-
1
-
-
1842697971
-
The complexity of group algebra computations
-
Atkinson, M. (1977). The complexity of group algebra computations, Theor. Comp. Sci. 5, 205-209.
-
(1977)
Theor. Comp. Sci.
, vol.5
, pp. 205-209
-
-
Atkinson, M.1
-
2
-
-
0000944835
-
A fast algorithm for the evaluation of Legendre transforms
-
Alpert, B. and Rokhlin, V. (1991). A fast algorithm for the evaluation of Legendre transforms, SIAM J. Sci. Statist. Comput. 12, 158-179.
-
(1991)
SIAM J. Sci. Statist. Comput.
, vol.12
, pp. 158-179
-
-
Alpert, B.1
Rokhlin, V.2
-
3
-
-
0345748923
-
Existence and efficient construction of fast Fourier transforms for supersolvable groups
-
Baum, U. (1991). Existence and efficient construction of fast Fourier transforms for supersolvable groups, Comput. Complexity 1, 235-256.
-
(1991)
Comput. Complexity
, vol.1
, pp. 235-256
-
-
Baum, U.1
-
5
-
-
84966215015
-
Inductive limits of finite dimensional C*-algebras
-
Bratelli, O. (1972). Inductive limits of finite dimensional C*-algebras, Trans. Am. Math. Soc. 171, 195-234.
-
(1972)
Trans. Am. Math. Soc.
, vol.171
, pp. 195-234
-
-
Bratelli, O.1
-
6
-
-
0024962444
-
Fast generalized Fourier transforms
-
Clausen, M. (1989). Fast generalized Fourier transforms, Theoret. Comput. Sci. 67, 55-63.
-
(1989)
Theoret. Comput. Sci.
, vol.67
, pp. 55-63
-
-
Clausen, M.1
-
9
-
-
84968470212
-
An algorithm for machine calculation of complex Fourier series
-
Cooley, J. and Tukey, J. (1965). An algorithm for machine calculation of complex Fourier series, Math. Comp. 19, 297-301.
-
(1965)
Math. Comp.
, vol.19
, pp. 297-301
-
-
Cooley, J.1
Tukey, J.2
-
10
-
-
85032069013
-
Efficient computation of the Fourier transform on finite groups
-
Diaconis, and Rockmore, D. (1990). Efficient computation of the Fourier transform on finite groups, J. Am. Math. Soc. 3(2), 297-332.
-
(1990)
J. Am. Math. Soc.
, vol.3
, Issue.2
, pp. 297-332
-
-
Diaconis1
Rockmore, D.2
-
11
-
-
0008701975
-
Computing Fourier transforms and convolutions on the 2-sphere
-
1989
-
Driscoll, J.R. and Healy, Jr., D. (1994). Computing Fourier transforms and convolutions on the 2-sphere, (extended abstract) Proc. 34th IEEE FOCS, (1989), 344-349; Adv. in Appl. Math., 15, 202-250.
-
(1994)
Proc. 34th IEEE FOCS
, pp. 344-349
-
-
Driscoll, J.R.1
Healy Jr., D.2
-
12
-
-
0000273884
-
-
Driscoll, J.R. and Healy, Jr., D. (1994). Computing Fourier transforms and convolutions on the 2-sphere, (extended abstract) Proc. 34th IEEE FOCS, (1989), 344-349; Adv. in Appl. Math., 15, 202-250.
-
Adv. in Appl. Math.
, vol.15
, pp. 202-250
-
-
-
13
-
-
0031209710
-
Fast discrete polynomial transforms with applications to data analysis for distance transitive graphs
-
to appear
-
Driscoll, J.R., Healy, Jr., D., and Rockmore, D. Fast discrete polynomial transforms with applications to data analysis for distance transitive graphs, SIAM J. Comput. (to appear).
-
SIAM J. Comput.
-
-
Driscoll, J.R.1
Healy Jr., D.2
Rockmore, D.3
-
14
-
-
0000834650
-
Finite dimensional representations of the group of unimodular matrices
-
Russian
-
Gel'fand, I.M. and Tsetlin, M. (1950). Finite dimensional representations of the group of unimodular matrices, Dokl. Akad. Nauk SSSR 71, 825-828 (Russian).
-
(1950)
Dokl. Akad. Nauk SSSR
, vol.71
, pp. 825-828
-
-
Gel'fand, I.M.1
Tsetlin, M.2
-
15
-
-
0003760179
-
-
Springer-Verlag, New York
-
Goodman, F., de la Harpe, P., and Jones, V. (1989). Coxeter Graphs and Towers of Algebras, Springer-Verlag, New York.
-
(1989)
Coxeter Graphs and Towers of Algebras
-
-
Goodman, F.1
De la Harpe, P.2
Jones, V.3
-
17
-
-
1842748331
-
-
in preparation
-
Healy, Jr., D., Maslen, D., Moore, S., Rockmore, D., and Taylor, M. Applications of a fast convolution algorithm on the 2-sphere, in preparation.
-
Applications of a Fast Convolution Algorithm on the 2-sphere
-
-
Healy Jr., D.1
Maslen, D.2
Moore, S.3
Rockmore, D.4
Taylor, M.5
-
18
-
-
1842798831
-
-
Technical Report, Department of Mathematics and Computer Science, Dartmouth College
-
Healy, Jr., D., Moore, S., and Rockmore, D. (1994). Efficiency and reliability issues in a fast Fourier transform on the 2-sphere, Technical Report, Department of Mathematics and Computer Science, Dartmouth College.
-
(1994)
Efficiency and Reliability Issues in a Fast Fourier Transform on the 2-sphere
-
-
Healy Jr., D.1
Moore, S.2
Rockmore, D.3
-
19
-
-
0017548434
-
Fast Fourier transforms on finite nonabelian groups
-
Karpovsky, M. (1977). Fast Fourier transforms on finite nonabelian groups, IEEE Trans. Comput. 26(10), 1028-1030.
-
(1977)
IEEE Trans. Comput.
, vol.26
, Issue.10
, pp. 1028-1030
-
-
Karpovsky, M.1
-
21
-
-
0004076337
-
-
Mathematics and its Applications (Soviet Series), vol. 74, Kluwer, Boston
-
Klimyk, A. and Vilenkin, N. (1993). Representation of Lie Groups and Special Functions, vol. 2, Mathematics and its Applications (Soviet Series), vol. 74, Kluwer, Boston.
-
(1993)
Representation of Lie Groups and Special Functions
, vol.2
-
-
Klimyk, A.1
Vilenkin, N.2
-
22
-
-
0004076337
-
-
Mathematics and its Applications (Soviet Series), vol. 75, Kluwer, Boston
-
Klimyk, A. and Vilenkin, N. (1993). Representation of Lie Groups and Special Functions, vol. 3, Mathematics and its Applications (Soviet Series), vol. 75, Kluwer, Boston.
-
(1993)
Representation of Lie Groups and Special Functions
, vol.3
-
-
Klimyk, A.1
Vilenkin, N.2
-
24
-
-
0003956970
-
-
Addison-Wesley, Reading, MA
-
Lang, S. (1984). Algebra, 2nd ed., Addison-Wesley, Reading, MA.
-
(1984)
Algebra, 2nd Ed.
-
-
Lang, S.1
-
25
-
-
0038929679
-
-
Ph.D. Thesis, Department of Mathematics, Harvard University, Cambridge, MA
-
Maslen, D. (1993). Fast transforms and sampling for compact groups, Ph.D. Thesis, Department of Mathematics, Harvard University, Cambridge, MA.
-
(1993)
Fast Transforms and Sampling for Compact Groups
-
-
Maslen, D.1
-
28
-
-
1842798830
-
The efficient computation of Fourier transforms on the symmetric group
-
preprint IHES/M/96/52, to appear
-
Maslen, D. The efficient computation of Fourier transforms on the symmetric group, preprint IHES/M/96/52, and Math. Comp. (to appear).
-
Math. Comp.
-
-
Maslen, D.1
-
29
-
-
0002284692
-
Generalized FFTs - A survey of some recent results
-
L. Finkelstein and W. Kantor, Eds.
-
Maslen, D. and Rockmore, D. (1996). Generalized FFTs - a survey of some recent results, DIMACS Ser. Discrete Math. Theoret. Comput. Sci., Groups and Computation, II, L. Finkelstein and W. Kantor, Eds., 183-237.
-
(1996)
DIMACS Ser. Discrete Math. Theoret. Comput. Sci., Groups and Computation
, vol.2
, pp. 183-237
-
-
Maslen, D.1
Rockmore, D.2
-
30
-
-
85009731502
-
Separation of variables and the efficient computation of Fourier transforms on finite groups, I
-
Maslen, D. and Rockmore, D. (1997). Separation of variables and the efficient computation of Fourier transforms on finite groups, I, J. Am. Math. Soc. 10 (1), 169-214.
-
(1997)
J. Am. Math. Soc.
, vol.10
, Issue.1
, pp. 169-214
-
-
Maslen, D.1
Rockmore, D.2
-
33
-
-
21144466359
-
Symmetry stabilization for polynomial evaluation and interpolation
-
Moore, S., Healy, Jr., D., and Rockmore, D. (1993). Symmetry stabilization for polynomial evaluation and interpolation, Linear Algebra Appl. 192, 249-299.
-
(1993)
Linear Algebra Appl.
, vol.192
, pp. 249-299
-
-
Moore, S.1
Healy Jr., D.2
Rockmore, D.3
-
34
-
-
38249021225
-
Fast Fourier analysis for abelian group extensions
-
Rockmore, D. (1990). Fast Fourier analysis for abelian group extensions, Adv. in Appl. Math. 11, 164-204.
-
(1990)
Adv. in Appl. Math.
, vol.11
, pp. 164-204
-
-
Rockmore, D.1
-
35
-
-
0000513396
-
Some applications of generalized FFTs
-
L. Finkelstein and W. Kantor, Eds.
-
Rockmore, D. (1996). Some applications of generalized FFTs, DIMACS Ser. Discrete Math. Theoret. Comput. Sci., Groups and Computation, II, L. Finkelstein and W. Kantor, Eds., 329-369.
-
(1996)
DIMACS Ser. Discrete Math. Theoret. Comput. Sci., Groups and Computation, II
, pp. 329-369
-
-
Rockmore, D.1
-
36
-
-
0003212481
-
Special functions and the theory of group representations
-
AMS, Providence RI
-
Vilenkin, N. (1968). Special functions and the theory of group representations, Transl. Math. Monog. 22 AMS, Providence RI.
-
(1968)
Transl. Math. Monog.
, vol.22
-
-
Vilenkin, N.1
-
38
-
-
0347010139
-
On the algebraic structure of certain partially observable finite-state Markov processes
-
Willsky, A.S. (1978). On the algebraic structure of certain partially observable finite-state Markov processes, Inform. Contr., 38, 179-212.
-
(1978)
Inform. Contr.
, vol.38
, pp. 179-212
-
-
Willsky, A.S.1
-
39
-
-
0000290463
-
Compact Lie groups and their representations
-
AMS, Providence RI
-
Želobenko, D. (1973). Compact Lie groups and their representations, Transl. Math. Monog. 40 AMS, Providence RI.
-
(1973)
Transl. Math. Monog.
, vol.40
-
-
Želobenko, D.1
|