Ingrid Daubechies' Publication List
(in alphabetical order)

5.

A characterization of subsystems in physics, Lett. Math. Phys., 3, pp. 11--17, 1979. (D. Aerts and I. Daubechies)
 

4.

A connection between propositional systems in Hilbert spaces and von Neumann algebras, Helv. Phys. Acta, 52, pp. 184--199, 1979. (D. Aerts and I. Daubechies)
 

64.

A decay theorem for refinable functions, Appl. Math. Lett., 7 (4), pp. 1--4, 1994. (I. Daubechies and Y. Huang)
 

6.

A mathematical condition for a sublattice of a propositional system to represent a physical subsystem, with a physical interpretation, Lett. Math. Phys., 3, pp. 19--27, 1979. (D. Aerts and I. Daubechies)
 

65.

A new technique to estimate the regularity of refinable functions, Rev. Mat. Iberoamericana, 12, pp. 527--591, 1996. (A. Cohen and I. Daubechies)
 

69.

A Nonlinear Squeezing of the Continuous Wavelet Transform Based on Auditory Nerve Models, in Wavelets in Medicine and Biology, pp. 527--546, eds. A. Aldroubi and M. Unser, CRC Press, 1996. (I. Daubechies and S. Maes)
 

17.

A simple proof that the logical structure preserving map between quantum mechanical proposition systems conserves the angles, Helv. Phys. Acta, 56, pp. 1187--1190, 1983. (D. Aerts and I. Daubechies)
 

43.

A simple Wilson orthonormal basis with exponential decay, SIAM J. Math. Anal., 22, pp. 554--572, 1991. (I. Daubechies, S. Jaffard, and J.L. Journé)
 

49.

A stability criterion for biorthogonal wavelet bases and their related subband coding scheme, Duke Math. J., 68, pp. 313--335, 1992. (A. Cohen and I. Daubechies)
 

2.

About the structure-preserving maps of a quantum mechanical propositional system, Helv. Phys. Acta, 51, pp. 637--660, 1978. (D. Aerts and I. Daubechies)
 

98.

Adaptive Gabor Transforms, Appl. Comp. Harm. Anal., 13 (1), pp. 1-21, 2002. (I. Daubechies and F. Planchon)
 

1.

An application of hyperdifferential operators to holomorphic quantization, Lett. Math. Phys., 2, pp. 459--469, 1978. (I. Daubechies)
 

13.

An integral transform related to quantization II: Some mathematical properties, J. Math. Phys., 24 (2), pp. 239--243, 1983. (I. Daubechies, A. Grossmann, and J. Reignier)
 

8.

An integral transform related to quantization, J. Math. Phys., 21 (8), pp. 2080--2090, 1980. (I. Daubechies and A. Grossmann)
 

101.

An iterative thresholding algorithm for linear inverse problems with a sparsity constraint, submitted for publication. (I. Daubechies, M. Defrise and C. De Mol)
 

20.

An uncertainty principle for fermions with generalized kinetic energy operator, Comm. Math. Phys., 90, pp. 511--520, 1983. (I. Daubechies)
 

91.

Approximating a bandlimited function using very coarsely quantized data: A family of stable sigma-delta modulators of arbitrary order, Annals of Math., 158 (2), pp.679-710, 2003. (I. Daubechies and R. DeVore)
 

99.

Beta Expansions: A New Approach to Digitally Correct A/D Conversion, Proceedings of the IEEE International Symposium on Circuits and Systems ISCAS 2002, Phoenix , May 2002. (I. Daubechies, R. DeVore, C.S. Güntürk and V.A. Vaishampayan)
 

68.

"Better dual functions for Gabor time-frequency lattices," in the Proceedings of the International Conference Approximation Theory VIII, Volume 2: Wavelets and Multilevel Approximation, pp. 113--116, eds. C. Chui and L. Schumaker, World Scientific Publishing Co., 1995. (I. Daubechies)
 

47.

Biorthogonal bases of compactly supported wavelets, Comm. Pure & Appl. Math., 45, pp. 485--560, 1992. (A. Cohen, I. Daubechies, and J.C. Feauveau)
 

7.

Coherent states and projective representation of the linear canonical transformations, J. Math. Phys., 21 (6), pp. 1377--1389, 1980. (I. Daubechies)
 

90.

Commutation for Irregular Subdivision, Const. Approx., 17 (4), pp. 479 - 514, 2001. (I. Daubechies, I. Guskov and W. Sweldens)
 

14.

Constructing measures for path integrals, J. Math. Phys., 23 (10), pp. 1806--1822, 1982. (I. Daubechies and J.R. Klauder)
 

16.

Continuity statements and counterintuitive examples in connection with Weyl quantization, J. Math. Phys., 24 (6), pp. 1453--1461, 1983. (I. Daubechies)
 

85.

Data compression and harmonic analysis, IEEE Trans. Inf. Theory, 44 (6), pp. 2435-2476, 1998. (D.L. Donoho, M. Vetterli, R.A. DeVore, I. Daubechies)
 

78.

Differential reassignment, IEEE Sig. Proc. Lett., 4 (10), pp. 293-294, 1997. (F. Auger, E. Chassande-Mottin, I. Daubechies and P. Flandrin)
 

30.

"Discrete sets of coherent states and their use in signal analysis," pp. 73--82 in Proceedings of the 1986 International Conference on Differential Equations and Mathematical Physics, Birmingham, Alabama, eds. I.W. Knowles and Y. Saito, Springer, 1987. (I. Daubechies)
 

100.

Exponential Precision in A/D Conversion with an Imperfect Quantizer, submitted to IEEE Trans. in Inf. Theory (original submission August 2001, revised version after review October 2003). (I. Daubechies, R. DeVore, C.S. Güntürk and V.A. Vaishampayan)
 

77.

Factoring wavelet transforms into lifting steps, J. Fourier Anal. Appl., 4 (3), pp. 247-269, 1998. (I. Daubechies and W. Sweldens)
 

95.

Framelets: MRA-Based constructions of Wavelet Frames, Appl. Comp. Harm. Anal., 14 (1), pp. 1-46, 2003. (I. Daubechies, B. Han, A. Ron and Z. Shen)
 

28.

Frames in the Bargmann space of entire functions, Comm. Pure & Appl. Math., 41, pp. 151--164, 1988. (I. Daubechies and A. Grossmann)
 

67.

Gabor time-frequency lattices and the Wexler-Raz identity, J. Fourier Anal. App., 1, pp. 437--478, 1995. (I. Daubechies, H. Landau, and Z. Landau)
 

94.

Harmonic analysis of the space BV, Rev. Mat. Iberoamericana, 19, pp. 235-262, 2003. (A. Cohen, W. Dahmen, I. Daubechies and R. DeVore)
 

73.

"Harmonic analysis, wavelets, and applications," lecture series presented at the Institute for Advanced Study's Park City Mathematics Institute July 1995, to appear in the Graduate Summer School Lectures, American Mathematical Society, July 1998. (I. Daubechies and A. Gilbert)
 

61.

How does truncation of the mask affect a refinable function?, Const. Approx., 11, pp. 365--380, 1995. (I. Daubechies and Y. Huang)
 

72.

How smooth is the smoothest function in a given refinable space?, Appl. Comp. Harm. Anal., 3 (3), pp. 87--89, 1996. (A. Cohen, I. Daubechies, and A. Ron)
 

46.

Image coding using wavelet transform, IEEE Trans. Image Proc., 1 (2), pp. 205--220, 1992. M. Antonini, M. Barlaud, P. Mathieu, and I. Daubechies)
 

82.

"Lossless image compression using integer to integer wavelet transforms," in the Proceedings of the International Conference on Image Processing, Vol. I, pp. 596-599, 1997. (A.R. Calderbank, I. Daubechies, W. Sweldens and B.-L. Yeo)
 

18.

Measures for more quadratic path integrals, Lett. Math. Phys., 7, pp. 229--234, 1983. (I. Daubechies and J.R. Klauder)
 

12.

Measures for path integrals, Phys. Rev. Lett., 48, pp. 117--120, 1982. (J.R. Klauder and I. Daubechies)
 

53.

Multiresolution analysis, wavelets and fast algorithms on an interval, Comptes Rendus Acad. Sci. Paris, 316 (série 1), pp. 417--421, 1993. (A. Cohen, I. Daubechies, B. Jawerth, and P. Vial)
 

48.

Non separable bidimensional wavelet bases, Rev. Mat. Iberoamericana, 9, pp. 51--137, 1993. (A. Cohen and I. Daubechies)
 

96.

Normal Multiresolution Approximation of Curves, to appear in Const. Approx. (I. Daubechies, O. Runborg and W. Sweldens)
 

75.

On the approximation power of convolution-based least squares versus interpolation, IEEE Trans. Sig. Proc., 45 (7), pp. 1697--1711, July 1997. (M. Unser and I. Daubechies)
 

9.

On the distributions corresponding to bounded operators in the Weyl quantization, Comm. Math. Phys., 75, pp. 229--238, 1980. (I. Daubechies)
 

81.

On the importance of combining non-linear approximation with coding strategies, IEEE Trans. Inf. Theory, 48 (7), pp. 1895--1921, 2002. (A. Cohen, I. Daubechies, O. Guleryuz and M. Orchard)
 

50.

On the instability of arbitrary biorthogonal wavelet packets, SIAM J. Math. Anal., 24, pp. 1340--1354, 1993. (A. Cohen and I. Daubechies)
 

60.

On the thermodynamic formalism for multifractal functions, pp. 213--264 in The State of Matter, eds. M. Aizenman and H. Araki, dedicated to E.H. Lieb, World Scientific, 1994; also published in Rev. of Math. Phys. 6 (5a), pp. 1033--1070, 1994. (I. Daubechies and J.C. Lagarias)
 

63.

"Ondelettes," book review in Nature 262 (1993) pp. 1589--1591 of the books Wavelets and Operators and Wavelets: algorithms and applications, both authored by Y. Meyer. (I. Daubechies)
 

23.

One electron molecules with relativistic kinetic energy: Properties of the discrete spectrum, Comm. Math. Phys., 94, pp. 523--535, 1984. (I. Daubechies)
 

19.

One electron relativistic molecules with Coulomb interaction, Comm. Math. Phys., 90, pp. 497--510, 1983. (I. Daubechies and E. Lieb)
 

97.

Optimal Stochastic Encoding and Approximation Schemes Using Weyl-Heisenberg Sets, Advances in Gabor Analysis, H.G. Feichtinger and T. Strohmer editors, Birkhaeuser, Boston, pp. 259 - 320, 2003. (R.V. Balan and I. Daubechies)
 

62.

"Orthonormal bases of coherent states: the canonical case and the ax+b-group," in the Proceedings of the International Symposium Coherent States: Past, Present, and Future, pp. 103--117, eds. D.H. Feng, J.R. Klauder, and M.R. Strayer, World Scientific Publishing Co., 1994. (I. Daubechies)
 

35.

Orthonormal bases of compactly supported wavelets, Comm. Pure & Appl. Math., 41, pp. 909--996, 1988. (I. Daubechies)
 

44.

Orthonormal bases of compactly supported wavelets, II. Variations on a theme, SIAM J. Math. Anal., 24, pp. 499--519, 1993. (I. Daubechies)
 

45.

Orthonormal bases of compactly supported wavelets, III. Better frequency localization, SIAM J. Math. Anal., 24, pp. 520--527, 1993. (A. Cohen and I. Daubechies)
 

36.

"Orthonormal bases of wavelets with finite support -- connection with discrete filters," Proceedings of the 1987 International Workshop on Wavelets and Applications, Marseille, France, eds. J.M. Combes, A. Grossmann, and Ph. Tchamitchian, Springer, Berlin, 1989. (I. Daubechies)
 

26.

Painless nonorthogonal expansions, J. Math. Phys., 27 (5), pp. 1271--1283, 1986. (I. Daubechies, A. Grossmann, and Y. Meyer)
 

92.

Pairs of Dual Wavelet Frames From Any Two Refinable Functions, to appear in Const. Approx. (I. Daubechies and B. Han)
 

79.

"Partition du Plan Temps-Fréquence et réallocation" in the Proceedings of the Seizième Colloque Gretsi sur le Traitement du Signal et des Images, pp. 1447-1450, Grenoble ( France ), September 1997. (F. Auger, E. Chassande-Mottin, I. Daubechies and P. Flandrin)
 

40.

"Phase space path integrals, coherent states and Wiener measure," Proceedings of the 1987--1988 Workshop on Path Integrals, Columbia University (Montreal) and Sherbrooke University, Canada, Suppl. Rendiconti Cinc. Mat. di Palermo II 25, pp. 157--176, 1991. (I. Daubechies)
 

3.

Physical justification for using the tensor product to describe two quantum systems as one joint system, Helv. Phys. Acta, 51, pp. 661--675, 1978. (D. Aerts and I. Daubechies)
 

22.

Quantum mechanical path integrals with Wiener measures for all polynomial Hamiltonians, Phys. Rev. Lett., 52, pp. 1161--1164, 1984. (J.R. Klauder and I. Daubechies)
 

25.

Quantum-mechanical path integrals with Wiener measure for all polynomial Hamiltonians. II, J. Math. Phys., 26 (9), pp. 2239--2256, 1985. (I. Daubechies and J.R. Klauder)
 

83.

Recent results in wavelet applications, J. Electronic Imaging, 7 (4), pp. 719-724, 1998. (I. Daubechies)
 

80.

Regularity of irregular subdivision, Const. Approx., 15 (3), pp. 381-426, 1999. (I. Daubechies, I. Guskov, and W. Sweldens)
 

70.

Regularity of refinable function vectors, J. Fourier Anal. Appl., 3, pp. 295--324, 1997. (A. Cohen, I. Daubechies, and G. Plonka)
 

21.

"Relativistic molecules with Coulomb interaction," pp. 143--148 in Proceedings of the 1983 UAB Conference on Differential Equations, eds. I. Knowles and R. Lewis, North-Holland, 1984. (I. Daubechies and E. Lieb)
 

10.

"Representation of quantum mechanical operators by kernels on Hilbert spaces of analytic functions," Ph.D. Thesis, Free University Brussels (VUB), 1980. (I. Daubechies)
 

41.

Sets of matrices all infinite products of which converge, Lin. Alg. & Appl., 161, pp. 227--263, 1992. (I. Daubechies and J.C. Lagarias)
 

88.

Single-Bit Oversampled A/D Conversion with Exponential Accuracy in the Bit-Rate, Conference Proceedings of DCC 2000. (Z. Cvetkovic and I. Daubechies)
 

51.

"Squeezed states and path integrals," in Proceedings of the 1991 Conference on Squeezed States, Atlanta , Georgia . (I. Daubechies and J.R. Klauder)
 

52.

"Ten Lectures on Wavelets," CBMS-NSF Lecture Notes nr. 61, SIAM , 1992. (I. Daubechies)
 

87.

The Analysis and Design of Windowed Fourier Frame based Multiple Description Source Coding Schemes, IEEE Trans. Inf. Theory, 46 (7), pp. 2491-2536, 2000. (R.V. Balan, I. Daubechies, and V. Vaishampayan)
 

93.

The Canonical Dual Frame of a Wavelet Frame, Appl. Comp. Harm. Anal., 12 (3), pp. 269-285, 2002. (I. Daubechies and B. Han)
 

89.

The Pros and Cons of Democracy, IEEE Trans. Inf. Theory, 48 (6), pp.1721-1725, 2002. (A.R. Calderbank and I. Daubechies)
 

42.

"The wavelet transform: a method for time-frequency localization," chapter 8 (pp. 366--417) in the book Advances in Spectrum Analysis and Array Processing, Vol. 1, ed. S. Haykin, Prentice-Hall, 1991. (I. Daubechies)
 

33.

The wavelet transform, time-frequency localization and signal analysis, IEEE Trans. Inf. Theory, 36 (5), pp. 961--1005, 1990. (I. Daubechies)
 

31.

Time-frequency localization operators: a geometric phase space approach, IEEE Trans. Inf. Theory, 34 (4), pp. 605--612, 1988. (I. Daubechies)
 

34.

Time-frequency localization operators-a geometric phase space approach II. The use of dilations, Inverse Problems, 4 (3), pp. 661--680, 1988. (I. Daubechies and T. Paul)
 

84.

Tree approximation and optimal encoding, Appl. Comp. Harm. Anal., 11 (2), pp. 192-226, 2001. (A. Cohen, W. Dahmen, I. Daubechies, and R. DeVore)
 

27.

"True measures for real time path integrals," pp. 425--432 in Path Integrals from meV to MeV, eds. S. Albeverio, C. Inomata, J.R. Klauder, and L. Streit, World Scientific, 1986. (I. Daubechies and J.R. Klauder)
 

58.

"Two recent results on wavelets: wavelet bases for the interval, and biorthogonal wavelets diagonalizing the derivative operator," pp. 237--257 in Topics in Theory and Applications of Wavelets, eds. L. Schumaker and G. Webb, Academic Press, 1993. (I. Daubechies)
 

37.

Two theorems on lattice expansions, IEEE Trans. Inf. Theory, 39 (1), pp. 3--6, 1993. (I. Daubechies and A.J.E.M. Janssen)
 

38.

Two-scale difference equations. I. Existence and global regularity of solutions, SIAM J. Math. Anal., 22, pp. 1388--1410, 1991. (I. Daubechies and J.C. Lagarias)
 

39.

Two-scale difference equations. II. Local regularity, infinite products of matrices, and fractals, SIAM J. Math. Anal., 23, pp. 1031--1079, 1992. (I. Daubechies and J.C. Lagarias)
 

71.

"Using Fredholm determinants to estimate the smoothness of refinable functions," in the Proceedings of the International Conference Approximation Theory VIII, Volume 2: Wavelets and Multilevel Approximation, pp. 89--112, eds. C. Chui and L. Schumaker, World Scientific Publishing Co., 1995. (I. Daubechies)
 

57.

"Wavelet transforms and orthonormal wavelet bases," pp. 1--33 in "Different perspectives on wavelets" AMS Short Course Lecture Note Series nr. 47, ed. I. Daubechies, AMS, 1993. (I. Daubechies)
 

76.

Wavelet transforms that map integers to integers, Appl. Comp. Harm. Anal., 5 (3), pp. 332--369, 1998. (A.R. Calderbank, I. Daubechies, W. Sweldens, and B.-L. Yeo)
 

32.

"Wavelets -- some applications," pp. 675--686 in Proceedings of the International Conference on Mathematical Physics, eds. M. Mebkhout and R. Seneor, World Scientific, Marseille, France, 1987. (I. Daubechies and T. Paul)
 

66.

"Wavelets and other phase space localization methods," in the Proceedings. of the International Congress of Mathematicians, Zürich , Switzerland , 1994, Birkhäuser Verlag, Basel Switzerland , 1995. (I. Daubechies)
 

56.

"Wavelets and signal analysis," paper presented at the 1992 symposium on "Frontiers of Science" organized by the National Academy of Sciences. (I. Daubechies)
 

59.

"Wavelets making waves in Mathematics and Engineering," videotape of an MAA invited lecture at the January 1992 AMS-MAA meeting in Baltimore , available in the AMS-series "Selected Lectures in Mathematics". (I. Daubechies)
 

86.

Wavelets on Irregular Point Sets, Phil. Trans.: Math., Physical, Engrg. Sci., 357 (1760), pp. 2397-2413, 1999. Also as part of book entitled Wavelets: The Key to Intermittent Information, edited by B.W. Silverman and J.C. Vassilicos, September 2000. (I. Daubechies, I. Guskov, P. Schröder, and W. Sweldens)
 

55.

"Wavelets on the interval," pp. 95--107 in Progress in Wavelet Analysis and Applications, eds. Y. Meyer and S. Roques, Editions Frontières, France, 1993. (I. Daubechies)
 

54.

Wavelets on the interval and fast wavelet transforms, Appl. Comp. Harm. Anal., 1 (1), pp. 54--81, 1993. (A. Cohen, I. Daubechies, and P. Vial)
 

11.

"Weylkwantisatie bestudeerd langs de koherente toestanden om," Contest for Travelling Fellowships of the Belgian Government, 1980, (in Dutch). (I. Daubechies)
 

24.

"Weylkwantisatie bestudeerd via een integraaltransformatie met behulp van het koherentetoestanden-formalisme," Paper awarded the 1984 Louis Empain Prize ( Belgium ) for Physics, 1984, (in Dutch). (I. Daubechies)
 

74.

"Where do wavelets come from?---A personal point of view", in the Proceedings of the IEEE Special Issue on Wavelets 84 (4), pp. 510--513, April 1996. (I. Daubechies)
 

29.

Wiener measures for path integrals with affine kinematic variables, J. Math. Phys., 28 (1), pp. 85--102, 1987. (I. Daubechies, J.R. Klauder, and T. Paul)
 

15.

"Wiener measures for quantum mechanical path integrals," Lecture Notes in Physics 173, pp. 244--247, Springer-Verlag, 1982. (J.R. Klauder and I. Daubechies)