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## Waldron, Shayne F. D.

Compute Distance To:
 Author ID: waldron.shayne-f-d Published as: Waldron, Shayne; Waldron, S.; Waldron, Shayne F. D.
 Documents Indexed: 56 Publications since 1995, including 1 Book
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#### Co-Authors

 27 single-authored 7 Bos, Len P. 6 Chien, Tuan-Yow 5 Vale, Richard 4 Levenberg, Norman jun. 2 Cooper, Shaun 2 Hughes, Daniel R. 1 Appleby, Marcus 1 Bloom, Thomas 1 Broome, Helen 1 Do, Tan Duc 1 Flammia, Steven T. 1 Flynn, Victor 1 Hay, Nick 1 Marshall, Simon 1 Ma’u, Sione 1 Peng, Irine 1 Reams, Robert B. 1 Shen, Zouwei
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#### Serials

 8 Journal of Approximation Theory 8 Linear Algebra and its Applications 5 Constructive Approximation 4 Applied and Computational Harmonic Analysis 3 Numerische Mathematik 3 Numerical Algorithms 2 IEEE Transactions on Information Theory 2 New Zealand Journal of Mathematics 2 East Journal on Approximations 1 Analysis Mathematica 1 Numerical Functional Analysis and Optimization 1 SIAM Journal on Numerical Analysis 1 SIAM Journal on Discrete Mathematics 1 SIAM Journal on Mathematical Analysis 1 Indagationes Mathematicae. New Series 1 The Journal of Fourier Analysis and Applications 1 ELA. The Electronic Journal of Linear Algebra 1 Journal of Physics A: Mathematical and Theoretical 1 Involve 1 Jaen Journal on Approximation 1 Applied and Numerical Harmonic Analysis
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#### Fields

 29 Approximations and expansions (41-XX) 29 Harmonic analysis on Euclidean spaces (42-XX) 11 Numerical analysis (65-XX) 10 Information and communication theory, circuits (94-XX) 9 Special functions (33-XX) 8 Group theory and generalizations (20-XX) 7 Combinatorics (05-XX) 6 Convex and discrete geometry (52-XX) 5 Number theory (11-XX) 5 Quantum theory (81-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Real functions (26-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Operator theory (47-XX) 3 Geometry (51-XX) 2 Algebraic geometry (14-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Functional analysis (46-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Global analysis, analysis on manifolds (58-XX)

#### Citations contained in zbMATH Open

46 Publications have been cited 377 times in 251 Documents Cited by Year
The eigenstructure of the Bernstein operator. Zbl 0963.41006
Cooper, Shaun; Waldron, Shayne
2000
Tight frames and their symmetries. Zbl 1059.42026
Vale, Richard; Waldron, Shayne
2005
On the construction of equiangular frames from graphs. Zbl 1216.05079
Waldron, Shayne
2009
Generalized Welch bound equality sequences are tight frames. Zbl 1301.94030
Waldron, Shayne
2003
An introduction to finite tight frames. Zbl 1388.42078
Waldron, Shayne F. D.
2018
A generalised beta integral and the limit of the Bernstein–Durrmeyer operator with Jacobi weights. Zbl 1024.41014
Waldron, Shayne
2003
Constructing exact symmetric informationally complete measurements from numerical solutions. Zbl 1397.81022
Appleby, Marcus; Chien, Tuan-Yow; Flammia, Steven; Waldron, Shayne
2018
Tight frames generated by finite nonabelian groups. Zbl 1152.42011
Vale, Richard; Waldron, Shayne
2008
The error in linear interpolation at the vertices of a simplex. Zbl 0924.41007
Waldron, Shayne
1998
Signed frames and Hadamard products of Gram matrices. Zbl 0999.05014
Peng, Irine; Waldron, Shayne
2002
A classification of the harmonic frames up to unitary equivalence. Zbl 1211.42028
Chien, Tuan-Yow; Waldron, Shayne
2011
The diagonalisation of the multivariate Bernstein operator. Zbl 1020.41008
Cooper, Shaun; Waldron, Shayne
2002
On the spacing of Fekete points for a sphere, ball or simplex. Zbl 1161.41001
Bos, Len; Levenberg, Norm; Waldron, Shayne
2008
On computing all harmonic frames of $$n$$ vectors in $$\mathbb {C}^d$$. Zbl 1104.94003
Waldron, Shayne; Hay, Nick
2006
A characterization of projective unitary equivalence of finite frames and applications. Zbl 1336.05085
Chien, Tuan-Yow; Waldron, Shayne
2016
Pseudometrics, distances and multivariate polynomial inequalities. Zbl 1154.41007
Bos, Len; Levenberg, Norm; Waldron, Shayne
2008
Metrics associated to multivariate polynomial inequalities. Zbl 1068.41022
Bos, Len; Levenberg, Norm; Waldron, Shayne
2004
Group frames. Zbl 1264.42015
Waldron, Shayne
2013
On the convergence of optimal measures. Zbl 1217.32012
Bloom, T.; Bos, L.; Levenberg, N.; Waldron, S.
2010
On the Bernstein–Bézier form of Jacobi polynomials on a simplex. Zbl 1098.33008
Waldron, Shayne
2006
On the construction of highly symmetric tight frames and complex polytopes. Zbl 1282.42029
Broome, Helen; Waldron, Shayne
2013
The construction of $$G$$-invariant finite tight frames. Zbl 1353.42029
Vale, Richard; Waldron, Shayne
2016
Isometric tight frames. Zbl 1015.42024
Reams, Robert; Waldron, Shayne
2002
Some remarks on Heisenberg frames and sets of equiangular lines. Zbl 1200.05047
Bos, Len; Waldron, Shayne
2007
The symmetry group of a finite frame. Zbl 1188.42015
Vale, Richard; Waldron, Shayne
2010
Increasing the polynomial reproduction of a quasi-interpolation operator. Zbl 1181.41009
Waldron, Shayne
2009
Multipoint Taylor formulae. Zbl 0956.41019
Waldron, Shayne
1998
The vertices of the Platonic solids are tight frames. Zbl 1055.42020
Vale, Richard; Waldron, Shayne
2004
Refinements of the Peano kernel theorem. Zbl 0956.41016
Waldron, Shayne
1999
Orthogonal polynomials on the disc. Zbl 1132.33317
Waldron, Shayne
2008
Frames for vector spaces and affine spaces. Zbl 1214.15003
Waldron, Shayne
2011
A sharpening of the welch bounds and the existence of real and complex spherical $$t$$-designs. Zbl 1390.94912
Waldron, Shayne
2017
Continuous and discrete tight frames of orthogonal polynomials for a radially symmetric weight. Zbl 1180.33011
Waldron, Shayne
2009
Sharp error estimates for multivariate positive linear operators. Zbl 0923.41014
Waldron, Shayne
1998
Integral error formulae for the scale of mean value interpolations which includes Kergin and Hakopian interpolation. Zbl 0892.41002
Waldron, Shayne
1997
Nice error frames, canonical abstract error groups and the construction of SICs. Zbl 1402.81025
Chien, Tuan-Yow; Waldron, Shayne
2017
$$L_p$$-error bounds for Hermite interpolation and the associated Wirtinger inequalities. Zbl 0894.41015
Waldron, S.
1997
Schmidt’s inequality. Zbl 0894.41016
Waldron, Shayne
1997
Affine generalised barycentric coordinates. Zbl 1258.41014
Waldron, Shayne
2011
Scattered data interpolation by box splines. Zbl 1167.65330
Shen, Zouwei; Waldron, Shayne
2008
Symmetries of linear functionals. Zbl 1137.46309
Waldron, Shayne
1995
Hermite polynomials on the plane. Zbl 1122.33006
Waldron, Shayne
2007
Recursive three-term recurrence relations for the Jacobi polynomials on a triangle. Zbl 1247.33023
Waldron, Shayne
2011
A multivariate form of Hardy’s inequality and $$L_ p$$-error bounds for multivariate Lagrange interpolation schemes. Zbl 0867.41008
Waldron, Shayne
1997
Tight frames for cyclotomic fields and other rational vector spaces. Zbl 1400.42039
Chien, Tuan-Yow; Flynn, Victor; Waldron, Shayne
2015
Spherical half-designs of high order. Zbl 1435.05041
Hughes, Daniel; Waldron, Shayne
2020
Spherical half-designs of high order. Zbl 1435.05041
Hughes, Daniel; Waldron, Shayne
2020
An introduction to finite tight frames. Zbl 1388.42078
Waldron, Shayne F. D.
2018
Constructing exact symmetric informationally complete measurements from numerical solutions. Zbl 1397.81022
Appleby, Marcus; Chien, Tuan-Yow; Flammia, Steven; Waldron, Shayne
2018
A sharpening of the welch bounds and the existence of real and complex spherical $$t$$-designs. Zbl 1390.94912
Waldron, Shayne
2017
Nice error frames, canonical abstract error groups and the construction of SICs. Zbl 1402.81025
Chien, Tuan-Yow; Waldron, Shayne
2017
A characterization of projective unitary equivalence of finite frames and applications. Zbl 1336.05085
Chien, Tuan-Yow; Waldron, Shayne
2016
The construction of $$G$$-invariant finite tight frames. Zbl 1353.42029
Vale, Richard; Waldron, Shayne
2016
Tight frames for cyclotomic fields and other rational vector spaces. Zbl 1400.42039
Chien, Tuan-Yow; Flynn, Victor; Waldron, Shayne
2015
Group frames. Zbl 1264.42015
Waldron, Shayne
2013
On the construction of highly symmetric tight frames and complex polytopes. Zbl 1282.42029
Broome, Helen; Waldron, Shayne
2013
A classification of the harmonic frames up to unitary equivalence. Zbl 1211.42028
Chien, Tuan-Yow; Waldron, Shayne
2011
Frames for vector spaces and affine spaces. Zbl 1214.15003
Waldron, Shayne
2011
Affine generalised barycentric coordinates. Zbl 1258.41014
Waldron, Shayne
2011
Recursive three-term recurrence relations for the Jacobi polynomials on a triangle. Zbl 1247.33023
Waldron, Shayne
2011
On the convergence of optimal measures. Zbl 1217.32012
Bloom, T.; Bos, L.; Levenberg, N.; Waldron, S.
2010
The symmetry group of a finite frame. Zbl 1188.42015
Vale, Richard; Waldron, Shayne
2010
On the construction of equiangular frames from graphs. Zbl 1216.05079
Waldron, Shayne
2009
Increasing the polynomial reproduction of a quasi-interpolation operator. Zbl 1181.41009
Waldron, Shayne
2009
Continuous and discrete tight frames of orthogonal polynomials for a radially symmetric weight. Zbl 1180.33011
Waldron, Shayne
2009
Tight frames generated by finite nonabelian groups. Zbl 1152.42011
Vale, Richard; Waldron, Shayne
2008
On the spacing of Fekete points for a sphere, ball or simplex. Zbl 1161.41001
Bos, Len; Levenberg, Norm; Waldron, Shayne
2008
Pseudometrics, distances and multivariate polynomial inequalities. Zbl 1154.41007
Bos, Len; Levenberg, Norm; Waldron, Shayne
2008
Orthogonal polynomials on the disc. Zbl 1132.33317
Waldron, Shayne
2008
Scattered data interpolation by box splines. Zbl 1167.65330
Shen, Zouwei; Waldron, Shayne
2008
Some remarks on Heisenberg frames and sets of equiangular lines. Zbl 1200.05047
Bos, Len; Waldron, Shayne
2007
Hermite polynomials on the plane. Zbl 1122.33006
Waldron, Shayne
2007
On computing all harmonic frames of $$n$$ vectors in $$\mathbb {C}^d$$. Zbl 1104.94003
Waldron, Shayne; Hay, Nick
2006
On the Bernstein–Bézier form of Jacobi polynomials on a simplex. Zbl 1098.33008
Waldron, Shayne
2006
Tight frames and their symmetries. Zbl 1059.42026
Vale, Richard; Waldron, Shayne
2005
Metrics associated to multivariate polynomial inequalities. Zbl 1068.41022
Bos, Len; Levenberg, Norm; Waldron, Shayne
2004
The vertices of the Platonic solids are tight frames. Zbl 1055.42020
Vale, Richard; Waldron, Shayne
2004
Generalized Welch bound equality sequences are tight frames. Zbl 1301.94030
Waldron, Shayne
2003
A generalised beta integral and the limit of the Bernstein–Durrmeyer operator with Jacobi weights. Zbl 1024.41014
Waldron, Shayne
2003
Signed frames and Hadamard products of Gram matrices. Zbl 0999.05014
Peng, Irine; Waldron, Shayne
2002
The diagonalisation of the multivariate Bernstein operator. Zbl 1020.41008
Cooper, Shaun; Waldron, Shayne
2002
Isometric tight frames. Zbl 1015.42024
Reams, Robert; Waldron, Shayne
2002
The eigenstructure of the Bernstein operator. Zbl 0963.41006
Cooper, Shaun; Waldron, Shayne
2000
Refinements of the Peano kernel theorem. Zbl 0956.41016
Waldron, Shayne
1999
The error in linear interpolation at the vertices of a simplex. Zbl 0924.41007
Waldron, Shayne
1998
Multipoint Taylor formulae. Zbl 0956.41019
Waldron, Shayne
1998
Sharp error estimates for multivariate positive linear operators. Zbl 0923.41014
Waldron, Shayne
1998
Integral error formulae for the scale of mean value interpolations which includes Kergin and Hakopian interpolation. Zbl 0892.41002
Waldron, Shayne
1997
$$L_p$$-error bounds for Hermite interpolation and the associated Wirtinger inequalities. Zbl 0894.41015
Waldron, S.
1997
Schmidt’s inequality. Zbl 0894.41016
Waldron, Shayne
1997
A multivariate form of Hardy’s inequality and $$L_ p$$-error bounds for multivariate Lagrange interpolation schemes. Zbl 0867.41008
Waldron, Shayne
1997
Symmetries of linear functionals. Zbl 1137.46309
Waldron, Shayne
1995
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#### Cited by 322 Authors

 26 Waldron, Shayne F. D. 15 Mixon, Dustin G. 14 Fickus, Matthew C. 13 Rasa, Ioan 10 Jasper, John 10 Ostrovska, Sofiya 9 Vianello, Marco 7 Casazza, Peter George 6 Gonska, Heinz Herbert 5 Bos, Len P. 5 Chien, Tuan-Yow 5 Levenberg, Norman jun. 5 Peterson, Jesse D. 5 Piazzon, Federico 4 Benedetto, John J. 4 Datta, Somantika 4 Heilmann, Margareta 4 Iverson, Joseph W. 4 King, Emily Jeannette 4 Okoudjou, Kasso A. 4 Peña, Juan Manuel 4 Sommariva, Alvise 4 Yu, Wei-Hsuan 3 Acar, Tuncer 3 Appleby, Marcus 3 Aral, Ali 3 Bengtsson, Ingemar 3 Bodmann, Bernhard G. 3 Campiti, Michele 3 Delgado, Jorge F. M. 3 Ehler, Martin 3 Giribet, Juan Ignacio 3 Haas, John I. IV 3 Han, Deguang 3 Mahmudov, Nazim Idrisoglu 3 Martínez Pería, Francisco D. 3 Strawn, Nate 3 Tremain, Janet C. 3 Vale, Richard 2 Agoh, Takashi 2 Balan, Radu V. 2 Berdysheva, Elena E. 2 Bloom, Thomas 2 Cahill, Jameson 2 Calvi, Jean-Paul 2 Calvin, James M. 2 Cao, Xiwang 2 Cárdenas-Morales, Daniel 2 Carnicer, Jésus Miguel 2 Cooper, Shaun 2 den Hertog, Dick 2 Dong, Tian 2 Edidin, Dan 2 Flammia, Steven T. 2 Foucart, Simon 2 Gavrea, Ioan 2 Glazyrin, Alexey 2 Goyeneche, Dardo 2 Griffiths, Robert C. 2 Gupta, Vijay 2 Heath, Robert W. jun. 2 Heineken, Sigrid B. 2 Ivan, Mircea Dumitru 2 Langer, Matthias 2 Li, Huilai 2 Li, Zhe 2 Lin, Yen-chi Roger 2 Luo, Gaojun 2 Maestripieri, Alejandra L. 2 Manté, Claude 2 Massey, Pedro G. 2 Narayan, Akil C. 2 Oldroyd, Jesse 2 Rababah, Abedallah 2 Spanò, Dario 2 Stacey, Blake C. 2 Stănilă, Elena-Dorina 2 Tran, Tin T. 2 Tropp, Joel A. 2 Trunk, Carsten 2 Ward, Rachel A. 2 Watson, Cody E. 2 Wu, Ruifeng 2 Wu, Tieru 2 Xu, Guiqiao 2 Zhang, Shugong 1 Abdollahi, Farshid 1 Abel, Ulrich 1 Acu, Ana Maria 1 Adhikari, Kartick 1 Albanese, Angela Anna 1 Altomare, Francesco 1 Amaral, Marcelo M. 1 Andrews, Travis D. 1 Antoine, Jean-Pierre 1 Ariznabarreta, Gerardo 1 Aschheim, Raymond 1 Bachoc, Christine 1 Baker, Zachery J. 1 Balazs, Peter ...and 222 more Authors
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#### Cited in 89 Serials

 29 Linear Algebra and its Applications 19 Journal of Approximation Theory 16 Applied and Computational Harmonic Analysis 10 Applied Mathematics and Computation 8 Journal of Mathematical Analysis and Applications 8 The Journal of Fourier Analysis and Applications 7 Numerical Functional Analysis and Optimization 6 Journal of Computational and Applied Mathematics 5 Results in Mathematics 5 Constructive Approximation 5 Numerical Algorithms 5 Foundations of Physics 4 Linear and Multilinear Algebra 4 Mathematics of Computation 3 Journal of Mathematical Physics 3 Advances in Mathematics 3 Numerische Mathematik 3 Transactions of the American Mathematical Society 3 Abstract and Applied Analysis 3 Positivity 3 International Journal of Wavelets, Multiresolution and Information Processing 3 Mediterranean Journal of Mathematics 3 Optimization Letters 2 Computers & Mathematics with Applications 2 BIT 2 Calcolo 2 Czechoslovak Mathematical Journal 2 Journal of Functional Analysis 2 Journal of Statistical Planning and Inference 2 Discrete & Computational Geometry 2 Applied Mathematics Letters 2 Mathematical and Computer Modelling 2 SIAM Journal on Discrete Mathematics 2 European Journal of Operational Research 2 Computational Statistics and Data Analysis 2 Journal of Mathematical Sciences (New York) 2 Advances in Computational Mathematics 2 Bernoulli 2 Quantum Information Processing 2 Journal of Physics A: Mathematical and Theoretical 2 Banach Journal of Mathematical Analysis 2 Cryptography and Communications 2 Analysis and Mathematical Physics 2 SIAM Journal on Applied Algebra and Geometry 1 Discrete Mathematics 1 Journal of Computational Physics 1 Mathematical Methods in the Applied Sciences 1 Rocky Mountain Journal of Mathematics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Mathematica 1 Annales Polonici Mathematici 1 Journal of Combinatorial Theory. Series A 1 Journal of Optimization Theory and Applications 1 Mathematics and Computers in Simulation 1 Proceedings of the American Mathematical Society 1 Statistics & Probability Letters 1 Acta Mathematica Hungarica 1 Computer Aided Geometric Design 1 Japan Journal of Industrial and Applied Mathematics 1 Designs, Codes and Cryptography 1 Computational Statistics 1 Annals of Physics 1 SIAM Journal on Mathematical Analysis 1 Indagationes Mathematicae. New Series 1 New Zealand Journal of Mathematics 1 Russian Mathematics 1 Journal of Algebraic Combinatorics 1 Computational and Applied Mathematics 1 ETNA. Electronic Transactions on Numerical Analysis 1 The Electronic Journal of Combinatorics 1 Opuscula Mathematica 1 Electronic Journal of Probability 1 Sbornik: Mathematics 1 Doklady Mathematics 1 Computing and Visualization in Science 1 Integers 1 Journal of Systems Science and Complexity 1 Communications on Pure and Applied Analysis 1 Computational Methods and Function Theory 1 Sampling Theory in Signal and Image Processing 1 Oberwolfach Reports 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Symmetry 1 Information and Inference 1 Forum of Mathematics, Sigma 1 Mathematics 1 Journal of Function Spaces 1 PUMP Journal of Undergraduate Research 1 Annales Henri Lebesgue
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#### Cited in 39 Fields

 91 Harmonic analysis on Euclidean spaces (42-XX) 89 Approximations and expansions (41-XX) 47 Numerical analysis (65-XX) 28 Combinatorics (05-XX) 25 Information and communication theory, circuits (94-XX) 24 Linear and multilinear algebra; matrix theory (15-XX) 23 Functional analysis (46-XX) 22 Operator theory (47-XX) 22 Quantum theory (81-XX) 18 Special functions (33-XX) 17 Convex and discrete geometry (52-XX) 14 Group theory and generalizations (20-XX) 13 Number theory (11-XX) 11 Operations research, mathematical programming (90-XX) 10 Probability theory and stochastic processes (60-XX) 9 Algebraic geometry (14-XX) 9 Statistics (62-XX) 8 Functions of a complex variable (30-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Geometry (51-XX) 5 Real functions (26-XX) 5 Partial differential equations (35-XX) 4 Potential theory (31-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Computer science (68-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Abstract harmonic analysis (43-XX) 3 Differential geometry (53-XX) 2 General and overarching topics; collections (00-XX) 2 Topological groups, Lie groups (22-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Manifolds and cell complexes (57-XX) 1 Biology and other natural sciences (92-XX) 1 Mathematics education (97-XX)