The Björn Jawerth Memorial Site

Publications

[1] On entire functions of exponential type, Technical Report, Lund 4 (1974), 1 – 9.

[2] On Besov spaces, Technical Report, Lund 1 ( 1977), 1 – 4.

[3] Weighted norm inequalities for functions of exponential type, Arkiv fÅNor Mat. 15 (1977), 223 – 228.

[4] Some observations on Besov and Lizorkin–Triebel spaces, Math. Scand. 40 (1977), 94 – 104.

[5] The trace of Sobolev and Besov spaces if 0 < p < 1, Studia Math. 62 (1978), 65 – 71.

[6] (with A. Torchinsky) On a Hardy-Littlewood imbedding theorem, Mich. Math. J. 31 (1984), 131 – 137.

[7] The K-functional for H1 and BMO, Proceedings A.M.S. 92 (1984), 67 – 71.

[8] (with A. Torchinsky) The strong maximal function with respect to measures, Studia Math. 80 (1985), 65 – 89.

[9] Weighted inequalities for maximal operators:linearization, localization and factorization, Amer. J. of Math. 108 (1986), 361 – 414.

[10] (with A. Torchinsky) Local sharp maximal functions, J. of Approx. Theory 43 (1985), 231 – 270.

[11] (with M. Frazier) Decompositions of Besov spaces, Indiana Univ. Math. J. 34 (1985), 777 – 799; also published in C. Heil and D. F. Walnut (Eds.), Fundamental Papers in Wavelet Theory, 2006, Princeton University Press, pp. 385-407.

[12] (with A. Torchinsky) A note on real interpolation of Hardy spaces in the polydisk, Proceedings A.M.S. 96 (1986), 227 – 232.

[13] (with R. Rochberg and G. Weiss) Commutator and other second order estimates in real interpolation theory, Arkiv fÅNor Mat. 24 (1986), 191 – 219.

[14] The K-functional for Hp and BMO in the polydisk, Proceedings A.M.S. 98 (1986), 232 – 238.

[15] (with M. Milman) Extrapolation theory with applications, Memoirs of A.M.S. 89 (1991).

[16] (with M. Frazier) The φ-transform and applications to distribution spaces, in Function spaces and applications, M. Cwikel et al. eds., Springer Lect. Notes in Math. 1302 (1988), 223-246.

[17] (with M. Frazier) A discrete transform and decompositions of distribution spaces, J. Func. An. 93 (1990), 34 – 170.

[18] (with M. Cwikel and M. Milman) On the fundamental lemma of interpolation theory, J. Approx. Th. 60 (1990), 70 – 82.

[19] (with M. Cwikel and M. Milman) The domain spaces of quasilogarithmic operators, Trans. of A.M.S. 317 (1990), 599 – 609. 8

[20] (with M. Feldman, R. Rochberg and G. Welland) New transform techniques for image analysis and synthesis, preprint.

[21] (with M. Cwikel, M. Milman, and R. Rochberg) Differential estimates and commutators in interpolation theory, “Proc. Conf. on Modern Analysis,” Urbana, Ill.138 (1989), 170 – 221.

[22] (with M. Frazier, Y–S Han, and G. Weiss) The T(1) theorem for Triebel-Lizorkin spaces, in “Proc. Conf. on Harmonic Analysis and PDE”, El Escorial, Spain 1987, Springer Lect. N. 1384 (1989), 168 – 181.

[23] (with M. Milman) Interpolation of weak type spaces, Math. Z. 201 1989, 509 – 519.

[24] (with M. Milman) A theory of extrapolation spaces. First applications, Comptes Rendus 308 (1989), 175 – 179.

[25] (with M. Milman) A theory of extrapolation spaces, further applications, Comptes Rendus 309 (1989), 225 – 229.

[26] (with C. Perez and G. Welland) The positive cone in ˙F αq p and relations among potential and maximal operators, Contemporary Mathematics 107 (1990), 71 – 91.

[27] (with Y.–S. Han, M. Taibleson, and G. Weiss) Littlewood–Paley theory and –families of operators, Colloqium Mathematicum (special volume dedicated to A. Zygmund) LX/LXI (1990), 321 – 359.

[28] (with M. Frazier and A. Kumar) A new transform for time–frequency analysis, IEEE Transactions on signal processing 40 (1992), 1697 – 1707

[29] (with R. DeVore and V. Popov) Compression of wavelet decompositions, Amer. J. Math 114 (1992), 737 – 785; also published in C. Heil and D. F. Walnut (Eds.), Fundamental Papers in Wavelet Theory, 2006, Princeton University Press, pp. 784 – 832.

[30] (with A. Deliu) Iterated function systems and functional equations, preprint.

[31] (with M. Frazier and G.Weiss) Littlewood-Paley theory and the study of function spaces, Monograph for A.M.S. regional conference series in mathematics (1991), 1-132.

[32] (with G. Welland and K. Yarnall) The Phi–transform and sampling, Technical Report 1992.

[33] (with M. Milman) Weighted norm inequalities and extrapolation, Technical Report 1992.

[34] (with R. DeVore and B. Lucier) Surface compression, Computer Aided Geometric Design 9 (1992), 219 – 239.

[35] (with R. DeVore and B. Lucier) Image compression through wavelet transform coding, IEEE Journal on Information Theory 38 (1992), 719 – 747.

[36] (with A. Deliu) Geometrical dimension versus smoothness, Constructive Approximation (1992), 211-222. 9

[37] (with C.-c. Hsiao, B. Lucier, and M. X. Yu) Near optimal compression of orthonormal wavelet expansions, in “Wavelets: Mathematics and Applications,” (Benedetto and Frazier eds.), 1994, 425 – 446.

[38] (with Y.–S. Han) Littlewood–Paley theory and spaces of homogenous type, preprint.

[39] (with V. Adolfsson, M. Goldberg, and H. Lennerstad) Localized Galerkin estimates for boundary integral equations on Lipschitz domains, SIAM J. Math. Anal. 23 (1992), 1356-1374.

[40] (with R. Andersson and B. Dahlberg) Algorithms for surface generation, preprint.

[41] (with M. Milman) Wavelets and best approximation in Besov spaces, Israel MCP 5 (1992), 107 – 112.

[42] (with M. Milman) New results and applications of extrapolation theory, Israel MCP 5 (1992), 81 – 105.

[43] (with M. Frazier) Applications of the ϕ–transform and wavelet transform to the study of function spaces, in “Wavelets and applications,” (Ruskai, Coifman, et al eds.)(1992), 377-417.

[44] (with T. Huntsberger and G. Peters) Wavelets on closed sets and parallel processing, Technical Report 1992.

[45] (with V. Adolfsson and R. Torres) Singular integral equations, spaces of homogeneous type and boundary elements in non–smooth domains, Rev. Union Mat. Arg.37 (1991), 163 – 183.

[46] (with V. Adolfsson and R. Torres), A boundary integral method for parabolic equations in nonsmooth domains, Comm. in Pure and Applied Math. XLVII (1994), 861-892.

[47] (with L. Andersson and M. Mitrea) The Cauchy singular integral operator and Clifford wavelets, in “Wavelets: Mathematics and Applications,” (Benedetto and Frazier eds.)(1994), 525 – 546.

[48] (with L. Andersson, N. Hall, and G. Peters) Wavelets on closed subsets of the real line, in ”Recent Advances in Wavelet Analysis”, (Larry L. Schumaker and Glenn Webb, eds.), (1994), 1 – 61.

[49] (with L. Andersson and B. Dahlberg) Wavelets on closed sets, Technical Report 1992.

[50] (with A. Cohen, I. Daubechies, and P. Vial) Wavelets on [0,1] and fast algorithms, Comptes Rendus 312 (1992),32-42.

[51] (with M. Hilton and Terry Huntsberger) Local enhancement of compressed images, J. Math. Imaging 3 (1993), 39 – 49.

[52] PDEs, wavelets, and CalderÅLon-Zygmund operators, submitted.

[53] (with W. Sweldens) An overview of the theory and applications of wavelets, in Proceedings of the Nato ARW “Shape in Picture”, (Ying-Lie O et. al eds.,), Nato ASI, 126, (1993), 249 – 274. 10

[54] (with M. Mitrea) Clifford wavelets, Hardy spaces, and elliptic boundary value problems, in ”Wavelets and Their Applications, Nato ASI, 442, 1994 (J. Byrnes et al eds.), pp. 261-290.

[55] (with W. Sweldens) An overview of wavelet based multiresolution analyses, SIAM Review, 36 (1994), pp. 377-412.

[56] (with W. Sweldens) Wavelet multiresolution analyses adapted for the fast solution of boundary value ordinary differential equations, Proceedings of the Sixth Copper Mountain Multigrid Conference, NASA Conf. Publication 3224, April 1993, 259-273.

[57] (with M. Mitrea) Wavelets and operators in the Clifford algebra framework, in Proc. of First IEEE Conf. Aerospace Control Systems (1993), 138 – 142.

[58] (with M. Hilton) Wavelet coding of images for transmission over noisy channels, preprint.

[59] (with T. Huntsberger) Wavelet based sensor fusion, Proceedings of the SPIE conference Sensor Fusion VI, September 1993 2059, 488-498.

[60] (with B. Deng, G. Peters, and W. Sweldens) Wavelet probing for compression based segmentation, Math. Imaging: Wavelet Applications, SPIE Proceedings (A. Laine ed.), San Diego, July 1993, 2034, 266 – 276.

[61] (with Y. Liu and W. Sweldens) Data compression with smooth Local Trigonometric Bases, Journal of Fourier Analysis and Applications, 2 (1995), 109-133.

[62] (with M. Mitrea) Acoustic Scattering, Galerkin Estimates, and Clifford Algebras, in “Clifford Algebras in Analysis and Related Topics” (J. Ryan ed.), Studies in Adv. Math. (1996), 199-216.

[63] (with M. Mitrea), Higher Dimensional Electromagnetic Scattering Theory on C1 and Lipschitz domains, Amer. J. of Math 117, (1995), 929-963.

[64] (with M. Hilton and A. Sengupta) Compressing Still and Moving Images with Wavelets, Multimedia Systems 2 (1994), pp 218-227.

[65] (with M. Hilton and A. Sengupta) A computationally fast wavelet based video coding scheme, SPIE Proceedings on Digital Video Compression and Processing on Personal Computers 2187, 1994, 152-157.

[66] (with M. Hilton) Error sensitivity of wavelet compressed IIR sensor images, Computing and Aerospace 9, American Inst. for Aeronautics and Astronomics, San Diego (1993), 1149-1153.

[67] (with B. Deng) Biorthogonal Wavelet Packets on Closed Intervals, preprint.

[68] (with S. Bain) What’s all the fuss about wavelets? in Proc. of BIS conf. “Image and Video Compression”, San Jose 1993.

[69] (with Y. Liu and W. Sweldens), New Folding Operators for Image Compression, in Wavelet Applications (H. H. Szu ed.) SPIE Proceedings 2224, 1994, 188 – 199.11

[70] (with Y. Liu and W. Sweldens) Signal compression with smooth local trigonometric bases, Optical Engineering 33 (1994), pp. 2125 – 2135.

[71] (with M. Mitrea), On the spectra of the higher dimensional Maxwell operators on nonsmooth domains, Contemporary Math. 189 (1995), pp. 309 – 325.

[72] (with S. Godavarthy and T. Huntsberger), Characterizing surfaces by surface curvature, USC IMI Research Report No. 06/1994.

[73] (with Y. Chang and T. Huntsberger), Wavelet analysis of fused epipolar images, SPIE Proceedings Sensor Fusion VII 2355, 1994, 157-163.

[74] (W. Sweldens),Weighted Multiwavelets on General Domains, to appear in the proceedings of the 14th Imacs World Congress, Atlanta 1994.

[75] (with M. Hilton), Wavelet denoising of signals, submitted.

[76] (with A. Deliu, M. Hilton, P. Panda andW. Sweldens), Multiplicative and Zero Crossing Representations of Signals, in Proceedings of the SPIE conference on Mathematical Imaging: Wavelet Applications in Signal and Image Processing II (A. F. Laine and M. Unser Eds.), 1994 2303, 400-410.

[77] (with A. Deliu, M. Hilton, P. Panda and W. Sweldens), Image analysis and Multiplicative and Zero Crossing Representations of Signals, to appear.

[78] Wavelets in Motion, Proc. of BIS conf. “Image and Video Compression”, Monteray 1994, 122-162.

[79] (with T. Huntsberger), Morphological image analysis with the wavelet representation, SPIE Proceedings on Wavelet Applications for Dual-Use 2491, 1995.

[80] (with G. Peters), Multiresolution analysis on nonsmooth sets, SPIE Proceedings on Wavelet Applications for Dual-Use 2491, 1995.

[81] (with E. Cornea and W. Zheng), Wavelets and Interactive Surface Modeling, in Approximation Theory VIII : Wavelets and Multilevel Approximation, (C.K. Chui and L.L. Schumaker eds.), vol 2 (1995), p. 39-46.

[82] (with Eden, D. Hattery, M. Hilton, and T. Ogden), Wavelet denoising of functional MRI sequences, in “Wavelet Applications in Medicine and Biology (A. Aldroubi and M. Unser eds.), Ch. 4, 1996, 91-112.

[83] (with G. Peters), A note on integral operators and wavelets, Technical report 1996.

[84] (with B. Deng), Average-interpolation p-wavelets constructed by Haar systems, Technical Report 1996.

[85] (with Y. Mao), Interactive Editing of Normal Vector Fields, preprint.

[86] (with J. Impagliazzo, W. Greene, G. Dobeck, Q. Huynh, L. Smedley, L, Mygatt), Wavelet compression for side scan sonar, Journal of Underwater Acoustics, Special Issue on “Shallow Water Mine Countermeasures” (ed. W. Ching). 12

[87] (with J. Impagliazzo, W. Greene, G. Dobeck, Q. Huynh, L. Smedley, L, Mygatt), Wavelet-based data compression for communication of sidescan sonar images, U.S. Navy J. Underwater Acoustics 47 (1997), pp. 835-858.

[88] (with E. Sinzinger), Surface Representation from Photometric Stereo with Wavelets, in Wavelet Applications in Signal and Image Processing V. (A. Aldroubi, A.F. Laine, and M.A. Unser eds.), San Diego, Vol. 3169 (1997).

[89] (with E. Cornea and Y. Mao), Approximations preserving topological properties, Technical Report 1997.

[90] (with Y. Mao), Multiresolution analysis and general sampling lattices, Technical Report 1997.

[91] (with F. Espinal, T. Huntsberger, T. Kubota), Wavelet-Based Fractal Signature Analysis for Automatic Target Recognition, Optical Engineering, Special Issue on Advances in Pattern Recognition. vol 37:1 (1998), 166-174.

[92] (with P. Lin and E. Sinzinger), Lattice Boltzmann models for nonlinear diffusion filtering, M. Nielsen, P. Johansen, O.F. Olsen, J. Weickert (Eds.) Scale-Space Theories in Computer Vision, Springer 1999.

[93] (with P. Lin and E. Sinzinger), Lattice Boltzmann models for anisotropic diffusion of images, Journal of Mathematical Imaging and Vision, Vol. 11, N o. 3 (1999).

[94] (with P. Lin), Shape recovery by diffusion generated motion, Journal of Visual Communication and Image Representation, Vol. 13, No. 1 (2002), pp. 94-102(9).

[95] (with L. Peng), Compactly supported orthogonal wavelets and FIR filterbanks on the Heisenberg group, submitted to American Journal of Math.

[96] (with E. Cornea and M. Cornea), Hierarchical Shape Representation and Shape Preserving Approximations, Wavelet Applications in Signal and Image Processing VI (A. Laine, M. Unser and A. Aldroubi, eds.), Proceedings of SPIE, vol. 3458, pp.79-91, (1998).

[97] (with E. Cornea), Invariant, Quasi-invariant Signatures and Wavelets, Technical Report 1998.

[98] (with M. Milman), Weakly rearrangement invariant spaces and approximation by largest elements in L. M. Carli and M. Milman (Eds.) Interpolation Theory and Applications, Contemporary Mathematics, 445, 2007.

Publications available on Amazon.com.

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