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Volumn 17, Issue 5, 2011, Pages 821-853

Finite Frame Varieties: Nonsingular Points, Tangent Spaces, and Explicit Local Parameterizations

Author keywords

Finite frames; FUNTF; Local parameterizations

Indexed keywords


EID: 80053447048     PISSN: 10695869     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00041-010-9164-z     Document Type: Article
Times cited : (28)

References (31)
  • 1
    • 0037212207 scopus 로고    scopus 로고
    • Finite normalized tight frames
    • Benedetto, J. J., Fickus, M.: Finite normalized tight frames. Adv. Comput. Math. 18(2-4), 357-385 (2003).
    • (2003) Adv. Comput. Math. , vol.18 , Issue.2-4 , pp. 357-385
    • Benedetto, J.J.1    Fickus, M.2
  • 2
    • 77954085122 scopus 로고    scopus 로고
    • Complex sigma-delta quantization algorithms for finite frames
    • Contemp. Math, Providence: Am. Math. Soc
    • Benedetto, J. J., Oktay, O., Tangboondouangjit, A.: Complex sigma-delta quantization algorithms for finite frames. In: Radon Transforms, Geometry, and Wavelets. Contemp. Math., vol. 464, pp. 27-49. Am. Math. Soc., Providence (2008).
    • (2008) Radon Transforms, Geometry, and Wavelets , vol.464 , pp. 27-49
    • Benedetto, J.J.1    Oktay, O.2    Tangboondouangjit, A.3
  • 3
    • 32044458439 scopus 로고    scopus 로고
    • Second-order sigma-delta (σΔ) quantization of finite frame expansions
    • Benedetto, J. J., Powell, A. M., Yi{dotless}lmaz, O.: Second-order sigma-delta (ΣΔ) quantization of finite frame expansions. Appl. Comput. Harmon. Anal. 20(1), 126-148 (2006).
    • (2006) Appl. Comput. Harmon. Anal. , vol.20 , Issue.1 , pp. 126-148
    • Benedetto, J.J.1    Powell, A.M.2    Yilmaz, O.3
  • 4
    • 33646028180 scopus 로고    scopus 로고
    • Sigma-Delta (σΔ) quantization and finite frames
    • Benedetto, J. J., Powell, A. M., Yi{dotless}lmaz, O.: Sigma-Delta (ΣΔ) quantization and finite frames. IEEE Trans. Inf. Theory 52(5), 1990-2005 (2006).
    • (2006) IEEE Trans. Inf. Theory , vol.52 , Issue.5 , pp. 1990-2005
    • Benedetto, J.J.1    Powell, A.M.2    Yilmaz, O.3
  • 5
    • 54149105724 scopus 로고    scopus 로고
    • Equiangular tight frames from complex Seidel matrices containing cube roots of unity
    • Bodmann, B. G., Paulsen, V. I., Tomforde, M.: Equiangular tight frames from complex Seidel matrices containing cube roots of unity. Linear Algebra Appl. 430(1), 396-417 (2009).
    • (2009) Linear Algebra Appl. , vol.430 , Issue.1 , pp. 396-417
    • Bodmann, B.G.1    Paulsen, V.I.2    Tomforde, M.3
  • 6
    • 0004252784 scopus 로고    scopus 로고
    • Graduate Texts in MathematicsCorrected third printing of the 1993 original, New York: Springer
    • Bredon, G. E.: Topology and Geometry. Graduate Texts in Mathematics, vol. 139. Springer, New York (1997). Corrected third printing of the 1993 original.
    • (1997) Topology and Geometry , vol.139
    • Bredon, G.E.1
  • 7
    • 77249148281 scopus 로고    scopus 로고
    • Gradient descent of the frame potential
    • Casazza, P. G., Fickus, M.: Gradient descent of the frame potential. Proc. Sampl. Theory Appl. 21, 83-112 (2009).
    • (2009) Proc. Sampl. Theory Appl. , vol.21 , pp. 83-112
    • Casazza, P.G.1    Fickus, M.2
  • 8
    • 0346494937 scopus 로고    scopus 로고
    • Equal-norm tight frames with erasures
    • Casazza, P. G., Kovacevic, J.: Equal-norm tight frames with erasures. Adv. Comput. Math. 18(2-4), 387-430 (2003).
    • (2003) Adv. Comput. Math. , vol.18 , Issue.2-4 , pp. 387-430
    • Casazza, P.G.1    Kovacevic, J.2
  • 10
    • 78649784992 scopus 로고    scopus 로고
    • Existence and construction of finite frames with a given frame operator
    • Casazza, P. G., Leon, M. T.: Existence and construction of finite frames with a given frame operator. Int. J. Pure Appl. Math. (2010).
    • (2010) Int. J. Pure Appl. Math
    • Casazza, P.G.1    Leon, M.T.2
  • 11
    • 36549090598 scopus 로고
    • Painless nonorthogonal expansions
    • Daubechies, I., Grossmann, A., Meyer, Y.: Painless nonorthogonal expansions. J. Math. Phys. 27(5), 1271-1283 (1986).
    • (1986) J. Math. Phys. , vol.27 , Issue.5 , pp. 1271-1283
    • Daubechies, I.1    Grossmann, A.2    Meyer, Y.3
  • 12
    • 33144482555 scopus 로고    scopus 로고
    • Generalized finite algorithms for constructing Hermitian matrices with prescribed diagonal and spectrum
    • (electronic)
    • Dhillon, I. S., Heath, Jr. R. W., Sustik, M. A., Tropp, J. A.: Generalized finite algorithms for constructing Hermitian matrices with prescribed diagonal and spectrum. SIAM J. Matrix Anal. Appl. 27(1), 61-71 (2005). (electronic).
    • (2005) SIAM J. Matrix Anal. Appl. , vol.27 , Issue.1 , pp. 61-71
    • Dhillon, I.S.1    Heath Jr., R.W.2    Sustik, M.A.3    Tropp, J.A.4
  • 13
  • 14
  • 15
    • 79952406913 scopus 로고    scopus 로고
    • Manifold structure of spaces of spherical tight frames
    • Dykema, K., Strawn, N.: Manifold structure of spaces of spherical tight frames. Int. J. Pure Appl. Math. 28(2), 217-256 (2006).
    • (2006) Int. J. Pure Appl. Math. , vol.28 , Issue.2 , pp. 217-256
    • Dykema, K.1    Strawn, N.2
  • 17
    • 30844458683 scopus 로고    scopus 로고
    • Frames, bases and, group representations
    • Han, D., Larson, D. R.: Frames, bases and, group representations. Mem. Am. Math. Soc. 147(697), x+94 (2000).
    • (2000) Mem. Am. Math. Soc. , vol.147 , Issue.697
    • Han, D.1    Larson, D.R.2
  • 19
    • 68749108482 scopus 로고    scopus 로고
    • Rank-one decomposition of operators and construction of frames
    • Contemp. Math, Providence: Am. Math. Soc
    • Kornelson, K. A., Larson, D. R.: Rank-one decomposition of operators and construction of frames. In: Wavelets, Frames and Operator Theory. Contemp. Math., vol. 345, pp. 203-214. Am. Math. Soc., Providence (2004).
    • (2004) Wavelets, Frames and Operator Theory , vol.345 , pp. 203-214
    • Kornelson, K.A.1    Larson, D.R.2
  • 22
    • 77951767487 scopus 로고    scopus 로고
    • Minimization of convex functionals over frame operators
    • Massey, P., Ruiz, M.: Minimization of convex functionals over frame operators. Adv. Comput. Math. 32(2), 131-153 (2010).
    • (2010) Adv. Comput. Math. , vol.32 , Issue.2 , pp. 131-153
    • Massey, P.1    Ruiz, M.2
  • 24
    • 26944488694 scopus 로고    scopus 로고
    • Real, tight frames with maximal robustness to erasures
    • Los Alamitos: IEEE Computer Society
    • Püschel, M., Kovacevic, J.: Real, tight frames with maximal robustness to erasures. In: DCC, pp. 63-72. IEEE Computer Society, Los Alamitos (2005).
    • (2005) Dcc , pp. 63-72
    • Püschel, M.1    Kovacevic, J.2
  • 26
    • 42749084958 scopus 로고    scopus 로고
    • A note on equiangular tight frames
    • Strohmer, T.: A note on equiangular tight frames. Linear Algebra Appl. 429(1), 326-330 (2008).
    • (2008) Linear Algebra Appl. , vol.429 , Issue.1 , pp. 326-330
    • Strohmer, T.1
  • 27
    • 0242323185 scopus 로고    scopus 로고
    • Grassmannian frames with applications to coding and communication
    • Strohmer, T., Heath, R. W. Jr.: Grassmannian frames with applications to coding and communication. Appl. Comput. Harmon. Anal. 14(3), 257-275 (2003).
    • (2003) Appl. Comput. Harmon. Anal. , vol.14 , Issue.3 , pp. 257-275
    • Strohmer, T.1    Heath Jr., R.W.2
  • 29
    • 12444320397 scopus 로고    scopus 로고
    • Designing structured tight frames via an alternating projection method
    • Tropp, J. A., Dhillon, I. S., Heath, R. W. Jr., Strohmer, T.: Designing structured tight frames via an alternating projection method. IEEE Trans. Inf. Theory 51(1), 188-209 (2005).
    • (2005) IEEE Trans. Inf. Theory , vol.51 , Issue.1 , pp. 188-209
    • Tropp, J.A.1    Dhillon, I.S.2    Heath Jr., R.W.3    Strohmer, T.4
  • 30
    • 0042280552 scopus 로고    scopus 로고
    • Generalized Welch bound equality sequences are tight frames
    • Waldron, S.: Generalized Welch bound equality sequences are tight frames. IEEE Trans. Inf. Theory 49(9), 2307-2309 (2003).
    • (2003) IEEE Trans. Inf. Theory , vol.49 , Issue.9 , pp. 2307-2309
    • Waldron, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.