Edit Profile Slepian, David Compute Distance To: Compute Author ID: slepian.david Published as: Slepian, D.; Slepian, David External Links: Wikidata Documents Indexed: 37 Publications since 1953, including 1 Book all top 5 Co-Authors 22 single-authored 2 Landau, Henry Jacob 2 Pollak, Henry O. 2 Shepp, Lawrence Alan 2 Wolf, Jack Keil 2 Wyner, Aaron D. 1 Gaarder, N. Thomas 1 Gilbert, Edgar Nelson 1 Grenander, Ulf 1 Kac, Mark 1 Kadota, T. T. 1 Rosenblatt, Murray 1 Sonnenblick, E. all top 5 Serials 10 Bell System Technical Journal 5 IEEE Transactions on Information Theory 3 SIAM Journal on Mathematical Analysis 2 SIAM Journal on Numerical Analysis 2 Journal of the Society for Industrial & Applied Mathematics 2 Il Nuovo Cimento, Supplemento, X. Series 2 Annals of Mathematical Statistics 1 Canadian Journal of Mathematics 1 Journal of Applied Probability 1 Pacific Journal of Mathematics 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Stochastic Processes and their Applications 1 Journal of Mathematics and Physics 1 IRE Transactions on Information Theory all top 5 Fields 10 Information and communication theory, circuits (94-XX) 4 Special functions (33-XX) 3 Probability theory and stochastic processes (60-XX) 2 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Statistics (62-XX) 2 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Integral equations (45-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 30 Publications have been cited 857 times in 574 Documents Cited by ▼ Year ▼ Prolate spheroidal wave functions, Fourier analysis and uncertainty. I. Zbl 0184.08601Slepian, D.; Pollak, H. O. 219 1961 Prolate spheroidal wave functions, Fourier analysis and uncertainty. IV: Extensions to many dimensions; generalized prolate spheroidal functions. Zbl 0184.08604Slepian, D. 135 1964 Prolate spheroidal wave functions, Fourier analysis, and uncertainty - V: The discrete case. Zbl 0378.33006Slepian, D. 107 1978 Some comments on Fourier analysis, uncertainty and modeling. Zbl 0571.94004Slepian, David 101 1983 Noiseless coding of correlated information sources. Zbl 0259.94008Slepian, David; Wolf, Jack K. 50 1973 Some asymptotique expansions for prolate spheroidal wave functions. Zbl 0128.29601Slepian, D. 47 1965 First passage time for a particular Gaussian process. Zbl 0113.12403Slepian, D. 34 1961 On the symmetrized Kronecker power of a matrix and extensions of Mehler’s formula for Hermite polynomials. Zbl 0222.33016Slepian, David 22 1972 Large excursions of Gaussian processes. Zbl 0089.34101Kac, Mark; Slepian, David 22 1959 On the number of symmetry types of Boolean functions of \(n\) variables. Zbl 0051.24802Slepian, David 20 1953 Group codes for the Gaussian channel. Zbl 0157.49201Slepian, D. 18 1968 Eigenvalues associated with prolate spheroidal wave functions of zero order. Zbl 0135.37701Slepian, D.; Sonnenblick, E. 16 1965 \(N\)-th order Markov chains with every \(N\) variables independent. Zbl 0154.43103Rosenblatt, M.; Slepian, D. 11 1962 On the zeros of Gaussian noise. Zbl 0139.34101Slepian, D. 9 1963 First-passage time for a particular stationary periodic Gaussian process. Zbl 0335.60028Shepp, L. A.; Slepian, D. 6 1976 A coding theorem for multiple access channels with correlated sources. Zbl 0273.94010Slepian, David; Wolf, Jack Keil 6 1973 On prediction of moving-average processes. Zbl 0438.62073Shepp, L. A.; Slepian, D.; Wyner, A. D. 5 1980 Information theory in the fifties. Zbl 0249.01011Slepian, David 4 1973 The distribution of quadratic forms in normal variates: A small sample theory with applications to spectral analysis. Zbl 0097.33801Grenander, Ulf; Pollak, H. O.; Slepian, D. 4 1959 Estimation of signal parameters in the presence of noise. Zbl 0058.35702Slepian, D. 4 1954 Some comments on the detection of Gaussian signals in Gaussian noise. Zbl 0112.09201Slepian, D. 3 1958 Estimation of the Gauss-Markov process from observation of its sign. Zbl 0511.62095Slepian, David 2 1983 A note on the eigenvalues of Hermitian matrices. Zbl 0376.15011Slepian, David; Landau, Henry J. 2 1978 Key papers in the development of information theory. Zbl 0910.94002Slepian, David (ed.) 2 1974 On neighbor distance and symmetry in group codes. Zbl 0222.94007Slepian, David 2 1971 The content of some extreme simplexes. Zbl 0174.25402Slepian, D. 2 1969 Solution of certain integral equations with difference kernels. Zbl 0483.65075Slepian, David 1 1982 On maxentropic discrete stationary processes. Zbl 0239.60037Slepian, D. 1 1972 A numerical method for determining the eigenvalues and eigenfunctions of analytic kernels. Zbl 0176.16203Slepian, D. 1 1968 On the optimality of the regular simplex code. Zbl 0143.41503Landau, H. J.; Slepian, D. 1 1966 Some comments on Fourier analysis, uncertainty and modeling. Zbl 0571.94004Slepian, David 101 1983 Estimation of the Gauss-Markov process from observation of its sign. Zbl 0511.62095Slepian, David 2 1983 Solution of certain integral equations with difference kernels. Zbl 0483.65075Slepian, David 1 1982 On prediction of moving-average processes. Zbl 0438.62073Shepp, L. A.; Slepian, D.; Wyner, A. D. 5 1980 Prolate spheroidal wave functions, Fourier analysis, and uncertainty - V: The discrete case. Zbl 0378.33006Slepian, D. 107 1978 A note on the eigenvalues of Hermitian matrices. Zbl 0376.15011Slepian, David; Landau, Henry J. 2 1978 First-passage time for a particular stationary periodic Gaussian process. Zbl 0335.60028Shepp, L. A.; Slepian, D. 6 1976 Key papers in the development of information theory. Zbl 0910.94002Slepian, David (ed.) 2 1974 Noiseless coding of correlated information sources. Zbl 0259.94008Slepian, David; Wolf, Jack K. 50 1973 A coding theorem for multiple access channels with correlated sources. Zbl 0273.94010Slepian, David; Wolf, Jack Keil 6 1973 Information theory in the fifties. Zbl 0249.01011Slepian, David 4 1973 On the symmetrized Kronecker power of a matrix and extensions of Mehler’s formula for Hermite polynomials. Zbl 0222.33016Slepian, David 22 1972 On maxentropic discrete stationary processes. Zbl 0239.60037Slepian, D. 1 1972 On neighbor distance and symmetry in group codes. Zbl 0222.94007Slepian, David 2 1971 The content of some extreme simplexes. Zbl 0174.25402Slepian, D. 2 1969 Group codes for the Gaussian channel. Zbl 0157.49201Slepian, D. 18 1968 A numerical method for determining the eigenvalues and eigenfunctions of analytic kernels. Zbl 0176.16203Slepian, D. 1 1968 On the optimality of the regular simplex code. Zbl 0143.41503Landau, H. J.; Slepian, D. 1 1966 Some asymptotique expansions for prolate spheroidal wave functions. Zbl 0128.29601Slepian, D. 47 1965 Eigenvalues associated with prolate spheroidal wave functions of zero order. Zbl 0135.37701Slepian, D.; Sonnenblick, E. 16 1965 Prolate spheroidal wave functions, Fourier analysis and uncertainty. IV: Extensions to many dimensions; generalized prolate spheroidal functions. Zbl 0184.08604Slepian, D. 135 1964 On the zeros of Gaussian noise. Zbl 0139.34101Slepian, D. 9 1963 \(N\)-th order Markov chains with every \(N\) variables independent. Zbl 0154.43103Rosenblatt, M.; Slepian, D. 11 1962 Prolate spheroidal wave functions, Fourier analysis and uncertainty. I. Zbl 0184.08601Slepian, D.; Pollak, H. O. 219 1961 First passage time for a particular Gaussian process. Zbl 0113.12403Slepian, D. 34 1961 Large excursions of Gaussian processes. Zbl 0089.34101Kac, Mark; Slepian, David 22 1959 The distribution of quadratic forms in normal variates: A small sample theory with applications to spectral analysis. Zbl 0097.33801Grenander, Ulf; Pollak, H. O.; Slepian, D. 4 1959 Some comments on the detection of Gaussian signals in Gaussian noise. Zbl 0112.09201Slepian, D. 3 1958 Estimation of signal parameters in the presence of noise. Zbl 0058.35702Slepian, D. 4 1954 On the number of symmetry types of Boolean functions of \(n\) variables. Zbl 0051.24802Slepian, David 20 1953 all cited Publications top 5 cited Publications all top 5 Cited by 849 Authors 17 Grünbaum, Francisco Alberto 16 Karoui, Abderrazek 12 Mejjaoli, Hatem 8 Lakey, Joseph D. 7 Hogan, Jeffrey A. 7 Lindgren, Georg 7 Morais, João Pedro 7 Walter, Gilbert G. 7 Wang, Lilian 6 Beylkin, Gregory 6 Huybrechs, Daan 6 Ismail, Mourad El-Houssieny 6 Vinet, Luc 6 Zhang, Jing 5 Bonami, Aline 5 Boyd, John Philip 5 Jaming, Philippe 5 Rokhlin, Vladimir 5 SenGupta, Indranil 5 Shkolnisky, Yoel 5 Zhedanov, Alexei S. 4 Gosse, Laurent 4 Gröchenig, Karlheinz 4 Kou, Kit-Ian 4 Moumni, Tahar 4 Musatov, Daniil 4 Osipov, Andreĭ V. 4 Sandberg, Kristian 4 Widom, Harold 3 Abrahams, Julia 3 Adcock, Ben 3 Benedetto, John J. 3 Bergeron, Geoffroy 3 Boulsane, Mourad 3 Costa, Sueli Irene Rodrigues 3 Davenport, Mark A. 3 Deift, Percy A. 3 Deng, Pingjin 3 Eisler, Viktor 3 Erb, Wolfgang 3 Fernandez-Granda, Carlos 3 Kowalski, Marek A. 3 Landa, Boris 3 Landau, Henry Jacob 3 Lederman, Roy R. 3 Li, Xianjin 3 Louis, Alfred Karl 3 Mariani, Maria Cristina 3 Matthysen, Roel 3 Monzón, Lucas 3 Pérez-de La Rosa, Marco Antonio 3 Peschel, Ingo 3 Rosenblatt, Murray 3 Shen, Xiaoping 3 Simons, Frederik J. 3 Sobolev, Alexander V. 3 Souabni, Ahmed 3 Strapasson, João Eloir 3 Tan, Zhongquan 3 Teofanov, Nenad 3 Trimèche, Khalifa 3 Wakin, Michael B. 3 Zhang, Zhimin 2 Ahlswede, Rudolf 2 Aimi, Alessandra 2 Andén, Joakim 2 Andruchow, Esteban 2 Bass, Richard F. 2 Batenkov, Dmitry 2 Ben Arous, Gérard 2 Berta, Mario 2 Bischoff, Wolfgang 2 Boche, Holger 2 Bothner, Thomas 2 Bourguiba, NourElHouda 2 Braverman, Mark 2 Bravo, Teresa 2 Burr, Wesley S. 2 Candès, Emmanuel J. 2 Cao, Jin 2 Castro, Mirta M. 2 Christandl, Matthias 2 Cloizeaux, Jacques des 2 Coifman, Ronald Raphaël 2 Coppé, Vincent 2 Corach, Gustavo 2 Crampé, Nicolas 2 Datta, Nilanjana 2 De Micheli, Enrico 2 Demanet, Laurent 2 Elia, Michele 2 Fauvet, Frédéric 2 Fedele, Francesco 2 Foata, Dominique C. 2 Freeden, Willi 2 Fujishige, Satoru 2 Furrer, Fabian 2 Garnier, Josselin 2 Gegg, Andreas 2 Goldman, Gil ...and 749 more Authors all top 5 Cited in 231 Serials 39 Applied and Computational Harmonic Analysis 20 Journal of Mathematical Analysis and Applications 20 The Journal of Fourier Analysis and Applications 17 Journal of Mathematical Physics 15 Stochastic Processes and their Applications 11 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 11 Linear Algebra and its Applications 10 Journal of Computational Physics 9 Journal of the Franklin Institute 9 Integral Equations and Operator Theory 9 Statistics & Probability Letters 9 Signal Processing 8 Inverse Problems 7 Communications in Mathematical Physics 7 Journal of Computational and Applied Mathematics 7 Numerical Functional Analysis and Optimization 6 Journal of Functional Analysis 6 Advances in Applied Mathematics 6 SIAM Journal on Imaging Sciences 5 Numerische Mathematik 5 Proceedings of the American Mathematical Society 5 Journal of Scientific Computing 5 Integral Transforms and Special Functions 4 Mathematical Methods in the Applied Sciences 4 Mathematics of Computation 4 Journal of Approximation Theory 4 Journal of Multivariate Analysis 4 Studies in Applied Mathematics 4 Transactions of the American Mathematical Society 4 SIAM Journal on Algebraic and Discrete Methods 4 Theory of Computing Systems 4 Journal of Modern Optics 4 International Journal of Wavelets, Multiresolution and Information Processing 4 Journal of Statistical Mechanics: Theory and Experiment 3 Biological Cybernetics 3 Wave Motion 3 Applied Mathematics and Computation 3 Journal of Combinatorial Theory. Series A 3 SIAM Journal on Numerical Analysis 3 Journal of Complexity 3 Constructive Approximation 3 Statistical Science 3 Journal of Theoretical Probability 3 Journal of Integral Equations and Applications 3 Designs, Codes and Cryptography 3 SIAM Journal on Applied Mathematics 3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Econometric Theory 3 Quantum Information Processing 3 Sampling Theory in Signal and Image Processing 3 Science in China. Series F 3 Journal of Pseudo-Differential Operators and Applications 2 Applicable Analysis 2 Computers & Mathematics with Applications 2 Computer Physics Communications 2 Communications on Pure and Applied Mathematics 2 Discrete Applied Mathematics 2 Israel Journal of Mathematics 2 Problems of Information Transmission 2 Automatica 2 Illinois Journal of Mathematics 2 Information Sciences 2 Journal of Mathematical Psychology 2 Journal of Soviet Mathematics 2 Journal of Statistical Planning and Inference 2 Kybernetika 2 Journal of Time Series Analysis 2 Circuits, Systems, and Signal Processing 2 Physica D 2 Applied Numerical Mathematics 2 SIAM Journal on Matrix Analysis and Applications 2 Multidimensional Systems and Signal Processing 2 International Journal of Adaptive Control and Signal Processing 2 The Annals of Applied Probability 2 Automation and Remote Control 2 SIAM Review 2 SIAM Journal on Scientific Computing 2 Physical Review Letters 2 Entropy 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Advances in Mathematics of Communications 2 Electronic Journal of Statistics 2 Science China. Mathematics 2 Science China. Information Sciences 2 Analysis and Mathematical Physics 1 International Journal of Modern Physics B 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Advances in Applied Probability 1 Archive for History of Exact Sciences 1 The Canadian Journal of Statistics 1 Computer Methods in Applied Mechanics and Engineering 1 Discrete Mathematics 1 General Relativity and Gravitation 1 International Journal of Control 1 International Journal of General Systems 1 Indian Journal of Pure & Applied Mathematics 1 International Journal of Systems Science 1 Journal of Applied Mathematics and Mechanics 1 Journal of Engineering Mathematics 1 Journal of Fluid Mechanics ...and 131 more Serials all top 5 Cited in 52 Fields 152 Information and communication theory, circuits (94-XX) 117 Harmonic analysis on Euclidean spaces (42-XX) 109 Numerical analysis (65-XX) 90 Probability theory and stochastic processes (60-XX) 84 Special functions (33-XX) 60 Statistics (62-XX) 45 Operator theory (47-XX) 36 Integral equations (45-XX) 34 Partial differential equations (35-XX) 34 Quantum theory (81-XX) 32 Computer science (68-XX) 30 Approximations and expansions (41-XX) 26 Ordinary differential equations (34-XX) 23 Linear and multilinear algebra; matrix theory (15-XX) 21 Integral transforms, operational calculus (44-XX) 21 Biology and other natural sciences (92-XX) 20 Combinatorics (05-XX) 16 Systems theory; control (93-XX) 14 Abstract harmonic analysis (43-XX) 13 Optics, electromagnetic theory (78-XX) 13 Operations research, mathematical programming (90-XX) 12 Functions of a complex variable (30-XX) 10 Functional analysis (46-XX) 9 Number theory (11-XX) 9 Fluid mechanics (76-XX) 9 Statistical mechanics, structure of matter (82-XX) 9 Geophysics (86-XX) 8 Convex and discrete geometry (52-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 History and biography (01-XX) 6 Mechanics of deformable solids (74-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Geometry (51-XX) 4 Differential geometry (53-XX) 3 Group theory and generalizations (20-XX) 3 Topological groups, Lie groups (22-XX) 3 Relativity and gravitational theory (83-XX) 2 Measure and integration (28-XX) 2 Difference and functional equations (39-XX) 2 Mechanics of particles and systems (70-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Algebraic topology (55-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.