Edit Profile (opens in new tab) Byrnes, James S. Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 0364.30004Byrnes, J. S. 7 1977 Quadrature mirror filters, low crest factor arrays, functions achieving optimal uncertainty principle bounds, and complete orthonormal sequences – a unified approach. Zbl 0802.42023Byrnes, J. S. 7 1994 The \(L^ 4\) norm of a polynomial with coefficients \(\pm 1\). Zbl 0722.11018Newmann, Donald J.; Byrnes, J. S. 7 1990 Completeness preserving multipliers. Zbl 0183.33303Byrnes, J. S.; Newman, D. J. 4 1969 Uniqueness theorem for convolution-type equations. Zbl 0175.40701Byrnes, J. S.; Newman, D. J. 2 1969 Instant Walsh functions. Zbl 0202.06502Byrnes, J. S.; Swick, D. A. 2 1970 On a partition problem of Frobenius. Zbl 0291.10013Byrnes, J. S. 2 1974 The order of magnitude of functions of a positive variable and their degree of approximation by piecewise interpolating polynomials. Zbl 0529.41006Byrnes, J. S.; Shisha, O. 1 1980 Riemann sums and improper integrals of step functions related to the prime number theorem. Zbl 0536.26005Byrnes, J. S.; Giroux, A.; Shisha, O. 1 1984 A lower Jackson bound on \((-\infty, \infty)\). Zbl 0201.39501Byrnes, J. S.; Newman, D. J. 1 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 1 1990 Complete multipliers. Zbl 0234.42007Byrnes, J. S. 1 1973 Functions which multiply bases. Zbl 0262.46029Byrnes, J. S. 1 1972 Smooth PONS. Zbl 0984.42018Byrnes, J. S.; Moran, W.; Saffari, B. 1 2000 Smooth PONS. Zbl 0984.42018Byrnes, J. S.; Moran, W.; Saffari, B. 1 2000 Quadrature mirror filters, low crest factor arrays, functions achieving optimal uncertainty principle bounds, and complete orthonormal sequences – a unified approach. Zbl 0802.42023Byrnes, J. S. 7 1994 The \(L^ 4\) norm of a polynomial with coefficients \(\pm 1\). Zbl 0722.11018Newmann, Donald J.; Byrnes, J. S. 7 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 1 1990 Riemann sums and improper integrals of step functions related to the prime number theorem. Zbl 0536.26005Byrnes, J. S.; Giroux, A.; Shisha, O. 1 1984 The order of magnitude of functions of a positive variable and their degree of approximation by piecewise interpolating polynomials. Zbl 0529.41006Byrnes, J. S.; Shisha, O. 1 1980 On polynomials with coefficients of modulus one. Zbl 0364.30004Byrnes, J. S. 7 1977 On a partition problem of Frobenius. Zbl 0291.10013Byrnes, J. S. 2 1974 Complete multipliers. Zbl 0234.42007Byrnes, J. S. 1 1973 Functions which multiply bases. Zbl 0262.46029Byrnes, J. S. 1 1972 Instant Walsh functions. Zbl 0202.06502Byrnes, J. S.; Swick, D. A. 2 1970 A lower Jackson bound on \((-\infty, \infty)\). Zbl 0201.39501Byrnes, J. S.; Newman, D. J. 1 1970 Completeness preserving multipliers. Zbl 0183.33303Byrnes, J. S.; Newman, D. J. 4 1969 Uniqueness theorem for convolution-type equations. Zbl 0175.40701Byrnes, J. S.; Newman, D. J. 2 1969 all cited Publications top 5 cited Publications all top 5 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. all top 5 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 all top 5 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) Citations by Year