메뉴 건너뛰기




Volumn , Issue , 1995, Pages 253-262

Adapted diameters and the efficient computation of fourier transforms on finite groups

Author keywords

[No Author keywords available]

Indexed keywords

CHAINS; COMPUTATIONAL EFFICIENCY; DISCRETE FOURIER TRANSFORMS; FACTORIZATION; GROUP THEORY; MATRIX ALGEBRA; SIGNAL PROCESSING;

EID: 77649148930     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (9)

References (37)
  • 2
    • 84966241411 scopus 로고
    • Computing irreducible representations of finite groups
    • L. Babai and L. Rónyai. Computing irreducible representations of finite groups. Math. Comp. 55 (1990), 705-722.
    • (1990) Math. Comp. , vol.55 , pp. 705-722
    • Babai, L.1    Rónyai, L.2
  • 3
  • 4
    • 0027873264 scopus 로고
    • Las Vegas algorithms for matrix groups
    • R. Beals. and L. Babai. Las Vegas algorithms for matrix groups. Proc. 34th IEEE FOCS (1993), pp. 427-436.
    • (1993) Proc. 34th IEEE FOCS , pp. 427-436
    • Beals, R.1    Babai, L.2
  • 5
    • 0345748923 scopus 로고
    • Existence and efficient construction of fast Fourier transforms for supersolvable groups
    • U. Baum. Existence and efficient construction of fast Fourier transforms for supersolvable groups. Computational Complexity, 1 (1991), 235-256.
    • (1991) Computational Complexity , vol.1 , pp. 235-256
    • Baum, U.1
  • 6
    • 0026169412 scopus 로고
    • Some lower and upper complexity bounds for generalized Fourier transforms and their inverses
    • U. Baum and M. Clausen. Some lower and upper complexity bounds for generalized Fourier transforms and their inverses. SIAM J. Comput. 20(3) (1991), 451459.
    • (1991) SIAM J. Comput. , vol.20 , Issue.3 , pp. 451459
    • Baum, U.1    Clausen, M.2
  • 7
    • 0023518222 scopus 로고
    • On the computational complexity of the general discrete Fourier transform
    • T. Beth. On the computational complexity of the general discrete Fourier transform, Theoretical Computer Science 51 (1987), 331-339.
    • (1987) Theoretical Computer Science , vol.51 , pp. 331-339
    • Beth, T.1
  • 8
    • 0040170055 scopus 로고
    • Addition requirements for matrix and transposed matrix products
    • N. Bshouty, M. Kaminski, and D. Kirkpatrick. Addition requirements for matrix and transposed matrix products. J. of Algorithms 9 (1988), 354-364.
    • (1988) J. of Algorithms , vol.9 , pp. 354-364
    • Bshouty, N.1    Kaminski, M.2    Kirkpatrick, D.3
  • 11
    • 21344487862 scopus 로고
    • Fast Fourier transforms for symmetric groups, theory and implementation
    • M. Clausen and U. Baum, Fast Fourier transforms for symmetric groups, theory and implementation. Math. Comp. 61(204) (1993), 833-847.
    • (1993) Math. Comp. , vol.61 , Issue.204 , pp. 833-847
    • Clausen, M.1    Baum, U.2
  • 12
    • 0024680289 scopus 로고
    • Fast Fourier transforms metabel- ian groups
    • M. Clausen. Fast Fourier transforms metabel- ian groups. SIAM J. Comput. 18 (1989), 584-593.
    • (1989) SIAM J. Comput. , vol.18 , pp. 584-593
    • Clausen, M.1
  • 13
    • 0024962444 scopus 로고
    • Fast generalized Fourier transforms
    • M. Clausen. Fast generalized Fourier transforms. Theor. Comp. Sci. 67 (1989), 55-63.
    • (1989) Theor. Comp. Sci. , vol.67 , pp. 55-63
    • Clausen, M.1
  • 14
    • 84968470212 scopus 로고
    • An algorithm for machine calculation of complex Fourier series
    • J. W. Cooley and J. W. Tukey. An algorithm for machine calculation of complex Fourier series. Math. Comput. 19 (1965), 297-301.
    • (1965) Math. Comput. , vol.19 , pp. 297-301
    • Cooley, J.W.1    Tukey, J.W.2
  • 16
    • 85032069013 scopus 로고
    • Efficient computation of the Fourier transform on finite groups
    • P. Diaconis and D. Rockmore. Efficient computation of the Fourier transform on finite groups. J. of the A.M.S. 3(2) (1990), 297-332.
    • (1990) J. of the A.M.S. , vol.3 , Issue.2 , pp. 297-332
    • Diaconis, P.1    Rockmore, D.2
  • 17
    • 0039578698 scopus 로고
    • Efficient computation of isotypic projections for the symmetric group
    • eds. L. Finkelstein and W. Kantor
    • P. Diaconis and D. Rockmore. Efficient computation of isotypic projections for the symmetric group. DIM ACS Series in Disc. Math., Vol. 11 (eds. L. Finkelstein and W. Kantor), 87-104 (1993).
    • (1993) DIM ACS Series in Disc. Math. , vol.11 , pp. 87-104
    • Diaconis, P.1    Rockmore, D.2
  • 18
    • 0024772342 scopus 로고
    • Computing Fourier transforms and convolutions on the 2-sphere. (Extended abstract)
    • Adv. in Appl. Math., To appear
    • J. R. Driscoll and D. Healy. Computing Fourier transforms and convolutions on the 2-sphere. (Extended abstract) Proc. ZAth IEEE FOCS, (1989) pp. 344-349; (Adv. in Appl. Math., To appear.
    • (1989) Proc. ZAth IEEE FOCS , pp. 344-349
    • Driscoll, J.R.1    Healy, D.2
  • 22
    • 0003780715 scopus 로고
    • Addison-Wesley, Reading, MA
    • F. Harary. Graph Theory. Addison-Wesley, Reading, MA (1972).
    • (1972) Graph Theory
    • Harary, F.1
  • 24
    • 0003251578 scopus 로고
    • The representation theory of the symmetric groups
    • Springer-Verlag, Berlin
    • G. D. James. The Representation Theory of the Symmetric Groups. Lecture Notes in Mathematics., Vol. 682, Springer-Verlag, Berlin (1978).
    • (1978) Lecture Notes in Mathematics. , vol.682
    • James, G.D.1
  • 26
    • 26844500552 scopus 로고
    • Filtering in a communication channel by Fourier transforms over finite groups
    • M. Karpovsky (ed.) Acaddemic Press, NY
    • M. Karpovsky and E. Trachtenberg, Filtering in a communication channel by Fourier transforms over finite groups, in Spectral Techniques and Fault Detection, M. Karpovsky (ed.) Acaddemic Press, NY (1985), pp. 179212.
    • (1985) Spectral Techniques and Fault Detection , pp. 179212
    • Karpovsky, M.1    Trachtenberg, E.2
  • 28
    • 0012000581 scopus 로고
    • Fourier transforms with respect to monomial representations
    • S. Linton, G. Michler, and J. Olsson. Fourier transforms with respect to monomial representations. Math. Ann. 297 (1993), 253-268.
    • (1993) Math. Ann. , vol.297 , pp. 253-268
    • Linton, S.1    Michler, G.2    Olsson, J.3
  • 29
    • 0028201226 scopus 로고
    • Efficient computation of Fourier inversion for finite groups
    • D. Rockmore. Efficient computation of Fourier inversion for finite groups. J. of the A. CM. 41(1) (1994), 31-66.
    • (1994) J. of the A. CM. , vol.41 , Issue.1 , pp. 31-66
    • Rockmore, D.1
  • 30
    • 38249021225 scopus 로고
    • Fast Fourier analysis for abelian group extensions
    • D. Rockmore. Fast Fourier analysis for abelian group extensions. Adv. in Appl. Math. 11 (1990), 164-204.
    • (1990) Adv. in Appl. Math. , vol.11 , pp. 164-204
    • Rockmore, D.1
  • 33
    • 0003087148 scopus 로고
    • Computational methods in the study of permutation groups
    • J. Leech, ed., Pergamon Press
    • C. C. Sims, Computational methods in the study of permutation groups, in: Computational Problems in Abstract Algebra, J. Leech, ed., Pergamon Press 1970, pp. 169-183.
    • (1970) Computational Problems in Abstract Algebra , pp. 169-183
    • Sims, C.C.1
  • 34
    • 38249030224 scopus 로고
    • Some asymptotic results on finite vector spaces
    • R. Stong. Some asymptotic results on finite vector spaces. Adv. in Appl. Math. 9 (1988), 167-199.
    • (1988) Adv. in Appl. Math. , vol.9 , pp. 167-199
    • Stong, R.1
  • 35
    • 0001679991 scopus 로고
    • Die Einschränkung der Charaktere von GL(n, q) auf GL(n-l, q)
    • E. Thoma. Die Einschränkung der Charaktere von GL(n, q) auf GL(n-l, q). Math. Zeit, 119 (1971) 321338.
    • (1971) Math. Zeit , vol.119 , pp. 321338
    • Thoma, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.