphic Forms and Geometry of Arithmetic Varieties (edited by K. Hashimoto and Y. Namikawa), Advanced Studies in Pure Math. 15, Academic Press, Boston, 1989.
    • (1989) Automorphic Forms and Geometry of Arithmetic Varieties , vol.15 , pp. 211-280
    • Hashimoto, K.1
  • 22
    • 0001107629 scopus 로고
    • On the topography of Maass waveforms for PSL(2, ℤ)
    • D. Hejhal and B. Rackner, "On the topography of Maass waveforms for PSL(2, ℤ)", Experimental Math., 1 (1992), 275-305.
    • (1992) Experimental Math. , vol.1 , pp. 275-305
    • Hejhal, D.1    Rackner, B.2
  • 23
    • 85023804266 scopus 로고
    • Sommes Exponentielles, Asterisque
    • France, Paris
    • N. Katz, Sommes Exponentielles, Asterisque 79 (1980), Soc. Math. France, Paris, 1-209.
    • (1980) Soc. Math , pp. 1-209
    • Katz, N.1
  • 25
    • 0001147714 scopus 로고
    • Estimates for Soto-Andrade sums
    • N. Katz, "Estimates for Soto-Andrade sums", J. reine angew. Math. 438 (1993), 143-161.
    • (1993) J. Reine Angew. Math. , vol.438 , pp. 143-161
    • Katz, N.1
  • 26
    • 0001745330 scopus 로고
    • A note on exponential sums
    • N. Katz, "A note on exponential sums", Finite Fields Appl. 1 (1995), 395-398.
    • (1995) Finite Fields Appl , vol.1 , pp. 395-398
    • Katz, N.1
  • 27
    • 0003347515 scopus 로고
    • Heeke Algebras
    • A. Krieg, Heeke Algebras, Memoirs Amer. Math. Soc. 87 (#435) (1990), 158 pp.
    • (1990) Memoirs Amer. Math. Soc , vol.87 , Issue.435 , pp. 158
    • Krieg, A.1
  • 29
    • 84950854506 scopus 로고
    • Fast Fourier analysis for SL2 over a finite field and related numerical experiments
    • J. D. Lafferty and D. Rockmore, "Fast Fourier analysis for SL2 over a finite field and related numerical experiments", Experimental Math. 1 (1992), 115-139.
    • (1992) Experimental Math , vol.1 , pp. 115-139
    • Lafferty, J.D.1    Rockmore, D.2
  • 31
    • 0003956970 scopus 로고
    • Addison-Wesley, Reading, MA
    • S. Lang, Algebra, Addison-Wesley, Reading, MA, 1965.
    • (1965) Algebra
    • Lang, S.1
  • 32
    • 0000989231 scopus 로고
    • Character sums and Abelian Ramanujan graphs
    • W.-C. W. Li, "Character sums and Abelian Ramanujan graphs", J. Number Th. 41 (1992), 199-217.
    • (1992) J. Number Th , vol.41 , pp. 199-217
    • Li, W.-C.W.1
  • 33
    • 0011507833 scopus 로고    scopus 로고
    • A survey of Ramanujan graphs
    • France1993 (edited by R. Pellikaan et al.), de Gruyter, Berlin, 1996
    • W.-C. W. Li, "A survey of Ramanujan graphs", in Arithmetic, Geometry, and Coding Theory, Luminy, France, 1993 (edited by R. Pellikaan et al.), de Gruyter, Berlin, 1996.
    • Arithmetic, Geometry, and Coding Theory, Luminy
    • Li, W.-C.W.1
  • 37
    • 0000294458 scopus 로고
    • The expected eigenvalue distribution of a large regular graph
    • B. D. McKay, "The expected eigenvalue distribution of a large regular graph", Linear Algebra Appl. 40 (1981), 203-216.
    • (1981) Linear Algebra Appl , vol.40 , pp. 203-216
    • McKay, B.D.1
  • 38
    • 46749146380 scopus 로고
    • MATLAB Version 4 User's Guide, Prentice Hall, Englewood Cliffs, NJ
    • A. Lubotzky, The MathWorks Inc., MATLAB Version 4 User's Guide, Prentice Hall, Englewood Cliffs, NJ, 1995.
    • (1995) The Mathworks Inc
    • Lubotzky, A.1
  • 39
    • 0030125568 scopus 로고    scopus 로고
    • Finite analogues of Euclidean space
    • A. Medrano, P. Myers, H. Stark, and A. 'Ierras, "Finite analogues of Euclidean space", to appear in J. Compo Appl. Math. 68 (1996).
    • (1996) J. Compo Appl. Math , pp. 68
    • Medrano, A.1    Myers, P.2
  • 44
    • 0003432641 scopus 로고
    • 3rd ed., Harcourt, Brace, Jovanovich, San Diego
    • D. Powers, Boundary Value Problems, 3rd ed., Harcourt, Brace, Jovanovich, San Diego, 1987.
    • (1987) Boundary Value Problems
    • Powers, D.1
  • 45
    • 0001770692 scopus 로고
    • Über die Kloostermanschen Summen S(U, v; q)
    • H. Sallé, Über die Kloostermanschen Summen S(u, v; q), Math. Z. 34 (1932), 91-109.
    • (1932) Math. Z , vol.34 , pp. 91-109
    • Sallé, H.1
  • 47
    • 0000662003 scopus 로고
    • Arithmetic quantum chaos
    • (Tel Aviv, 1992), Israel Math. Soc. Conf. Proc. 8, Bar-Ilan University, Ramat-Gan
    • P. Sarnak, "Arithmetic quantum chaos", pp. 183-236 in The Schur Lectures (Tel Aviv, 1992), Israel Math. Soc. Conf. Proc. 8, Bar-Ilan University, Ramat-Gan, 1995.
    • (1995) The Schur Lectures , pp. 183-236
    • Sarnak, P.1
  • 49
    • 0004034096 scopus 로고
    • Equations over Finite Fields: An Elementary Approach
    • Springer, New York
    • W. Schmidt, Equations over Finite Fields: An Elementary Approach, Lecture Notes in Math. 536, Springer, New York, 1976.
    • (1976) Lecture Notes in Math , vol.536
    • Schmidt, W.1
  • 51
    • 0001101076 scopus 로고
    • Geometrical Gel'fand models, tensor quotients, and Weil representations
    • (Arcata, CA, 1986), Proc. Symp. Pure Math. 47, part 2, Amer. Math. Soc., Providence
    • J. Soto-Andrade, "Geometrical Gel'fand models, tensor quotients, and Weil representations", pp. 305-316 in Arcata Conference on Representations of Finite Groups (Arcata, CA, 1986), Proc. Symp. Pure Math. 47, part 2, Amer. Math. Soc., Providence, 1987.
    • (1987) Arcata Conference on Representations of Finite Groups , pp. 305-316
    • Soto-Andrade, J.1
  • 53
    • 0011414687 scopus 로고
    • An introduction to group representations and orthogonal polynomials
    • Kluwer, Dordrecht
    • D. Stanton, "An introduction to group representations and orthogonal polynomials", pp. 419-433 in Orthogonal Polynomials: Theory and Practice (edited by P. Nevai and M. E. H. Ismail), Kluwer, Dordrecht, 1990.
    • (1990) Orthogonal Polynomials: Theory and Practice , pp. 419-433
    • Stanton, D.1
  • 54
    • 0000926571 scopus 로고
    • Modular forms and related objects
    • H. Stark, "Modular forms and related objects", Canadian Math. Soc. Conf. Proc. 7 (1987), 421-455.
    • (1987) Canadian Math. Soc. Conf. Proc. , vol.7 , pp. 421-455
    • Stark, H.1
  • 55
    • 0011516291 scopus 로고    scopus 로고
    • Zeta functions of finite graphs and coverings
    • H. Stark and A. Terras, "Zeta functions of finite graphs and coverings", to appear in Advances in Math.
    • Advances in Math
    • Stark, H.1    Terras, A.2
  • 57
    • 0002408030 scopus 로고
    • Fundamental groups and Laplacians
    • Katata/Kyoto, 1987 (edited by T. Sunada), Lecture Notes in Math. 1339, Springer, New York
    • T. Sunada, "Fundamental groups and Laplacians", pp. 248-277 in Geometry and Analysis on Manifolds, Katata/Kyoto, 1987 (edited by T. Sunada), Lecture Notes in Math. 1339, Springer, New York, 1988.
    • (1988) Geometry and Analysis on Manifolds , pp. 248-277
    • Sunada, T.1
  • 60
    • 0003705593 scopus 로고    scopus 로고
    • Fourier analysis on finite groups and applications
    • Univ. California San Diego, 1991-1992
    • A. Terras, "Fourier analysis on finite groups and applications", Lecture Notes, Univ. California San Diego, 1991-1992.
    • Lecture Notes
    • Terras, A.1
  • 62
    • 0000212957 scopus 로고
    • The Selberg trace formula, Ramanujan graphs, and some problems of mathematical physics
    • A. B. Venkov and A. M. Nikitin, "The Selberg trace formula, Ramanujan graphs, and some problems of mathematical physics", Petersburg Math. J. 5 (1994), 419-484.
    • (1994) Petersburg Math. J. , vol.5 , pp. 419-484
    • Venkov, A.B.1    Nikitin, A.M.2
  • 63
    • 0001303344 scopus 로고
    • On some exponential sums
    • Reprinted as pp. 386-389 of his Collected Works I, Springer, New York, 1980
    • A. Weil, "On some exponential sums", Proc. Nat. Acad. Sci. 34 (1948), 204-207. Reprinted as pp. 386-389 of his Collected Works I, Springer, New York, 1980.
    • (1948) Proc. Nat. Acad. Sci , vol.34 , pp. 204-207
    • Weil, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.