-
1
-
-
36549092519
-
Transforms associated to square integrable group representations I: General results
-
A. Grossmann, J. Morlet, and T. Paul, "Transforms Associated to Square Integrable Group Representations I: General Results, J. Math. Phys. 26, 2473-2479 (1985).
-
(1985)
J. Math. Phys.
, vol.26
, pp. 2473-2479
-
-
Grossmann, A.1
Morlet, J.2
Paul, T.3
-
2
-
-
0000653944
-
On the regular representation of a nonunimodular locally compact group
-
M. Duflo and C. C. Moore, "On the Regular Representation of a Nonunimodular Locally Compact Group," J. Funct. Anal. 21, 209-243 (1976).
-
(1976)
J. Funct. Anal.
, vol.21
, pp. 209-243
-
-
Duflo, M.1
Moore, C.C.2
-
3
-
-
0001946411
-
Square-integrable representations of non-unimodular groups
-
A. L. Carey, Square-integrable Representations of Non-unimodular Groups, Bull. Austral. Math. Soc. 15, 1-12 (1976).
-
(1976)
Bull. Austral. Math. Soc.
, vol.15
, pp. 1-12
-
-
Carey, A.L.1
-
5
-
-
0030526326
-
Wavelets from square-integrable representations
-
D. Bernier and K. Taylor, "Wavelets from Square-Integrable Representations," SIAM J. Math. Anal. 27(2), 594-608 (1996).
-
(1996)
SIAM J. Math. Anal.
, vol.27
, Issue.2
, pp. 594-608
-
-
Bernier, D.1
Taylor, K.2
-
6
-
-
0025482241
-
The wavelet transform, time-frequency localization and signal analysis
-
I. Daubechies, "The Wavelet Transform, Time-Frequency Localization and Signal Analysis," IEEE Trans. Inform. Theory 34(4), 961-1005 (1988).
-
(1988)
IEEE Trans. Inform. Theory
, vol.34
, Issue.4
, pp. 961-1005
-
-
Daubechies, I.1
-
7
-
-
0002566774
-
A unified approach to atomic decompositions through integrable group representations
-
Function Spaces and Applications, edited by M. Cwikel et al., Springer, Berlin
-
H. G. Feichtinger and K.-H. Groechenig, "A Unified Approach to Atomic Decompositions through Integrable Group Representations," in Function Spaces and Applications, edited by M. Cwikel et al. (Lecture Notes in Mathematics 1302, Springer, Berlin, 1988), pp. 52-73.
-
(1988)
Lecture Notes in Mathematics
, vol.1302
, pp. 52-73
-
-
Feichtinger, H.G.1
Groechenig, K.-H.2
-
8
-
-
0024903928
-
Continuous and discrete wavelet transforms
-
C. E. Heil and D. F. Walnut, "Continuous and Discrete Wavelet Transforms," SIAM Rev. 31(4), 628-666 (1989).
-
(1989)
SIAM Rev.
, vol.31
, Issue.4
, pp. 628-666
-
-
Heil, C.E.1
Walnut, D.F.2
-
9
-
-
0004116414
-
-
McGraw-Hill, New York, 3rd ed.
-
See, for instance, 9.16 of W. Rudin, Real and Complex Analysis (McGraw-Hill, New York, 1987), 3rd ed.
-
(1987)
Real and Complex Analysis
-
-
Rudin, W.1
-
10
-
-
84972544333
-
Point realizations of transformation groups
-
G. W. Mackey, "Point Realizations of Transformation Groups," Illinois J. Math. 6, 327-335 (1962).
-
(1962)
Illinois J. Math.
, vol.6
, pp. 327-335
-
-
Mackey, G.W.1
-
12
-
-
0001101388
-
Locally compact transformation groups
-
J. G. Glimm, "Locally Compact Transformation Groups," Trans. Am. Math. Soc. 101, 124-138 (1961).
-
(1961)
Trans. Am. Math. Soc.
, vol.101
, pp. 124-138
-
-
Glimm, J.G.1
-
17
-
-
0000670833
-
Induced representations of locally compact groups, I
-
The existence of C is due to Lemma 1.1 of G. W. Mackey, "Induced Representations of Locally Compact Groups, I" Ann. Math. 55, 101-139 (1952).
-
(1952)
Ann. Math.
, vol.55
, pp. 101-139
-
-
Mackey, G.W.1
-
18
-
-
0001505484
-
Square integrability of group representations on homogeneous spaces. I. Reproducing triples and frames
-
S. T. Ali, J.-P. Antoine, and J.-P. Gazeau, "Square Integrability of Group Representations on Homogeneous Spaces. I. Reproducing Triples and Frames," Ann. Inst. Henri Poincaré 55, 829-855 (1991).
-
(1991)
Ann. Inst. Henri Poincaré
, vol.55
, pp. 829-855
-
-
Ali, S.T.1
Antoine, J.-P.2
Gazeau, J.-P.3
-
19
-
-
0001505487
-
Square integrability of group representations on homogeneous spaces. II. Coherent and quasi-coherent states. The case of the Poincaré Group
-
S. T. Ali, J.-P. Antoine, and J.-P. Gazeau, "Square Integrability of Group Representations on Homogeneous Spaces. II. Coherent and Quasi-coherent States. The Case of the Poincaré Group," Ann. Inst. Henri Poincaré 55, 857-890 (1991).
-
(1991)
Ann. Inst. Henri Poincaré
, vol.55
, pp. 857-890
-
-
Ali, S.T.1
Antoine, J.-P.2
Gazeau, J.-P.3
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