Frame functions and completeness of inner product spaces

A. Dvurečenskij

Annales de l'I.H.P. Physique théorique (1995)

  • Volume: 62, Issue: 4, page 429-438
  • ISSN: 0246-0211

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Dvurečenskij, A.. "Frame functions and completeness of inner product spaces." Annales de l'I.H.P. Physique théorique 62.4 (1995): 429-438. <http://eudml.org/doc/76683>.

@article{Dvurečenskij1995,
author = {Dvurečenskij, A.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {inner product space; Hilbert space; orthonormal basis; wavelets; frame condition; Fourier coefficients; weak frame function},
language = {eng},
number = {4},
pages = {429-438},
publisher = {Gauthier-Villars},
title = {Frame functions and completeness of inner product spaces},
url = {http://eudml.org/doc/76683},
volume = {62},
year = {1995},
}

TY - JOUR
AU - Dvurečenskij, A.
TI - Frame functions and completeness of inner product spaces
JO - Annales de l'I.H.P. Physique théorique
PY - 1995
PB - Gauthier-Villars
VL - 62
IS - 4
SP - 429
EP - 438
LA - eng
KW - inner product space; Hilbert space; orthonormal basis; wavelets; frame condition; Fourier coefficients; weak frame function
UR - http://eudml.org/doc/76683
ER -

References

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  1. [1] I. Daubechies, Ten Lectures on Wavelets, SIAM. Capital City Press, Montpelitv Vermont, 1992. MR1162107
  2. [2] S. Dorofeev and A. Sherstnev, Frame-type functions and their applications, Izv. vuzov matem., No. 4, 1990, pp. 23-29 (in Russian). MR1075099
  3. [3] A. Dvurenčenskij, Frame functions, signed measures and completeness of inner product spaces, Acta. Univ. Carol. Math. Phys., Vol. 30, 1989, pp. 41-49. Zbl0715.46031MR1046444
  4. [4] A. Dvurenčenskij, Gleason's Theorem and its Applications, Kluwer Academic Publ., Dordrecht, Boston, London, Ister Science Press, Bratislava, 1993. 
  5. [5] A. Dvurenčenskij and S. Pulmannová, Test spaces, Dacey spaces, and completeness of inner product spaces, Letters Math. Phys., 1994, (to appear). Zbl0821.46025MR1310294
  6. [6] S.P. Gudder, Inner product spaces, Amer. Math. Monthly, Vol. 81, 1974, pp. 29-36. Zbl0279.46013MR331027
  7. [7] S.P. Gudder, Correction to Inner product space, Amer. Math. Monthly, Vol. 82, 1975, pp. 251-252. Zbl0305.46033MR420234
  8. [8] S.P. Gudder and S. Holland, Second correction to Inner product spaces, Amer. Math. Monthly, Vol. 82, 1975, pp. 818-818. Zbl0329.46017MR380374
  9. [9] F.E. Schroeck Jr., Informational complenetess and frames, Book of Abstracts, Symposium on the Foundations of Modem Physics, Cologne, June 1-5, 1993, Inst. Theor. Physics, Univ. of Cologne, Cologne, 1993, pp. 62-64. 

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