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## Sweldens, Wim

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 Author ID: sweldens.wim Published as: Sweldens, W.; Sweldens, Wim
 Documents Indexed: 24 Publications since 1991
all top 5

#### Co-Authors

 3 single-authored 7 Daubechies, Ingrid Chantal 4 Guskov, Igor 4 Schröder, Peter 3 Piessens, Robert 2 Hochwald, Bertrand M. 2 Jawerth, Björn David 1 Calderbank, Arthur Robert 1 Clarkson, Kenneth L. 1 Girardi, Maria 1 Hassibi, Babak 1 Khodakovsky, Andrei 1 Kovačević, Jelena 1 Marzetta, Thomas L. 1 Richardson, Thomas J. 1 Roose, Dirk 1 Runborg, Olof 1 Shokrollahi, Mohammad Amin 1 Urbanke, Rüdiger L. 1 Yeo, Boon-Lock 1 Zheng, Alice X.
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#### Serials

 3 Constructive Approximation 3 The Journal of Fourier Analysis and Applications 2 IEEE Transactions on Information Theory 2 Applied and Computational Harmonic Analysis 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 IEEE Transactions on Communications 1 Numerische Mathematik 1 SIAM Journal on Numerical Analysis 1 CWI Quarterly 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 IEEE Transactions on Image Processing
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#### Fields

 18 Harmonic analysis on Euclidean spaces (42-XX) 14 Numerical analysis (65-XX) 5 Computer science (68-XX) 4 Approximations and expansions (41-XX) 4 Information and communication theory, circuits (94-XX) 3 Optics, electromagnetic theory (78-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX)

#### Citations contained in zbMATH

23 Publications have been cited 742 times in 526 Documents Cited by Year
The lifting scheme: A construction of second generation wavelets. Zbl 0911.42016
Sweldens, Wim
1998
The lifting scheme: A custom-design construction of biorthogonal wavelets. Zbl 0874.65104
Sweldens, Wim
1996
Factoring wavelet transforms into lifting steps. Zbl 0913.42027
Daubechies, Ingrid; Sweldens, Wim
1998
Quadrature formulae and asymptotic error expansions for wavelet approximations of smooth functions. Zbl 0822.65013
Sweldens, Wim; Piessens, Robert
1994
Spherical wavelets: Efficiently representing functions on a sphere. Zbl 0970.42024
Schröder, Peter; Sweldens, Wim
2000
Regularity of irregular subdivision. Zbl 0957.42022
Daubechies, I.; Guskov, I.; Sweldens, W.
1999
Normal multiresolution approximation of curves. Zbl 1051.42025
Daubechies, Ingrid; Runborg, Olof; Sweldens, Wim
2004
Wavelet transforms that map integers to integers. Zbl 0941.42017
Calderbank, A. R.; Daubechies, Ingrid; Sweldens, Wim; Yeo, Boon-Lock
1998
An overview of wavelet based multiresolution analyses. Zbl 0803.42016
Jawerth, Björn; Sweldens, Wim
1994
A new class of unbalanced Haar wavelets that form an unconditional basis for $$L_ p$$ on general measure spaces. Zbl 0883.42025
Girardi, Maria; Sweldens, Wim
1997
Building your own wavelets at home. Zbl 0963.65153
Sweldens, Wim; Schröder, Peter
2000
Representation theory for high-rate multiple-antenna code design. Zbl 1017.94501
Shokrollahi, Amin; Hassibi, Babak; Hochwald, Bertrand M.; Sweldens, Wim
2001
Commutation for irregular subdivision. Zbl 0994.42019
Daubechies, Ingrid; Guskov, Igor; Sweldens, Wim
2001
Wavelet families of increasing order in arbitrary dimensions. Zbl 0977.94006
Kovačević, Jelena; Sweldens, Wim
2000
Systematic design of unitary space-time constellations. Zbl 1004.94517
Hochwald, Bertrand M.; Marzetta, Thomas L.; Richardson, Thomas J.; Sweldens, Wim; Urbanke, Rüdiger
2000
Wavelets on irregular point sets. Zbl 0945.42019
Daubechies, Ingrid; Guskov, Igor; Schröder, Peter; Sweldens, Wim
1999
Asymptotic error expansion of wavelet approximations of smooth functions. II. Zbl 0839.65022
Sweldens, Wim; Piessens, Robert
1994
Biorthogonal smooth local trigonometric bases. Zbl 0886.42024
Jawerth, Björn; Sweldens, Wim
1995
Factoring wavelet transforms into lifting steps. Zbl 0963.65154
Daubechies, Ingrid; Sweldens, Wim
2000
Calculation of the wavelet decomposition. Zbl 0755.42019
Sweldens, Wim; Piessens, Robert
1992
Hybrid meshes, multiresolution using regular and irregular refinement. Zbl 1414.68123
Guskov, Igor; Khodakovsky, Andrei; Schröder, Peter; Sweldens, Wim
2002
Wavelets and the lifting scheme: A 5 minute tour. Zbl 0886.65147
Sweldens, Wim
1996
Fast multiple-antenna differential decoding. Zbl 1016.94006
Clarkson, Kenneth L.; Sweldens, Wim; Zheng, Alice
2001
Normal multiresolution approximation of curves. Zbl 1051.42025
Daubechies, Ingrid; Runborg, Olof; Sweldens, Wim
2004
Hybrid meshes, multiresolution using regular and irregular refinement. Zbl 1414.68123
Guskov, Igor; Khodakovsky, Andrei; Schröder, Peter; Sweldens, Wim
2002
Representation theory for high-rate multiple-antenna code design. Zbl 1017.94501
Shokrollahi, Amin; Hassibi, Babak; Hochwald, Bertrand M.; Sweldens, Wim
2001
Commutation for irregular subdivision. Zbl 0994.42019
Daubechies, Ingrid; Guskov, Igor; Sweldens, Wim
2001
Fast multiple-antenna differential decoding. Zbl 1016.94006
Clarkson, Kenneth L.; Sweldens, Wim; Zheng, Alice
2001
Spherical wavelets: Efficiently representing functions on a sphere. Zbl 0970.42024
Schröder, Peter; Sweldens, Wim
2000
Building your own wavelets at home. Zbl 0963.65153
Sweldens, Wim; Schröder, Peter
2000
Wavelet families of increasing order in arbitrary dimensions. Zbl 0977.94006
Kovačević, Jelena; Sweldens, Wim
2000
Systematic design of unitary space-time constellations. Zbl 1004.94517
Hochwald, Bertrand M.; Marzetta, Thomas L.; Richardson, Thomas J.; Sweldens, Wim; Urbanke, Rüdiger
2000
Factoring wavelet transforms into lifting steps. Zbl 0963.65154
Daubechies, Ingrid; Sweldens, Wim
2000
Regularity of irregular subdivision. Zbl 0957.42022
Daubechies, I.; Guskov, I.; Sweldens, W.
1999
Wavelets on irregular point sets. Zbl 0945.42019
Daubechies, Ingrid; Guskov, Igor; Schröder, Peter; Sweldens, Wim
1999
The lifting scheme: A construction of second generation wavelets. Zbl 0911.42016
Sweldens, Wim
1998
Factoring wavelet transforms into lifting steps. Zbl 0913.42027
Daubechies, Ingrid; Sweldens, Wim
1998
Wavelet transforms that map integers to integers. Zbl 0941.42017
Calderbank, A. R.; Daubechies, Ingrid; Sweldens, Wim; Yeo, Boon-Lock
1998
A new class of unbalanced Haar wavelets that form an unconditional basis for $$L_ p$$ on general measure spaces. Zbl 0883.42025
Girardi, Maria; Sweldens, Wim
1997
The lifting scheme: A custom-design construction of biorthogonal wavelets. Zbl 0874.65104
Sweldens, Wim
1996
Wavelets and the lifting scheme: A 5 minute tour. Zbl 0886.65147
Sweldens, Wim
1996
Biorthogonal smooth local trigonometric bases. Zbl 0886.42024
Jawerth, Björn; Sweldens, Wim
1995
Quadrature formulae and asymptotic error expansions for wavelet approximations of smooth functions. Zbl 0822.65013
Sweldens, Wim; Piessens, Robert
1994
An overview of wavelet based multiresolution analyses. Zbl 0803.42016
Jawerth, Björn; Sweldens, Wim
1994
Asymptotic error expansion of wavelet approximations of smooth functions. II. Zbl 0839.65022
Sweldens, Wim; Piessens, Robert
1994
Calculation of the wavelet decomposition. Zbl 0755.42019
Sweldens, Wim; Piessens, Robert
1992
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#### Cited by 945 Authors

 17 Amat, Sergio P. 16 Vasilyev, Oleg V. 13 Liandrat, Jacques 12 Trillo, Juan Carlos 8 Jiang, Qingtang 7 Jansen, Maarten 6 Chui, Charles Kam-tai 6 Dadourian, Karine 6 Dem’yanovich, Yuriĭ Kazimirovich 6 Plonka, Gerlind 5 Chen, Xuefeng 5 Floater, Michael S. 5 He, Zhengjia 5 Mehra, Mani 5 Vandergheynst, Pierre 4 Antoine, Jean-Pierre 4 Bittner, Kai 4 Bultheel, Adhemar François 4 Goyal, Kavita 4 Jouini, Abdellatif 4 Kajani, M. Tavassoli 4 Kevlahan, Nicholas K.-R. 4 Manni, Carla 4 Oswald, Peter 4 Romani, Lucia 4 Ruiz, Juan F. 4 Xiao, Jinyou 4 Zhang, Duo 4 Zheludev, Valery A. 3 Amaratunga, Kevin S. 3 Averbuch, Amir Z. 3 Bao, Zheng 3 Bartels, Richard Harold 3 Beccari, Carolina Vittoria 3 Benedetto, John J. 3 Billings, Stephen A. 3 Brown-Dymkoski, Eric 3 de la Llave Plata, Marta 3 De Stefano, Giuliano 3 Donat, Rosa 3 Dubuc, Serge 3 Dyn, Nira 3 Finěk, Václav 3 Grohs, Philipp 3 Han, Bin 3 Huybrechs, Daan 3 Lal, Shyam 3 Lemarié-Rieusset, Pierre Gilles 3 Levin, Adi 3 Levin, David N. 3 Maes, Jan 3 Mandal, Birendra Nath 3 Panja, Madan Mohan 3 Qin, Kaihuai 3 Ruiz, Juan Carlos 3 Samavati, Faramarz F. 3 Stöckler, Joachim 3 Sweldens, Wim 3 Tasche, Manfred 3 Tong, Hongxi 3 Vandewalle, Stefan G. 3 Vencheh, A. Hadi 3 Wen, Lihua 3 Xia, Tao 3 Zhang, Jiankang 2 Abhyankar, Aditya 2 Adams, Michael D. 2 Aimar, Hugo A. 2 Ajmi, Neyla 2 Aldroubi, Akram 2 Amato, Umberto 2 Antonini, Marc 2 Antoniou, Ioannis E. 2 Asady, Babak 2 Baraniuk, Richard G. 2 Bastin, Françoise 2 Behera, Ratikanta 2 Bernardis, Ana L. 2 Busquier, Sonia 2 Calabró, Francesco 2 Calderbank, Arthur Robert 2 Cant, R. Stewart 2 Cant, Stewart 2 Casciola, Giulio 2 Castrillon-Candas, Julio Enrique 2 Catuogno, Pedro José 2 Chen, Changnian 2 Chen, Jiazhong 2 Cheng, Jiahao 2 Costantini, Paolo Giuseppe 2 Dahmen, Wolfgang A. 2 Daubechies, Ingrid Chantal 2 De Villiers, Johan Marthinus 2 Delouille, Véronique 2 Dierckx, Paul 2 Do, Seongju 2 Dong, Bin 2 Durastanti, Claudio 2 Ferrando, Sebastián Esteban 2 Fischer, Adelheid ...and 845 more Authors
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#### Cited in 158 Serials

 51 Applied and Computational Harmonic Analysis 30 International Journal of Wavelets, Multiresolution and Information Processing 27 Journal of Computational Physics 26 Journal of Computational and Applied Mathematics 19 Computer Aided Geometric Design 18 Applied Mathematics and Computation 14 Advances in Computational Mathematics 11 The Journal of Fourier Analysis and Applications 10 Journal of Approximation Theory 10 EURASIP Journal on Advances in Signal Processing 9 Linear Algebra and its Applications 8 Pattern Recognition 7 Mathematics and Computers in Simulation 7 Circuits, Systems, and Signal Processing 6 Constructive Approximation 6 Numerical Algorithms 6 Science in China. Series F 5 Computer Methods in Applied Mechanics and Engineering 5 Mathematics of Computation 5 Proceedings of the American Mathematical Society 5 Applied Numerical Mathematics 5 International Journal of Computer Mathematics 5 Journal of Mathematical Sciences (New York) 5 Engineering Analysis with Boundary Elements 4 Computers & Mathematics with Applications 4 BIT 4 Computing 4 Information Sciences 4 Journal of Statistical Planning and Inference 4 Signal Processing 4 Science in China. Series E 4 Journal of VLSI Signal Processing Systems for Signal, Image, and Video Technology 4 Computational Geosciences 3 Computers and Fluids 3 Journal of Fluid Mechanics 3 Journal of the Franklin Institute 3 The Annals of Statistics 3 International Journal for Numerical Methods in Engineering 3 Journal of Functional Analysis 3 Numerische Mathematik 3 Computational Mechanics 3 Journal of Scientific Computing 3 Multidimensional Systems and Signal Processing 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Wuhan University Journal of Natural Sciences (WUJNS) 3 Journal of the Royal Statistical Society. Series B. Statistical Methodology 3 Engineering Computations 2 Computer Physics Communications 2 Journal of Mathematical Analysis and Applications 2 Journal of Mathematical Physics 2 Mathematical Notes 2 Chaos, Solitons and Fractals 2 Advances in Mathematics 2 Annals of the Institute of Statistical Mathematics 2 Numerical Functional Analysis and Optimization 2 Results in Mathematics 2 Physica D 2 Journal of Computer Science and Technology 2 Applications of Mathematics 2 Applied Mathematical Modelling 2 Vestnik St. Petersburg University. Mathematics 2 Communications in Numerical Methods in Engineering 2 International Journal of Shape Modeling 2 International Journal of Computational Fluid Dynamics 2 Foundations of Computational Mathematics 2 Journal of Systems Science and Complexity 2 Signal, Image and Video Processing 2 Mathematical Geosciences 2 Statistics and Computing 2 S$$\vec{\text{e}}$$MA Journal 2 International Journal of Applied and Computational Mathematics 1 Astrophysics and Space Science 1 Bulletin of the Australian Mathematical Society 1 Discrete Applied Mathematics 1 Discrete Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 International Journal of Systems Science 1 Journal of Engineering Mathematics 1 Linear and Multilinear Algebra 1 Mathematical Methods in the Applied Sciences 1 Metrika 1 Rocky Mountain Journal of Mathematics 1 ACM Transactions on Mathematical Software 1 Duke Mathematical Journal 1 Fuzzy Sets and Systems 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Multivariate Analysis 1 Mathematische Zeitschrift 1 Theoretical Computer Science 1 Transactions of the American Mathematical Society 1 Statistics & Probability Letters 1 Journal of Time Series Analysis 1 International Journal of Production Research 1 Acta Mathematicae Applicatae Sinica. English Series 1 Statistics 1 Journal of Symbolic Computation 1 Journal of Complexity 1 Discrete & Computational Geometry 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling ...and 58 more Serials
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#### Cited in 48 Fields

 307 Numerical analysis (65-XX) 174 Harmonic analysis on Euclidean spaces (42-XX) 113 Information and communication theory, circuits (94-XX) 65 Approximations and expansions (41-XX) 57 Computer science (68-XX) 39 Statistics (62-XX) 29 Partial differential equations (35-XX) 26 Fluid mechanics (76-XX) 17 Systems theory; control (93-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 13 Integral equations (45-XX) 13 Geophysics (86-XX) 12 Functional analysis (46-XX) 12 Mechanics of deformable solids (74-XX) 11 Biology and other natural sciences (92-XX) 10 Probability theory and stochastic processes (60-XX) 9 Operator theory (47-XX) 8 Ordinary differential equations (34-XX) 7 Number theory (11-XX) 6 Combinatorics (05-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Operations research, mathematical programming (90-XX) 4 Real functions (26-XX) 4 Measure and integration (28-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Optics, electromagnetic theory (78-XX) 4 Quantum theory (81-XX) 3 Topological groups, Lie groups (22-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 General and overarching topics; collections (00-XX) 2 Mathematical logic and foundations (03-XX) 2 Field theory and polynomials (12-XX) 2 Associative rings and algebras (16-XX) 2 Group theory and generalizations (20-XX) 2 Abstract harmonic analysis (43-XX) 2 Astronomy and astrophysics (85-XX) 1 Commutative algebra (13-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)