David Slepian - Author Profile

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Slepian, David

Author ID:	slepian.david
Published as:	Slepian, D.; Slepian, David
External Links:	Wikidata · GND · IdRef

Documents Indexed:	36 Publications since 1953
	1 Contribution as Editor
Co-Authors:	12 Co-Authors with 15 Joint Publications
	374 Co-Co-Authors

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

11	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	Integral equations (45-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	Biology and other natural sciences (92-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

31 Publications have been cited 1,139 times in 740 Documents	Cited by ▼	Year ▼
Prolate spheroidal wave functions, Fourier analysis and uncertainty. I. Zbl 0184.08601 Slepian, D.; Pollak, H. O.	305	1961
Prolate spheroidal wave functions, Fourier analysis and uncertainty. IV: Extensions to many dimensions; generalized prolate spheroidal functions. Zbl 0184.08604 Slepian, D.	184	1964
Prolate spheroidal wave functions, Fourier analysis, and uncertainty - V: The discrete case. Zbl 0378.33006 Slepian, D.	155	1978
Some comments on Fourier analysis, uncertainty and modeling. Zbl 0571.94004 Slepian, David	149	1983
Some asymptotique expansions for prolate spheroidal wave functions. Zbl 0128.29601 Slepian, D.	66	1965
Noiseless coding of correlated information sources. Zbl 0259.94008 Slepian, David; Wolf, Jack K.	65	1973
First passage time for a particular Gaussian process. Zbl 0113.12403 Slepian, D.	37	1961
On the symmetrized Kronecker power of a matrix and extensions of Mehler’s formula for Hermite polynomials. Zbl 0222.33016 Slepian, David	26	1972
On the number of symmetry types of Boolean functions of \(n\) variables. Zbl 0051.24802 Slepian, David	22	1953
Large excursions of Gaussian processes. Zbl 0089.34101 Kac, Mark; Slepian, David	22	1959
Group codes for the Gaussian channel. Zbl 0157.49201 Slepian, D.	19	1968
Eigenvalues associated with prolate spheroidal wave functions of zero order. Zbl 0135.37701 Slepian, D.; Sonnenblick, E.	17	1965
On the zeros of Gaussian noise. Zbl 0139.34101 Slepian, D.	14	1963
\(N\)-th order Markov chains with every \(N\) variables independent. Zbl 0154.43103 Rosenblatt, M.; Slepian, D.	9	1962
A coding theorem for multiple access channels with correlated sources. Zbl 0273.94010 Slepian, David; Wolf, Jack Keil	8	1973
First-passage time for a particular stationary periodic Gaussian process. Zbl 0335.60028 Shepp, L. A.; Slepian, D.	7	1976
On prediction of moving-average processes. Zbl 0438.62073 Shepp, L. A.; Slepian, D.; Wyner, A. D.	5	1980
The content of some extreme simplexes. Zbl 0174.25402 Slepian, D.	4	1969
Estimation of signal parameters in the presence of noise. Zbl 0058.35702 Slepian, D.	4	1954
Some comments on the detection of Gaussian signals in Gaussian noise. Zbl 0112.09201 Slepian, D.	3	1958
The distribution of quadratic forms in normal variates: A small sample theory with applications to spectral analysis. Zbl 0097.33801 Grenander, Ulf; Pollak, H. O.; Slepian, D.	3	1959
Key papers in the development of information theory. Zbl 0910.94002	2	1974
On neighbor distance and symmetry in group codes. Zbl 0222.94007 Slepian, David	2	1971
Information theory in the fifties. Zbl 0249.01011 Slepian, David	2	1973
A note on the eigenvalues of Hermitian matrices. Zbl 0376.15011 Slepian, David; Landau, Henry J.	2	1978
Estimation of the Gauss-Markov process from observation of its sign. Zbl 0511.62095 Slepian, David	2	1983
On the optimality of the regular simplex code. Zbl 0143.41503 Landau, H. J.; Slepian, D.	1	1966
On maxentropic discrete stationary processes. Zbl 0239.60037 Slepian, D.	1	1972
A numerical method for determining the eigenvalues and eigenfunctions of analytic kernels. Zbl 0176.16203 Slepian, D.	1	1968
Four integral equations of detection theory. Zbl 0187.41702 Slepian, D.; Kadota, T. T.	1	1969
Solution of certain integral equations with difference kernels. Zbl 0483.65075 Slepian, David	1	1982
Some comments on Fourier analysis, uncertainty and modeling. Zbl 0571.94004 Slepian, David	149	1983
Estimation of the Gauss-Markov process from observation of its sign. Zbl 0511.62095 Slepian, David	2	1983
Solution of certain integral equations with difference kernels. Zbl 0483.65075 Slepian, David	1	1982
On prediction of moving-average processes. Zbl 0438.62073 Shepp, L. A.; Slepian, D.; Wyner, A. D.	5	1980
Prolate spheroidal wave functions, Fourier analysis, and uncertainty - V: The discrete case. Zbl 0378.33006 Slepian, D.	155	1978
A note on the eigenvalues of Hermitian matrices. Zbl 0376.15011 Slepian, David; Landau, Henry J.	2	1978
First-passage time for a particular stationary periodic Gaussian process. Zbl 0335.60028 Shepp, L. A.; Slepian, D.	7	1976
Key papers in the development of information theory. Zbl 0910.94002	2	1974
Noiseless coding of correlated information sources. Zbl 0259.94008 Slepian, David; Wolf, Jack K.	65	1973
A coding theorem for multiple access channels with correlated sources. Zbl 0273.94010 Slepian, David; Wolf, Jack Keil	8	1973
Information theory in the fifties. Zbl 0249.01011 Slepian, David	2	1973
On the symmetrized Kronecker power of a matrix and extensions of Mehler’s formula for Hermite polynomials. Zbl 0222.33016 Slepian, David	26	1972
On maxentropic discrete stationary processes. Zbl 0239.60037 Slepian, D.	1	1972
On neighbor distance and symmetry in group codes. Zbl 0222.94007 Slepian, David	2	1971
The content of some extreme simplexes. Zbl 0174.25402 Slepian, D.	4	1969
Four integral equations of detection theory. Zbl 0187.41702 Slepian, D.; Kadota, T. T.	1	1969
Group codes for the Gaussian channel. Zbl 0157.49201 Slepian, D.	19	1968
A numerical method for determining the eigenvalues and eigenfunctions of analytic kernels. Zbl 0176.16203 Slepian, D.	1	1968
On the optimality of the regular simplex code. Zbl 0143.41503 Landau, H. J.; Slepian, D.	1	1966
Some asymptotique expansions for prolate spheroidal wave functions. Zbl 0128.29601 Slepian, D.	66	1965
Eigenvalues associated with prolate spheroidal wave functions of zero order. Zbl 0135.37701 Slepian, D.; Sonnenblick, E.	17	1965
Prolate spheroidal wave functions, Fourier analysis and uncertainty. IV: Extensions to many dimensions; generalized prolate spheroidal functions. Zbl 0184.08604 Slepian, D.	184	1964
On the zeros of Gaussian noise. Zbl 0139.34101 Slepian, D.	14	1963
\(N\)-th order Markov chains with every \(N\) variables independent. Zbl 0154.43103 Rosenblatt, M.; Slepian, D.	9	1962
Prolate spheroidal wave functions, Fourier analysis and uncertainty. I. Zbl 0184.08601 Slepian, D.; Pollak, H. O.	305	1961
First passage time for a particular Gaussian process. Zbl 0113.12403 Slepian, D.	37	1961
Large excursions of Gaussian processes. Zbl 0089.34101 Kac, Mark; Slepian, David	22	1959
The distribution of quadratic forms in normal variates: A small sample theory with applications to spectral analysis. Zbl 0097.33801 Grenander, Ulf; Pollak, H. O.; Slepian, D.	3	1959
Some comments on the detection of Gaussian signals in Gaussian noise. Zbl 0112.09201 Slepian, D.	3	1958
Estimation of signal parameters in the presence of noise. Zbl 0058.35702 Slepian, D.	4	1954
On the number of symmetry types of Boolean functions of \(n\) variables. Zbl 0051.24802 Slepian, David	22	1953

all cited Publications top 5 cited Publications

all top 5

Cited by 1,040 Authors

24	Grünbaum, Francisco Alberto
18	Mejjaoli, Hatem
17	Karoui, Abderrazek
14	Vinet, Luc
12	Lakey, Joseph D.
11	Hogan, Jeffrey A.
9	Crampé, Nicolas
9	Eisler, Viktor
9	Lindgren, Georg
8	Bonami, Aline
8	Huybrechs, Daan
8	Jaming, Philippe
8	Morais, João Pedro
7	Beylkin, Gregory
7	Ismail, Mourad El-Houssieny
7	Romero, José Luis
7	Walter, Gilbert G.
7	Wang, Lilian
6	Meng, Shixu
6	Peschel, Ingo
6	Rokhlin, Vladimir
6	Zhang, Jing
6	Zhedanov, Alexei S.
5	Bernard, Pierre-Antoine
5	Boyd, John Philip
5	Gröchenig, Karlheinz
5	Kou, Kit-Ian
5	Noonan, Jack
5	SenGupta, Indranil
5	Shkolnisky, Yoel
5	Singer, Amit
5	Speckbacher, Michael
5	Trimèche, Khalifa
5	Zhigljavsky, Anatoly A.
5	Zurrián, Ignacio Nahuel
4	Bergeron, Geoffroy
4	Boulsane, Mourad
4	Casper, W. Riley
4	Castro, Mirta M.
4	Connes, Alain
4	Davenport, Mark A.
4	Fernandez-Granda, Carlos
4	Gosse, Laurent
4	Isaev, Mikhail Ismailovitch
4	Landa, Boris
4	Moumni, Tahar
4	Musatov, Daniil
4	Novikov, Roman G.
4	Osipov, Andreĭ V.
4	Poria, Anirudha
4	Sandberg, Kristian
4	Souabni, Ahmed
4	Tonni, Erik
4	Widom, Harold
4	Yakimov, Milen T.
3	Abrahams, Julia
3	Adcock, Ben
3	Barnett, Alex H.
3	Batenkov, Dmitry
3	Benedetto, John Joseph
3	Bourguiba, NourElHouda
3	Burr, Wesley S.
3	Consani, Caterina
3	Coppé, Vincent
3	Costa, Sueli Irene Rodrigues
3	Deift, Percy A.
3	Deng, Pingjin
3	Erb, Wolfgang
3	Goldman, Gil
3	Hsieh, Min-Hsiu
3	Kowalski, Marek A.
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	Nicola, Fabio
3	Pérez-de La Rosa, Marco Antonio
3	Romashchenko, Andrei
3	Romberg, Justin K.
3	Rosenblatt, Murray
3	Shen, Xiaoping
3	Shin, Hwashin H.
3	Simons, Frederik J.
3	Sobolev, Alexander V.
3	Sraieb, Nadia
3	Strapasson, João Eloir
3	Tan, Zhongquan
3	Teofanov, Nenad
3	Wakin, Michael B.
3	Zhang, Bo
3	Zhang, Zhimin
2	Abouelaz, Ahmed
2	Abreu, Luís Daniel
2	Achak, Azzedine
2	Ahlswede, Rudolf
2	Aimi, Alessandra
2	Aldroubi, Akram
...and 940 more Authors

all top 5

Cited in 273 Serials

48	Applied and Computational Harmonic Analysis
25	The Journal of Fourier Analysis and Applications
22	Journal of Mathematical Analysis and Applications
20	Journal of Mathematical Physics
13	Inverse Problems
13	Journal of Computational Physics
13	Stochastic Processes and their Applications
11	Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
11	Linear Algebra and its Applications
10	Communications in Mathematical Physics
10	Mathematical Methods in the Applied Sciences
9	Journal of the Franklin Institute
9	Integral Equations and Operator Theory
9	Statistics & Probability Letters
9	Signal Processing
9	SIAM Journal on Imaging Sciences
8	Numerical Functional Analysis and Optimization
8	Integral Transforms and Special Functions
8	Quantum Information Processing
8	Journal of Statistical Mechanics: Theory and Experiment
7	Journal of Computational and Applied Mathematics
6	Journal of Functional Analysis
6	Advances in Applied Mathematics
6	Journal of Scientific Computing
6	Journal of Pseudo-Differential Operators and Applications
5	Numerische Mathematik
5	Proceedings of the American Mathematical Society
5	Studies in Applied Mathematics
5	Transactions of the American Mathematical Society
5	Constructive Approximation
5	SIAM Journal on Applied Mathematics
5	Journal of Physics A: Mathematical and Theoretical
4	Communications on Pure and Applied Mathematics
4	Physics Letters. A
4	Mathematics of Computation
4	Journal of Approximation Theory
4	Journal of Multivariate Analysis
4	SIAM Journal on Numerical Analysis
4	SIAM Journal on Algebraic and Discrete Methods
4	SIAM Review
4	Theory of Computing Systems
4	Journal of Modern Optics
4	Sampling Theory in Signal and Image Processing
4	International Journal of Wavelets, Multiresolution and Information Processing
3	Biological Cybernetics
3	Computer Physics Communications
3	Wave Motion
3	Applied Mathematics and Computation
3	Automatica
3	Journal of Statistical Planning and Inference
3	Kybernetika
3	Circuits, Systems, and Signal Processing
3	Physica D
3	Journal of Complexity
3	Statistical Science
3	Journal of Theoretical Probability
3	Journal of Integral Equations and Applications
3	The Journal of Geometric Analysis
3	Designs, Codes and Cryptography
3	Numerical Algorithms
3	SIAM Journal on Scientific Computing
3	Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
3	Econometric Theory
3	Science in China. Series F
3	Foundations and Trends in Communications and Information Theory
3	Analysis and Mathematical Physics
2	Applicable Analysis
2	Computers & Mathematics with Applications
2	Discrete Applied Mathematics
2	General Relativity and Gravitation
2	Israel Journal of Mathematics
2	Journal of Fluid Mechanics
2	Letters in Mathematical Physics
2	Nuclear Physics. B
2	Problems of Information Transmission
2	Illinois Journal of Mathematics
2	Information Sciences
2	Journal of Combinatorial Theory. Series A
2	Journal of Mathematical Psychology
2	Journal of Soviet Mathematics
2	Results in Mathematics
2	SIAM Journal on Computing
2	Journal of Time Series Analysis
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	Annals of Physics
2	Automation and Remote Control
2	L’Enseignement Mathématique. 2e Série
2	Advances in Computational Mathematics
2	Boletín de la Sociedad Matemática Mexicana. Third Series
2	Journal of Nonparametric Statistics
2	New Journal of Physics
2	Extremes
2	Journal of High Energy Physics
2	Methodology and Computing in Applied Probability
2	Physical Review Letters
2	Entropy
...and 173 more Serials

all top 5

Cited in 56 Fields

194	Information and communication theory, circuits (94-XX)
175	Harmonic analysis on Euclidean spaces (42-XX)
142	Numerical analysis (65-XX)
119	Special functions (33-XX)
101	Probability theory and stochastic processes (60-XX)
76	Statistics (62-XX)
71	Quantum theory (81-XX)
60	Operator theory (47-XX)
50	Partial differential equations (35-XX)
43	Integral equations (45-XX)
41	Approximations and expansions (41-XX)
40	Computer science (68-XX)
35	Integral transforms, operational calculus (44-XX)
33	Ordinary differential equations (34-XX)
30	Linear and multilinear algebra; matrix theory (15-XX)
26	Combinatorics (05-XX)
23	Abstract harmonic analysis (43-XX)
23	Biology and other natural sciences (92-XX)
19	Systems theory; control (93-XX)
18	Optics, electromagnetic theory (78-XX)
18	Statistical mechanics, structure of matter (82-XX)
17	Functional analysis (46-XX)
16	Operations research, mathematical programming (90-XX)
13	Number theory (11-XX)
13	Functions of a complex variable (30-XX)
11	Fluid mechanics (76-XX)
10	Dynamical systems and ergodic theory (37-XX)
10	Geophysics (86-XX)
9	Convex and discrete geometry (52-XX)
9	Global analysis, analysis on manifolds (58-XX)
9	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
7	Real functions (26-XX)
6	History and biography (01-XX)
6	Geometry (51-XX)
6	Differential geometry (53-XX)
6	Mechanics of deformable solids (74-XX)
6	Relativity and gravitational theory (83-XX)
5	Algebraic geometry (14-XX)
5	Calculus of variations and optimal control; optimization (49-XX)
4	Order, lattices, ordered algebraic structures (06-XX)
4	Associative rings and algebras (16-XX)
4	Topological groups, Lie groups (22-XX)
4	Mechanics of particles and systems (70-XX)
3	Group theory and generalizations (20-XX)
3	Difference and functional equations (39-XX)
2	Commutative algebra (13-XX)
2	Nonassociative rings and algebras (17-XX)
2	Several complex variables and analytic spaces (32-XX)
2	Astronomy and astrophysics (85-XX)
1	General and overarching topics; collections (00-XX)
1	Mathematical logic and foundations (03-XX)
1	Field theory and polynomials (12-XX)
1	\(K\)-theory (19-XX)
1	Measure and integration (28-XX)
1	Algebraic topology (55-XX)
1	Classical thermodynamics, heat transfer (80-XX)

Citations by Year

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