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Massopust, Peter R.

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Author ID: massopust.peter-r Recent zbMATH articles by "Massopust, Peter R."
Published as: Massopust, Peter; Massopust, Peter R.; Massopust, P.; Massopust, P. R.

Publications by Year

Citations contained in zbMATH Open

49 Publications have been cited 691 times in 419 Documents Cited by Year
Fractal functions and wavelet expansions based on several scaling functions. Zbl 0806.41016
Geronimo, Jeffrey S.; Hardin, Douglas P.; Massopust, Peter R.
114
1994
Hidden variable fractal interpolation functions. Zbl 0704.26009
Barnsley, M. F.; Elton, J.; Hardin, D.; Massopust, P.
79
1989
Construction of orthogonal wavelets using fractal interpolation functions. Zbl 0873.42021
Donovan, George C.; Geronimo, Jeffrey S.; Hardin, Douglas P.; Massopust, Peter R.
70
1996
Fractal functions, fractal surfaces, and wavelets. Zbl 0817.28004
Massopust, Peter R.
58
1994
Fractal surfaces. Zbl 0716.28007
Massopust, Peter R.
49
1990
Interpolation and approximation with splines and fractals. Zbl 1190.65020
Massopust, Peter
41
2010
Fractal functions, fractal surfaces, and wavelets. 2nd expanded and updated edition. Zbl 1343.28003
Massopust, Peter R.
32
2016
Bilinear fractal interpolation and box dimension. Zbl 1315.28003
Barnsley, Michael F.; Massopust, Peter R.
26
2015
The capacity for a class of fractal functions. Zbl 0605.28006
Hardin, D. P.; Massopust, P. R.
23
1986
Fractal interpolation functions from \(R^ n\) into \(R^ m\) and their projections. Zbl 0777.41022
Hardin, D. P.; Massopust, P. R.
21
1993
Multiresolution analyses based on fractal functions. Zbl 0772.41002
Hardin, Douglas P.; Kessler, Bruce; Massopust, Peter R.
19
1992
On the support properties of scaling vectors. Zbl 0858.42023
Massopust, Peter R.; Ruch, David K.; van Fleet, Patrick J.
17
1996
Smooth interpolating curves and surfaces generated by iterated function systems. Zbl 0777.41024
Massopust, Peter R.
13
1993
Exponential B-splines and the partition of unity property. Zbl 1260.42021
Christensen, Ole; Massopust, Peter
13
2012
Fractal functions and their applications. Zbl 0919.58035
Massopust, Peter R.
12
1997
Vector-valued fractal interpolation functions and their box dimensions. Zbl 0738.28006
Massopust, Peter R.
11
1991
Steerable wavelet frames based on the Riesz transform. Zbl 1371.42043
Held, Stefan; Storath, Martin; Massopust, Peter; Forster, Brigitte
8
2010
An application of Coxeter groups to the construction of wavelet bases in \(\mathbb{R}^ n\). Zbl 0861.42025
Geronimo, Jeffrey S.; Hardin, Douglas P.; Massopust, Peter R.
6
1994
Numerics and fractals. Zbl 1305.28015
Barnsley, Michael F.; Hegland, Markus; Massopust, Peter
6
2014
The exact Hausdorff dimension for a class of fractal functions. Zbl 0762.28006
Gibert, Steve; Massopust, Peter R.
5
1992
On the invalidity of Fourier series expansions of fractional order. Zbl 1341.42013
Massopust, Peter R.; Zayed, Ahmed I.
5
2015
Dynamical systems, fractal functions and dimension. Zbl 0668.58036
Massopust, Peter R.
4
1987
Statistical encounters with complex B-splines. Zbl 1171.41305
Forster, Brigitte; Massopust, Peter
4
2009
Local fractal functions and function spaces. Zbl 1317.28016
Massopust, Peter R.
4
2014
Local fractal interpolation on unbounded domains. Zbl 1393.28009
Massopust, Peter R.
4
2017
Four short courses on harmonic analysis. Wavelets, frames, time-frequency methods, and applications to signal and image analysis. Zbl 1182.42002
4
2010
Exponential splines of complex order. Zbl 1308.41011
Massopust, Peter
3
2014
Directional time-frequency analysis via continuous frames. Zbl 1330.42017
Christensen, Ole; Forster, Brigitte; Massopust, Peter
3
2015
Splines of complex order: Fourier, filters and fractional derivatives. Zbl 1248.41017
Forster, B.; Massopust, P.
3
2011
Fractal convolution: A new operation between functions. Zbl 1426.28021
Navascués, María A.; Massopust, Peter R.
3
2019
Frames and operator theory in analysis and signal processing. AMS-SIAM special session, San Antonio, TX, USA, January 12–15, 2006. Zbl 1132.42001
3
2008
Fractal functions and wavelets: examples of multiscale theory. Zbl 1076.42025
Massopust, Peter R.
2
2004
A multiwavelet based on piecewise \(C^1\) fractal functions and related applications to differential equations. Zbl 0920.35011
Massopust, Peter R.
2
1998
Divergence-free multiwavelets. Zbl 0916.42027
Lakey, Joseph D.; Massopust, Peter R.; Pereyra, Maria C.
2
1998
Multivariate complex B-splines and Dirichlet averages. Zbl 1186.41008
Massopust, Peter; Forster, Brigitte
2
2010
Fractal Peano curves. Zbl 0705.58029
Massopust, Peter R.
2
1989
Quaternionic fundamental cardinal splines: interpolation and sampling. Zbl 1430.30028
Hogan, Jeffrey A.; Massopust, Peter R.
2
2019
Coxeter groups and wavelet sets. Zbl 1185.42037
Larson, David R.; Massopust, Peter
2
2008
Complex \(\mathrm{B}\)-splines and Hurwitz zeta functions. Zbl 1303.11103
Forster, B.; Garunkštis, R.; Massopust, P.; Steuding, J.
2
2013
On local fractal functions in Besov and Triebel-Lizorkin spaces. Zbl 1339.28010
Massopust, Peter R.
2
2016
Multigrid convergence for the MDCA curvature estimator. Zbl 1365.65045
Schindele, Andreas; Massopust, Peter; Forster, Brigitte
2
2017
Local average sampling and reconstruction with fundamental splines of fractional order. Zbl 1419.94022
Devaraj, P.; Massopust, Peter; Yugesh, S.
1
2019
Quaternionic B-splines. Zbl 1376.65011
Hogan, Jeffrey A.; Massopust, Peter
1
2017
Introduction: Mathematical aspects of time-frequency analysis. Zbl 1193.94035
Massopust, Peter; Forster, Brigitte
1
2010
Splines, fractal functions, and Besov and Triebel-Lizorkin spaces. Zbl 1180.41008
Massopust, Peter
1
2005
Fractional operators, Dirichlet averages, and splines. Zbl 1315.26006
Massopust, Peter
1
2014
On some generalizations of B-splines. Zbl 1471.41005
Massopust, Peter
1
2019
Radon transforms, geometry, and wavelets. AMS special session, New Orleans, LA, USA, January 7–8, 2007 and workshop, Baton Rouge, LA, USA, January 4–5, 2007. Zbl 1143.42002
1
2008
Some remarks about the connection between fractional divided differences, fractional \(B\)-splines, and the Hermite-Genocchi formula. Zbl 1154.41302
Massopust, Peter; Forster, Brigitte
1
2008
Fractal convolution: A new operation between functions. Zbl 1426.28021
Navascués, María A.; Massopust, Peter R.
3
2019
Quaternionic fundamental cardinal splines: interpolation and sampling. Zbl 1430.30028
Hogan, Jeffrey A.; Massopust, Peter R.
2
2019
Local average sampling and reconstruction with fundamental splines of fractional order. Zbl 1419.94022
Devaraj, P.; Massopust, Peter; Yugesh, S.
1
2019
On some generalizations of B-splines. Zbl 1471.41005
Massopust, Peter
1
2019
Local fractal interpolation on unbounded domains. Zbl 1393.28009
Massopust, Peter R.
4
2017
Multigrid convergence for the MDCA curvature estimator. Zbl 1365.65045
Schindele, Andreas; Massopust, Peter; Forster, Brigitte
2
2017
Quaternionic B-splines. Zbl 1376.65011
Hogan, Jeffrey A.; Massopust, Peter
1
2017
Fractal functions, fractal surfaces, and wavelets. 2nd expanded and updated edition. Zbl 1343.28003
Massopust, Peter R.
32
2016
On local fractal functions in Besov and Triebel-Lizorkin spaces. Zbl 1339.28010
Massopust, Peter R.
2
2016
Bilinear fractal interpolation and box dimension. Zbl 1315.28003
Barnsley, Michael F.; Massopust, Peter R.
26
2015
On the invalidity of Fourier series expansions of fractional order. Zbl 1341.42013
Massopust, Peter R.; Zayed, Ahmed I.
5
2015
Directional time-frequency analysis via continuous frames. Zbl 1330.42017
Christensen, Ole; Forster, Brigitte; Massopust, Peter
3
2015
Numerics and fractals. Zbl 1305.28015
Barnsley, Michael F.; Hegland, Markus; Massopust, Peter
6
2014
Local fractal functions and function spaces. Zbl 1317.28016
Massopust, Peter R.
4
2014
Exponential splines of complex order. Zbl 1308.41011
Massopust, Peter
3
2014
Fractional operators, Dirichlet averages, and splines. Zbl 1315.26006
Massopust, Peter
1
2014
Complex \(\mathrm{B}\)-splines and Hurwitz zeta functions. Zbl 1303.11103
Forster, B.; Garunkštis, R.; Massopust, P.; Steuding, J.
2
2013
Exponential B-splines and the partition of unity property. Zbl 1260.42021
Christensen, Ole; Massopust, Peter
13
2012
Splines of complex order: Fourier, filters and fractional derivatives. Zbl 1248.41017
Forster, B.; Massopust, P.
3
2011
Interpolation and approximation with splines and fractals. Zbl 1190.65020
Massopust, Peter
41
2010
Steerable wavelet frames based on the Riesz transform. Zbl 1371.42043
Held, Stefan; Storath, Martin; Massopust, Peter; Forster, Brigitte
8
2010
Four short courses on harmonic analysis. Wavelets, frames, time-frequency methods, and applications to signal and image analysis. Zbl 1182.42002
4
2010
Multivariate complex B-splines and Dirichlet averages. Zbl 1186.41008
Massopust, Peter; Forster, Brigitte
2
2010
Introduction: Mathematical aspects of time-frequency analysis. Zbl 1193.94035
Massopust, Peter; Forster, Brigitte
1
2010
Statistical encounters with complex B-splines. Zbl 1171.41305
Forster, Brigitte; Massopust, Peter
4
2009
Frames and operator theory in analysis and signal processing. AMS-SIAM special session, San Antonio, TX, USA, January 12–15, 2006. Zbl 1132.42001
3
2008
Coxeter groups and wavelet sets. Zbl 1185.42037
Larson, David R.; Massopust, Peter
2
2008
Radon transforms, geometry, and wavelets. AMS special session, New Orleans, LA, USA, January 7–8, 2007 and workshop, Baton Rouge, LA, USA, January 4–5, 2007. Zbl 1143.42002
1
2008
Some remarks about the connection between fractional divided differences, fractional \(B\)-splines, and the Hermite-Genocchi formula. Zbl 1154.41302
Massopust, Peter; Forster, Brigitte
1
2008
Splines, fractal functions, and Besov and Triebel-Lizorkin spaces. Zbl 1180.41008
Massopust, Peter
1
2005
Fractal functions and wavelets: examples of multiscale theory. Zbl 1076.42025
Massopust, Peter R.
2
2004
A multiwavelet based on piecewise \(C^1\) fractal functions and related applications to differential equations. Zbl 0920.35011
Massopust, Peter R.
2
1998
Divergence-free multiwavelets. Zbl 0916.42027
Lakey, Joseph D.; Massopust, Peter R.; Pereyra, Maria C.
2
1998
Fractal functions and their applications. Zbl 0919.58035
Massopust, Peter R.
12
1997
Construction of orthogonal wavelets using fractal interpolation functions. Zbl 0873.42021
Donovan, George C.; Geronimo, Jeffrey S.; Hardin, Douglas P.; Massopust, Peter R.
70
1996
On the support properties of scaling vectors. Zbl 0858.42023
Massopust, Peter R.; Ruch, David K.; van Fleet, Patrick J.
17
1996
Fractal functions and wavelet expansions based on several scaling functions. Zbl 0806.41016
Geronimo, Jeffrey S.; Hardin, Douglas P.; Massopust, Peter R.
114
1994
Fractal functions, fractal surfaces, and wavelets. Zbl 0817.28004
Massopust, Peter R.
58
1994
An application of Coxeter groups to the construction of wavelet bases in \(\mathbb{R}^ n\). Zbl 0861.42025
Geronimo, Jeffrey S.; Hardin, Douglas P.; Massopust, Peter R.
6
1994
Fractal interpolation functions from \(R^ n\) into \(R^ m\) and their projections. Zbl 0777.41022
Hardin, D. P.; Massopust, P. R.
21
1993
Smooth interpolating curves and surfaces generated by iterated function systems. Zbl 0777.41024
Massopust, Peter R.
13
1993
Multiresolution analyses based on fractal functions. Zbl 0772.41002
Hardin, Douglas P.; Kessler, Bruce; Massopust, Peter R.
19
1992
The exact Hausdorff dimension for a class of fractal functions. Zbl 0762.28006
Gibert, Steve; Massopust, Peter R.
5
1992
Vector-valued fractal interpolation functions and their box dimensions. Zbl 0738.28006
Massopust, Peter R.
11
1991
Fractal surfaces. Zbl 0716.28007
Massopust, Peter R.
49
1990
Hidden variable fractal interpolation functions. Zbl 0704.26009
Barnsley, M. F.; Elton, J.; Hardin, D.; Massopust, P.
79
1989
Fractal Peano curves. Zbl 0705.58029
Massopust, Peter R.
2
1989
Dynamical systems, fractal functions and dimension. Zbl 0668.58036
Massopust, Peter R.
4
1987
The capacity for a class of fractal functions. Zbl 0605.28006
Hardin, D. P.; Massopust, P. R.
23
1986
all top 5

Cited by 479 Authors

35 Chand, Arya Kumar Bedabrata
24 Massopust, Peter R.
24 Viswanathan, Puthan Veedu
22 Navascués, María Antonia
11 Vijender, Nallapu
9 Yang, Shouzhi
8 Wang, Hongyong
7 Bouboulis, Pantelis
7 Dalla, Leoni
7 Forster-Heinlein, Brigitte
7 Kapoor, Govind P.
7 Ruan, Huo-Jun
7 Yun, Cholhui
6 Hardin, Douglas P.
6 Jiang, Qingtang
6 Ri, Songil
5 Akhtar, Md. Nasim
5 Barnsley, Michael Fielding
5 Cheng, Zhengxing
5 Christensen, Ole
5 Cui, Lihong
5 Han, Bin
5 Luor, Dahchin
5 Prasad, M. Guru Prem
5 Prasad, Srijanani Anurag
5 Sun, Wenchang
5 Zhuang, Zhuo
4 Drakopoulos, Vasileios
4 Feng, Zhigang
4 Geronimo, Jeffrey S.
4 Goh, Say Song
4 Jørgensen, Palle E. T.
4 Katiyar, Saurabh Kumar
4 Kessler, Bruce
4 Li, Baobin
4 Nashed, M. Zuhair
4 Pan, Xuezai
4 Panagouli, O. K.
4 Peng, Lizhong
4 Ruch, David K.
4 Unser, Michael A.
4 Xie, Changzhen
4 Zhou, Dingxuan
3 Buescu, Jorge
3 Cabrelli, Carlos A.
3 Chui, Charles Kam-tai
3 Conti, Costanza
3 Doungmo Goufo, Emile Franc
3 Freeden, Willi
3 Gowrisankar, A.
3 Igudesman, Konstantin B.
3 Kapica, Rafał
3 Keinert, Fritz
3 Kim, Jinmyong
3 Lian, Jian’ao
3 Liu, Jianlin
3 Ma, Jichao
3 Małysz, Robert
3 Mohapatra, Ram Narayan
3 Morawiec, Janusz
3 Mun, Hakmyong
3 Panagiotopoulos, Panagiotis D.
3 Ri, Mi-Gyong
3 Serpa, Cristina
3 Shang, Xudong
3 Shen, Zuowei
3 Strang, William Gilbert
3 Tyada, K. R.
3 Vince, Andrew
3 Wang, Minggang
3 Wei, Gaofeng
3 Zamrii, Iryna V.
2 Altürk, Ahmet
2 Amini, Arash Ali
2 Antunes, Daniel Martins
2 Ashino, Ryuichi
2 Bahar, Sonya
2 Bahmanpour, Maryam
2 Bao, Fangxun
2 Blanchard, Jeffrey D.
2 Chen, Dirong
2 Chen, Hanlin
2 Cotronei, Mariantonia
2 Daubechies, Ingrid Chantal
2 Deliu, Anca
2 Deniz, Ali
2 Dyn, Nira
2 Gao, Hongfen
2 Gao, Xieping
2 Glendinning, Paul Alexander
2 Golmankhaneh, Alireza Khalili
2 Huang, Yongdong
2 Jha, Sangita
2 Ji, Jiabing
2 Kim, Hyonjin
2 Ko, Jeonghwan
2 Kumar, Sunil
2 Kurdila, Andrew J.
2 Lachaud, Jacques-Olivier
2 Lawton, Wayne M.
...and 379 more Authors
all top 5

Cited in 133 Serials

40 Fractals
26 Chaos, Solitons and Fractals
25 Applied and Computational Harmonic Analysis
22 Journal of Mathematical Analysis and Applications
17 Journal of Approximation Theory
14 Applied Mathematics and Computation
13 International Journal of Wavelets, Multiresolution and Information Processing
9 Results in Mathematics
8 Mathematics of Computation
8 The Journal of Fourier Analysis and Applications
7 Mediterranean Journal of Mathematics
6 Computers & Mathematics with Applications
6 Numerical Functional Analysis and Optimization
5 Journal of Computational and Applied Mathematics
5 Constructive Approximation
5 International Journal of Computer Mathematics
5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
5 Mathematical Problems in Engineering
4 Bulletin of the Australian Mathematical Society
4 Proceedings of the American Mathematical Society
4 Journal of Mathematical Imaging and Vision
4 Computational and Applied Mathematics
4 Advances in Computational Mathematics
4 Fractional Calculus & Applied Analysis
4 Axioms
3 Transactions of the American Mathematical Society
3 Circuits, Systems, and Signal Processing
3 Aequationes Mathematicae
3 Applied Mathematical Modelling
3 Applied Mathematics. Series B (English Edition)
3 Nonlinear Dynamics
3 Acta Mathematica Sinica. English Series
3 Journal of Fixed Point Theory and Applications
3 Complex Analysis and Operator Theory
2 Modern Physics Letters A
2 Applicable Analysis
2 Computer Methods in Applied Mechanics and Engineering
2 BIT
2 Calcolo
2 Demonstratio Mathematica
2 Integral Equations and Operator Theory
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Applied Mathematics and Mechanics. (English Edition)
2 Acta Applicandae Mathematicae
2 Applied Numerical Mathematics
2 Acta Mathematicae Applicatae Sinica. English Series
2 Computational Mechanics
2 Linear Algebra and its Applications
2 Pattern Recognition
2 International Journal of Computer Vision
2 Journal of Difference Equations and Applications
2 Abstract and Applied Analysis
2 Matematychni Studiï
2 The ANZIAM Journal
2 Advances in Complex Systems
2 Science in China. Series F
2 EURASIP Journal on Advances in Signal Processing
2 SIAM Journal on Imaging Sciences
2 Asian-European Journal of Mathematics
2 GEM - International Journal on Geomathematics
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Journal of Fractal Geometry
1 Communications in Algebra
1 Computers and Fluids
1 Inverse Problems
1 Journal of Computational Physics
1 Journal of Mathematical Physics
1 Linear and Multilinear Algebra
1 Mathematical Methods in the Applied Sciences
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Rocky Mountain Journal of Mathematics
1 Theoretical and Mathematical Physics
1 Archiv der Mathematik
1 Czechoslovak Mathematical Journal
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Functional Analysis
1 Journal of Geometry
1 Mathematics and Computers in Simulation
1 Mathematische Nachrichten
1 Monatshefte für Mathematik
1 Numerische Mathematik
1 Topology and its Applications
1 Computer Aided Geometric Design
1 Physica D
1 Journal of Symbolic Computation
1 Numerical Methods for Partial Differential Equations
1 Applied Mathematics Letters
1 European Journal of Applied Mathematics
1 Signal Processing
1 Computational Mathematics and Modeling
1 Multidimensional Systems and Signal Processing
1 The Journal of Geometric Analysis
1 Communications in Statistics. Theory and Methods
1 SIAM Journal on Mathematical Analysis
1 Bulletin of the American Mathematical Society. New Series
1 Chinese Science Bulletin
1 Indagationes Mathematicae. New Series
1 Russian Mathematics
1 SIAM Journal on Scientific Computing
...and 33 more Serials
all top 5

Cited in 49 Fields

182 Measure and integration (28-XX)
151 Harmonic analysis on Euclidean spaces (42-XX)
138 Numerical analysis (65-XX)
126 Approximations and expansions (41-XX)
56 Information and communication theory, circuits (94-XX)
46 Real functions (26-XX)
36 Dynamical systems and ergodic theory (37-XX)
19 Functional analysis (46-XX)
19 Operator theory (47-XX)
19 Computer science (68-XX)
12 Partial differential equations (35-XX)
11 Difference and functional equations (39-XX)
10 Probability theory and stochastic processes (60-XX)
8 Statistics (62-XX)
8 Mechanics of deformable solids (74-XX)
7 Number theory (11-XX)
7 Group theory and generalizations (20-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
6 Special functions (33-XX)
6 General topology (54-XX)
6 Biology and other natural sciences (92-XX)
5 Ordinary differential equations (34-XX)
4 Integral equations (45-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Statistical mechanics, structure of matter (82-XX)
3 Algebraic geometry (14-XX)
3 Abstract harmonic analysis (43-XX)
3 Geometry (51-XX)
3 Optics, electromagnetic theory (78-XX)
2 Combinatorics (05-XX)
2 Topological groups, Lie groups (22-XX)
2 Functions of a complex variable (30-XX)
2 Integral transforms, operational calculus (44-XX)
2 Convex and discrete geometry (52-XX)
2 Fluid mechanics (76-XX)
2 Quantum theory (81-XX)
2 Geophysics (86-XX)
2 Systems theory; control (93-XX)
2 Mathematics education (97-XX)
1 General and overarching topics; collections (00-XX)
1 Commutative algebra (13-XX)
1 Category theory; homological algebra (18-XX)
1 Potential theory (31-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)
1 Relativity and gravitational theory (83-XX)
1 Operations research, mathematical programming (90-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year