## Byrnes, James S.

Compute Distance To:
 Author ID: byrnes.james-s Published as: Byrnes, J. S.; Byrnes, James S.
 Documents Indexed: 25 Publications since 1969 4 Contributions as Editor Co-Authors: 12 Co-Authors with 15 Joint Publications 205 Co-Co-Authors
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### Co-Authors

 14 single-authored 4 Newman, Donald J. 4 Shisha, Oved 3 Byrnes, Jennifer L. 2 Hargreaves, Kathryn A. 1 Angell, Robert C. 1 Berry, Karl 1 Giroux, Andre 1 Moran, William 1 Podgor, S. 1 Saffari, Bahman 1 Swick, David A. 1 Zachary, Woodford William
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### Serials

 5 Journal of Approximation Theory 3 American Mathematical Monthly 3 NATO ASI Series. Series C. Mathematical and Physical Sciences 2 Bulletin of the London Mathematical Society 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 1 IEEE Transactions on Reliability 1 Journal of Sound and Vibration 1 Acta Arithmetica 1 Journal of Combinatorial Theory. Series A 1 IEEE Transactions on Acoustics, Speech, and Signal Processing 1 SIAM Review 1 Scientia. Series A: Mathematical Sciences 1 Applied and Computational Harmonic Analysis 1 The Journal of Fourier Analysis and Applications 1 Proceedings of the Cambridge Philosophical Society 1 NATO Science Series II: Mathematics, Physics and Chemistry
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### Fields

 9 Harmonic analysis on Euclidean spaces (42-XX) 6 Approximations and expansions (41-XX) 4 General and overarching topics; collections (00-XX) 4 Number theory (11-XX) 4 Information and communication theory, circuits (94-XX) 3 Abstract harmonic analysis (43-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Operations research, mathematical programming (90-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

14 Publications have been cited 38 times in 35 Documents Cited by Year
On polynomials with coefficients of modulus one. Zbl 0364.30004
Byrnes, J. S.
1977
Quadrature mirror filters, low crest factor arrays, functions achieving optimal uncertainty principle bounds, and complete orthonormal sequences – a unified approach. Zbl 0802.42023
Byrnes, J. S.
1994
The $$L^ 4$$ norm of a polynomial with coefficients $$\pm 1$$. Zbl 0722.11018
Newmann, Donald J.; Byrnes, J. S.
1990
Completeness preserving multipliers. Zbl 0183.33303
Byrnes, J. S.; Newman, D. J.
1969
Uniqueness theorem for convolution-type equations. Zbl 0175.40701
Byrnes, J. S.; Newman, D. J.
1969
Instant Walsh functions. Zbl 0202.06502
Byrnes, J. S.; Swick, D. A.
1970
On a partition problem of Frobenius. Zbl 0291.10013
Byrnes, J. S.
1974
The order of magnitude of functions of a positive variable and their degree of approximation by piecewise interpolating polynomials. Zbl 0529.41006
Byrnes, J. S.; Shisha, O.
1980
Riemann sums and improper integrals of step functions related to the prime number theorem. Zbl 0536.26005
Byrnes, J. S.; Giroux, A.; Shisha, O.
1984
A lower Jackson bound on $$(-\infty, \infty)$$. Zbl 0201.39501
Byrnes, J. S.; Newman, D. J.
1970
Recent advances in Fourier analysis and its applications. Proceedings of the NATO Advanced Study Institute, Il Ciocco, Italy, July 16-19, 1989. Zbl 0712.00014
1990
Complete multipliers. Zbl 0234.42007
Byrnes, J. S.
1973
Functions which multiply bases. Zbl 0262.46029
Byrnes, J. S.
1972
Smooth PONS. Zbl 0984.42018
Byrnes, J. S.; Moran, W.; Saffari, B.
2000
Smooth PONS. Zbl 0984.42018
Byrnes, J. S.; Moran, W.; Saffari, B.
2000
Quadrature mirror filters, low crest factor arrays, functions achieving optimal uncertainty principle bounds, and complete orthonormal sequences – a unified approach. Zbl 0802.42023
Byrnes, J. S.
1994
The $$L^ 4$$ norm of a polynomial with coefficients $$\pm 1$$. Zbl 0722.11018
Newmann, Donald J.; Byrnes, J. S.
1990
Recent advances in Fourier analysis and its applications. Proceedings of the NATO Advanced Study Institute, Il Ciocco, Italy, July 16-19, 1989. Zbl 0712.00014
1990
Riemann sums and improper integrals of step functions related to the prime number theorem. Zbl 0536.26005
Byrnes, J. S.; Giroux, A.; Shisha, O.
1984
The order of magnitude of functions of a positive variable and their degree of approximation by piecewise interpolating polynomials. Zbl 0529.41006
Byrnes, J. S.; Shisha, O.
1980
On polynomials with coefficients of modulus one. Zbl 0364.30004
Byrnes, J. S.
1977
On a partition problem of Frobenius. Zbl 0291.10013
Byrnes, J. S.
1974
Complete multipliers. Zbl 0234.42007
Byrnes, J. S.
1973
Functions which multiply bases. Zbl 0262.46029
Byrnes, J. S.
1972
Instant Walsh functions. Zbl 0202.06502
Byrnes, J. S.; Swick, D. A.
1970
A lower Jackson bound on $$(-\infty, \infty)$$. Zbl 0201.39501
Byrnes, J. S.; Newman, D. J.
1970
Completeness preserving multipliers. Zbl 0183.33303
Byrnes, J. S.; Newman, D. J.
1969
Uniqueness theorem for convolution-type equations. Zbl 0175.40701
Byrnes, J. S.; Newman, D. J.
1969
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### Cited by 49 Authors

 5 Borwein, Peter Benjamin 4 Byrnes, James S. 2 Choi, Kwok-Kwong Stephen 2 Erdélyi, Tamás 2 Nikol’skiĭ, Nikolaĭ Kapitonovich 2 Powell, Alexander M. 2 Schmidt, Kai-Uwe 1 Abdollahi, Farshid 1 Balashov, Leonid Alekseevich 1 Balister, Paul N. 1 Benke, George 1 Berend, Daniel 1 Bollobás, Béla 1 Cheshmavar, Jahangir 1 Coifman, Ronald Raphaël 1 Folland, Gerald B. 1 Gallagher, Patrick X. 1 Geshwind, Frank B. 1 Glass, Darren B. 1 Golan, Shahar 1 Heil, Christopher E. 1 Jaming, Philippe 1 Jedwab, Jonathan 1 Karlsson, Stefan 1 Katz, Daniel J. 1 La Cour-Harbo, Anders 1 Lepson, Benjamin 1 Levizov, S. V. 1 Lockhart, Richard A. 1 Meyer, Yves F. 1 Mhaskar, Hrushikesh N. 1 Moran, William 1 Morris, Robert D. 1 Mossinghoff, Michael J. 1 Newman, Donald J. 1 Prikhod’ko, Aleksandr A. 1 Ramsey, L. Thomas 1 Rubinstein, Aleksandr Iosifovich 1 Rzeszotnik, Ziemowit 1 Saffari, Bahman 1 Sahasrabudhe, Julian 1 Selvaraj, Suguna 1 Shisha, Oved 1 Sitaram, Alladi 1 Spaeth, Anneliese H. 1 Taghavi, Mohsen 1 Tiba, Marius 1 Vizvári, Béla 1 Wells, Benjamin B. jun.
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### Cited in 20 Serials

 4 Proceedings of the American Mathematical Society 4 Transactions of the American Mathematical Society 3 Journal of Approximation Theory 3 Journal of Soviet Mathematics 2 Journal of Mathematical Analysis and Applications 2 Mathematics of Computation 2 Applied and Computational Harmonic Analysis 2 The Journal of Fourier Analysis and Applications 1 Mathematical Notes 1 Periodica Mathematica Hungarica 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Glasgow Mathematical Journal 1 Journal of Functional Analysis 1 Circuits, Systems, and Signal Processing 1 Designs, Codes and Cryptography 1 Indagationes Mathematicae. New Series 1 Sbornik: Mathematics 1 Annals of Mathematics. Second Series 1 Central European Journal of Mathematics
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### Cited in 19 Fields

 17 Harmonic analysis on Euclidean spaces (42-XX) 10 Number theory (11-XX) 6 Functions of a complex variable (30-XX) 5 Real functions (26-XX) 5 Approximations and expansions (41-XX) 5 Information and communication theory, circuits (94-XX) 3 Abstract harmonic analysis (43-XX) 3 Functional analysis (46-XX) 2 Special functions (33-XX) 2 Operator theory (47-XX) 2 Numerical analysis (65-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX)