-
1
-
-
0003914560
-
Proofs of the completeness of lattice states in the kq-representation
-
H.Bacry, A.Grossmann, and J.Zak, Proofs of the completeness of lattice states in the kq-representation, Phys. Rev., B12(1975), 1118-1120.
-
(1975)
Phys. Rev.
, vol.B12
, pp. 1118-1120
-
-
Bacry, H.1
Grossmann, A.2
Zak, J.3
-
2
-
-
0000026989
-
On the completeness of coherent states
-
MR 44:7860
-
V.Bargmann, P.Butera, L.Girardello and J.R.Klauder, On the completeness of coherent states, Rep. Math. Phys., 2(1971), 221-228. MR 44:7860
-
(1971)
Rep. Math. Phys.
, vol.2
, pp. 221-228
-
-
Bargmann, V.1
Butera, P.2
Girardello, L.3
Klauder, J.R.4
-
3
-
-
84951603000
-
Differentiation and the Balian-low theorem
-
MR 98f:42002
-
J.J.Benedetto, C.Heil, and D.Walnut, Differentiation and the Balian-Low theorem, J. Fourier Anal. Appl., 1(1995), 355-402. MR 98f:42002
-
(1995)
J. Fourier Anal. Appl.
, vol.1
, pp. 355-402
-
-
Benedetto, J.J.1
Heil, C.2
Walnut, D.3
-
5
-
-
0030335735
-
Atomic decomposition via projective group representations
-
MR 98h:43004
-
O.Christensen, Atomic decomposition via projective group representations, Rocky Mountain J. Math., 26(1996), 1289-1312. MR 98h:43004
-
(1996)
Rocky Mountain J. Math.
, vol.26
, pp. 1289-1312
-
-
Christensen, O.1
-
6
-
-
0038869312
-
Moment problems and stability results for frames with applications to irregular sampling and Gabor frames
-
MR 97f:44007
-
O.Christensen, Moment problems and stability results for frames with applications to irregular sampling and Gabor frames, Appl. Comp. Harmonic Anal., 3(1996), 82-86. MR 97f:44007
-
(1996)
Appl. Comp. Harmonic Anal.
, vol.3
, pp. 82-86
-
-
Christensen, O.1
-
7
-
-
22444456042
-
Perturbation of operators and applications to frame theory
-
MR 98j:47028
-
O.Christensen, Perturbation of operators and applications to frame theory, J. Four. Anal. Appl., 3(1997), 543 - 557. MR 98j:47028
-
(1997)
J. Four. Anal. Appl.
, vol.3
, pp. 543-557
-
-
Christensen, O.1
-
8
-
-
0035632153
-
Frames, Riesz bases, and discrete Gabor/wavelet expansions
-
MR 2002c:42040
-
O. Christensen, Frames, Riesz bases, and discrete Gabor/wavelet expansions, Bulletin (New series) of Amer. Math. Soc., 38(2001), 273-291. MR 2002c:42040
-
(2001)
Bulletin (New Series) of Amer. Math. Soc.
, vol.38
, pp. 273-291
-
-
Christensen, O.1
-
9
-
-
0000632571
-
Density of Gabor frames
-
MR 2000j:42043
-
O.Christensen, B.Deng, and C.Heil, Density of Gabor frames, Appl. Comput. Harmon. Anal., 7(1999), 292-304. MR 2000j:42043
-
(1999)
Appl. Comput. Harmon. Anal.
, vol.7
, pp. 292-304
-
-
Christensen, O.1
Deng, B.2
Heil, C.3
-
10
-
-
21144467578
-
Inequalities of Littlewood-Paley type for frames and wavelets
-
MR 94d:42039
-
C.K.Chui and X.L.Shi, Inequalities of Littlewood-Paley type for frames and wavelets, SIAM J. Math. Anal., 24(1993), 263-277. MR 94d:42039
-
(1993)
SIAM J. Math. Anal.
, vol.24
, pp. 263-277
-
-
Chui, C.K.1
Shi, X.L.2
-
11
-
-
0025482241
-
The wavelet transform, time-frequency localization and signal analysis
-
MR 91e:42038
-
I.Daubechies, The wavelet transform, time-frequency localization and signal analysis, IEEE Trans. Inform. Theory, 36(1990), 961-1005. MR 91e:42038
-
(1990)
IEEE Trans. Inform. Theory
, vol.36
, pp. 961-1005
-
-
Daubechies, I.1
-
13
-
-
84990557172
-
Frames of entire functions in the Bargmann space
-
MR 89e:46028
-
I.Daubechies and A.Grossmann, Frames of entire functions in the Bargmann space, Comm. Pure Appl. Math., 41(1988), 151-164. MR 89e:46028
-
(1988)
Comm. Pure Appl. Math.
, vol.41
, pp. 151-164
-
-
Daubechies, I.1
Grossmann, A.2
-
14
-
-
84951609541
-
Gabor time-frequency lattices and the Wexler-Raz identity
-
MR 961:42021
-
I.Daubechies, H.Landau and Z.Landau, Gabor time-frequency lattices and the Wexler-Raz identity, J. Fourier Anal. Appl., 4(1995), 437-478. MR 961:42021
-
(1995)
J. Fourier Anal. Appl.
, vol.4
, pp. 437-478
-
-
Daubechies, I.1
Landau, H.2
Landau, Z.3
-
15
-
-
0029292659
-
On the stability of frames and Riesz bases
-
MR 96e:42030
-
S.Favier and R.Zalik, On the stability of frames and Riesz bases, Appl. and Comp. Harm. Anal., 2(1995), 160-173. MR 96e:42030
-
(1995)
Appl. and Comp. Harm. Anal.
, vol.2
, pp. 160-173
-
-
Favier, S.1
Zalik, R.2
-
16
-
-
0001242228
-
Banach spaces related to integrable group representations and their atomic decomposition
-
MR 91g:43011
-
H.G.Feichtinger and K.Gröchenig, Banach spaces related to integrable group representations and their atomic decomposition, J. funct. Anal., 86(1989), 307-340. MR 91g:43011
-
(1989)
J. Funct. Anal.
, vol.86
, pp. 307-340
-
-
Feichtinger, H.G.1
Gröchenig, K.2
-
17
-
-
0007420564
-
Validity of W H-frame bound conditions depends on lattice parameters
-
MR 2000j:42044
-
H.G.Feichtinger and A.J.E.M.Janssen, Validity of W H-frame bound conditions depends on lattice parameters, Appl. Comput. Harmon. Anal., 8(2000), 104-112. MR 2000j:42044
-
(2000)
Appl. Comput. Harmon. Anal.
, vol.8
, pp. 104-112
-
-
Feichtinger, H.G.1
Janssen, A.J.E.M.2
-
20
-
-
30844456696
-
Describing functions: Atomic decompositions versus frames
-
MR 92m:42035
-
K. Gröchenig, Describing functions: atomic decompositions versus frames, Mh. Math., 112(1991), 1-41. MR 92m:42035
-
(1991)
Mh. Math.
, vol.112
, pp. 1-41
-
-
Gröchenig, K.1
-
21
-
-
21344498614
-
Irregular sampling of wavelet and short-time Fourier transforms
-
MR 94m:42077
-
K. Gröchenig, Irregular sampling of wavelet and short-time Fourier transforms, Constr. Approx., 9(1993), 283-297. MR 94m:42077
-
(1993)
Constr. Approx.
, vol.9
, pp. 283-297
-
-
Gröchenig, K.1
-
22
-
-
0003543733
-
-
Cambridge: Cambridge Univ. Press. MR 13:727e
-
G.Hardy, J.E.Littlewood, and G.Pólya, Inequalities, 2nd Ed.,Cambridge: Cambridge Univ. Press, 1952. MR 13:727e
-
(1952)
Inequalities, 2nd Ed.
-
-
Hardy, G.1
Littlewood, J.E.2
Pólya, G.3
-
23
-
-
0024903928
-
Continuous and discrete wavelet transforms
-
MR 91c:42032
-
C.Heil and D.Walnut, Continuous and discrete wavelet transforms, SIAM Review, 31(1989), 628-666. MR 91c:42032
-
(1989)
SIAM Review
, vol.31
, pp. 628-666
-
-
Heil, C.1
Walnut, D.2
-
24
-
-
0037838467
-
Frames in the Bargmann space of entire functions
-
Entire and subharmonic functions, B.Ya. Levin, ed., Springer-verlag, Berlin. MR 93k:30036
-
Y.Lyubarskii, Frames in the Bargmann space of entire functions, in Entire and subharmonic functions, vol 11 of the series Advanced in Soviet Mathematics, B.Ya. Levin, ed., Springer-verlag, Berlin, 1992. MR 93k:30036
-
(1992)
Series Advanced in Soviet Mathematics
, vol.11
-
-
Lyubarskii, Y.1
-
25
-
-
1542451924
-
On the completeness of a system of coherent states
-
MR 57:15050
-
A.M.Perelomov, On the completeness of a system of coherent states, Teor. Mat. Fiz., 6(1971), 213-224. MR 57:15050
-
(1971)
Teor. Mat. Fiz.
, vol.6
, pp. 213-224
-
-
Perelomov, A.M.1
-
26
-
-
0029289970
-
Incompleteness of sparse coherent states
-
MR 96b:81049
-
J.Ramanathan and T.Steger, Incompleteness of sparse coherent states, Appl. Comput. Harmon. Anal., 2(1995), 148-153. MR 96b:81049
-
(1995)
Appl. Comput. Harmon. Anal.
, vol.2
, pp. 148-153
-
-
Ramanathan, J.1
Steger, T.2
-
28
-
-
0001994272
-
Density theorems for sampling and interpolation in the Bargmann-Fock space II
-
MR 93g:46026b
-
K.Seip and R.Wallstén, Density theorems for sampling and interpolation in the Bargmann-Fock space II, J. Reine Angew. Math., 429(1992), 107-113. MR 93g:46026b
-
(1992)
J. Reine Angew. Math.
, vol.429
, pp. 107-113
-
-
Seip, K.1
Wallstén, R.2
-
29
-
-
0037690408
-
On the stability of Gabor frames
-
MR 2002c:42043
-
W.Sun and X.Zhou, On the stability of Gabor frames, Advances in Applied Mathematics, 26(2001), 181-191. MR 2002c:42043
-
(2001)
Advances in Applied Mathematics
, vol.26
, pp. 181-191
-
-
Sun, W.1
Zhou, X.2
|