Henry Jacob Landau is an American mathematician

Mathematician

A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....

, known for
his contributions to information theory

Information theory

Information theory is a branch of applied mathematics and electrical engineering involving the quantification of information. Information theory was developed by Claude E. Shannon to find fundamental limits on signal processing operations such as compressing data and on reliably storing and...

, in particular to the theory of bandlimited

Bandlimited

Bandlimiting is the limiting of a deterministic or stochastic signal's Fourier transform or power spectral density to zero above a certain finite frequency...

 functions and on moment

Moment (mathematics)

In mathematics, a moment is, loosely speaking, a quantitative measure of the shape of a set of points. The "second moment", for example, is widely used and measures the "width" of a set of points in one dimension or in higher dimensions measures the shape of a cloud of points as it could be fit by...

 issues.

He received an A.B.

Bachelor of Arts

A Bachelor of Arts , from the Latin artium baccalaureus, is a bachelor's degree awarded for an undergraduate course or program in either the liberal arts, the sciences, or both...

 (1953), A.M.

Master of Arts (postgraduate)

A Master of Arts from the Latin Magister Artium, is a type of Master's degree awarded by universities in many countries. The M.A. is usually contrasted with the M.S. or M.Sc. degrees...

 (1955) and Ph.D.

Ph.D.

A Ph.D. is a Doctor of Philosophy, an academic degree.Ph.D. may also refer to:* Ph.D. , a 1980s British group*Piled Higher and Deeper, a web comic strip*PhD: Phantasy Degree, a Korean comic series* PhD Docbook renderer, an XML renderer...

 (1957) from Harvard University

Harvard University

Harvard University is a private Ivy League university located in Cambridge, Massachusetts, United States, established in 1636 by the Massachusetts legislature. Harvard is the oldest institution of higher learning in the United States and the first corporation chartered in the country...

, the latter on the thesis On Canonical Conformal Maps of Multiply Connected Regions, advised by Lars Ahlfors and Joseph Leonard Walsh

Joseph Leonard Walsh

Joseph Leonard Walsh, was an American mathematician. His work was mainly in the field of analysis.For most of his professional career he studied and worked at Harvard University. He received a B.S. in 1916 and a PhD in 1920. The Advisor of his PhD was Maxime Bôcher...

.

After graduation, Landau eventually became Distinguished Member of Technical Staff at Bell Laboratories, as well as twice visiting member at the Institute for Advanced Study

Institute for Advanced Study

The Institute for Advanced Study, located in Princeton, New Jersey, United States, is an independent postgraduate center for theoretical research and intellectual inquiry. It was founded in 1930 by Abraham Flexner...

 in Princeton

Princeton, New Jersey

Princeton is a community located in Mercer County, New Jersey, United States. It is best known as the location of Princeton University, which has been sited in the community since 1756...

 and adjunct professor at City University of New York

City University of New York

The City University of New York is the public university system of New York City, with its administrative offices in Yorkville in Manhattan. It is the largest urban university in the United States, consisting of 23 institutions: 11 senior colleges, six community colleges, the William E...

, the Chinese University of Hong Kong

Chinese University of Hong Kong

The Chinese University of Hong Kong is a research-led university in Hong Kong.CUHK is the only tertiary education institution in Hong Kong with Nobel Prize winners on its faculty, including Chen Ning Yang, James Mirrlees, Robert Alexander Mundell and Charles K. Kao...

, and Columbia University

Columbia University

Columbia University in the City of New York is a private, Ivy League university in Manhattan, New York City. Columbia is the oldest institution of higher learning in the state of New York, the fifth oldest in the United States, and one of the country's nine Colonial Colleges founded before the...

.

Publications

The following is a list of publications:

1. On Uniform Approximation to Continuous Functions by Rational Functions with Preassigned Poles, H. J. Landau, Proc. Amer. Math. Soc., 5 (1954), pp. 671–676.
2. Operational Requirements for a Collision Warning System, Eduardo I. Pina and H. J. Landau, Operations Research, 5 (1957), pp. 794–814.
3. Some Distortion Theorems for Multivalent Mappings, H. J. Landau and Robert Osserman
   Robert Osserman
   Robert Ossermanis an American mathematician.Raised in Bronx, he went to Bronx High School of Science and New York University.He earned a Ph.D...
   
   , Proc. Amer. Math. Soc., 10 (1959), pp. 87–91.
4. On Canonical Conformal Maps of Multiply Connected Regions, J. L. Walsh and H. J. Landau, Trans. Amer. Math. Soc., 93:1 (October 1959), pp. 81–96.
5. On the Recovery of a Band-Limited Signal, After Instantaneous Companding and Subsequent Band Limiting, H. J. Landau, Bell Sys. Tech. J., 39:2 (March 1960), pp. 351–364.
6. On Analytic Mappings of Riemann Surfaces, R. Osserman and H. J. Landau, J. d'Analyse Mathematique, 7 (1960), pp. 249–279.
7. Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty, II, Henry O. Pollak
   Henry O. Pollak
   Henry Otto Pollak is an Austrian-American mathematician, known for his contributionsto information theory.Born in Vienna, Austria, he since moved to USA. While at Yale University for his B.Sc. in mathematics...
   
    and H. J. Landau, Bell Sys. Tech. J., 40:1 (January 1961), pp. 65–84.
8. The Recovery of Distorted Band-Limited Signals, Willard L. Miranker
   Willard L. Miranker
   Willard L. Miranker was an American mathematician and computer scientist, known for his contributions toapplied mathematics and numerical mathematics.Raised in Brooklyn, New York, he earned B.A. , M.S. and Ph.D...
   
    and H. J. Landau, J. Math. Anal. and Appl., 2:1 (February 1961), pp. 97–104.
9. On Canonical Conformal Maps of Multiply Connected Domains, H. J. Landau, Trans. Amer. Math. Soc., 99:1 (April 1961), pp. 1–20.
10. Prolate Spheroidal Functions, Fourier Analysis and Uncertainty, III. The Dimension of the Space of Essentially Time- and Band-Limited Signals, H. J. Landau and H. O. Pollak, Bell Sys. Tech. J., 41 (July 1962), pp. 1295–1336.
11. A Sparse Regular Sequence of Exponentials Closed on Large Sets, H. J. Landau, Bull. Amer. Math. Soc., 70 (1964), pp. 566–569.
12. The Eigenvalue Behavior of Certain Convolution Equations, H. J. Landau, Trans. Amer. Math. Soc., 115 (March 1965), pp. 242–256.
13. On the Optimality of the Regular Simplex Code, H. J. Landau and David Slepian
    David Slepian
    David S. Slepian was an American mathematician.Born in Pittsburgh, Pennsylvania he studied B.Sc. at University of Michigan before joining the forces in World War II,as Sonic deception officer in the Ghost army....
    
    , Bell Sys. Tech. J., 45 (October 1966), pp. 1247–1272.
14. Necessary Density Conditions for Sampling and Interpolation of Certain Entire Functions, H. J. Landau, Acta Math., 117 (February 1967), pp. 37–52.
15. Sampling, Data Transmission, and the Nyquist Rate, H. J. Landau, Proc. IEEE, 55 (October 1967), pp. 1701–1706.
16. On the Supremum of a Gaussian Process, H. J. Landau and Lawrence Shepp
    Lawrence Shepp
    Lawrence Shepp is an American mathematician, specialising in statistics and computational tomography.Shepp obtained his PhD from Princeton University with a dissertation entitled Recurrent Sums of Random Variables. His advisor was William Feller. He joined Bell Laboratories in 1962. He joined...
    
    , Sankhya A, 32 (December 1970), pp. 369–378.
17. How Does a Porcupine Separate its Quills, H. J. Landau, IEEE Trans. on Information Theory, It-17:2 (1971), pp. 157–161.
18. Some Computer Experiments in Picture Processing for Bandwidth Reduction, H. J. Landau and D. Slepian, Bell Sys. Tech. J., 50:5 (1971), pp. 1525–1540.
19. On the Completeness of a Set of Translates, H. J. Landau, J. Approx. Theory, 5:4 (1972), pp. 438–440.
20. On Szego's Eigenvalue Distribution Theorem and Non-Hermition Kernels, H. J. Landau, J. d'Analyse Mathematique, 28 (1975), pp. 335–357.
21. Loss in Unstable Resonators, H. J. Landau, J. Opt. Soc. Amer., 66:6 (June 1976), pp. 525–529.
22. Pricing in a Dynamic Model with Saturation, H. J. Landau, Econometrica, 44:6 (November 1976), pp. 1153–1156.
23. The Notion of Approximate Eigenvalues Applied to an Integral Equation of Laser Theory, H. J. Landau, Quart. Appl. Math., April 1977, pp. 165–172.
24. A Note on the Eigenvalues of Hermitian Matrices, D. Slepian and H. J. Landau, SIAM J. Math. Anal., 9:2 (1978), pp. 291–297.
25. A Game-Theoretic Analysis of Bargaining with Reputations, Robert W. Rosenthal
    Robert W. Rosenthal
    Robert W. Rosenthal was an American economist, most known for his contributions to game theory.He obtained a B.A. in political economy from Johns Hopkins University ,M.S. and...
    
     and H. J. Landau, J. of Mathematical Psychology, 20:3 (1979), pp. 233–255.
26. The Classical Moment Problem, Hilbertian Proofs, H. J. Landau, J. Functional Analysis, 38 (1980), pp. 255–272.
27. On Comparison of Cash Flow Streams, H. J. Landau, Management Science, 26:12 (1980), pp. 1218–1226.
28. The Eigenvalue Distribution of Time and Frequency Limiting, H. J. Landau and Harold Widom
    Harold Widom
    Harold Widom is an American mathematician well known for his contributions to operator theory and random matrices. He was appointed to the Department of Mathematics at the University of California, Santa Cruz in 1968 and became professor emeritus in 1994. ...
    
    , J. Math. Anal. and Appl., 77:2 (1980), pp. 469–481.
29. Repeated Bargaining with Opportunities for Learning, R. W. Rosenthal and H. J. Landau, J. Math. Sociology, 8 (1981), pp. 61–74.
30. Bounds for Eigenvalues of Certain Stochastic Matrices, H. J. Landau and Andrew Odlyzko
    Andrew Odlyzko
    Andrew Michael Odlyzko is a mathematician and a former head of the University of Minnesota's Digital Technology Center.In the field of mathematics he has published extensively on analytic number theory, computational number theory, cryptography, algorithms and computational complexity,...
    
    , Linear Algebra and Its Applications, 38 (1981), pp. 5–15.
31. The Inverse Problem for the Vocal Tract and the Moment Problem, H. J. Landau, SIAM J. Math. Anal., 14:5 (1983), pp. 1019–1035.
32. Mobility and Wages, H. J. Landau and Andrew Weiss (economist)
    Andrew Weiss (economist)
    Andrew M. Weiss is Founder and Chief Executive Officer of Weiss Asset Management, a Boston-based investment firm, and Professor Emeritus Boston University.-Early Years and Education:...
    
    , Economics Letters, 15 (1984), pp. 97–102.
33. Optimum Waveform Signal Sets with Amplitude and Energy Constraints, H. J. Landau and Aaron D. Wyner
    Aaron D. Wyner
    Dr. Aaron D. Wyner was an American information theorist noted for his contributions in coding theory, particularly the Gaussian channel. He lived in South Orange, New Jersey.Wyner was born in the Bronx, New York...
    
    , IEEE Trans. Inf. Theory, IT-30:4 (1984), pp. 615–622.
34. Wages, Hiring Standards, and Firm Size, H. J. Landau and A. M. Weiss, J. Labor Econ., 2:4 (1984), pp. 477–499.
35. Diffusion, Cell Mobililty and Bandlimited Functions, H. J. Landau, Benjamin F. Logan
    Benjamin F. Logan
    Benjamin F. "Tex" Logan, Jr. is an American electrical engineer and bluegrass music fiddler.Born in Coahoma, Texas, Logan earned a B.Sc. in electrical engineering at Texas Tech University, then Texas Technological College, in Lubbock, Texas, studied for a B.Sc. in engineering at Massachusetts...
    
    , L. A. Shepp and N. Bauman, SIAM J. Appl. Math., 44:6 (1984), pp. 1232–1245.
36. The Stationary Distribution of Reflected Brownian Motion in a Planar Region, J. Michael Harrison
    J. Michael Harrison
    J. Michael Harrison is an American scientist, known for his contributions to the theory of mathematical finance, in particularstochastic networks and financial engineering. He has authorednear 90 journal articles and written two books in his area....
    
    , H. J. Landau and L. A. Shepp, Annnals of Prob., 13:3 (1985), pp. 744–757.
37. An Overview of Time and Frequency Limiting, H. J. Landau, Fourier Techniques and Applications, J. F. Price (editor), Plenum, New York, 1985, pp. 201–220.
38. An Inequality Conjectured by Hajela and Seymour Arising in Combinatorial Geometry, H. J. Landau, B. F. Logan and L. A. Shepp, Combinatorica, 5:4 (1985), pp. 337–342.
39. Extrapolating a Band-Limited Function from Its Samples Taken in a Finite Interval, H. J. Landau, IEEE Trans. Inf. Theory, IT-32:4 (1986), pp. 464–470.
40. Maximum Entropy and the Moment Problem, H. J. Landau, Bull. Amer. Math. Soc., 16:1 (1987), pp. 47–77.
41. Polynomials Orthogonal on the Semicircle, II, Walter Gautschi
    Walter Gautschi
    Walter Gautschi is a Swiss-American mathematician, known for his contributions to numerical analysis. He has authored over 150 papers in hisarea and published two books.Born in Basel, he has a Ph.D...
    
    , H. J. Landau and Gradimir Milovanović
    Gradimir Milovanovic
    Gradimir V. Milovanović is a mathematician from Serbia known for his contributions to approximation theory and numerical analysis.He has published over 150 papers and authored twenty books in his area....
    
    , Constr. Approx., 3:4 (1987), pp. 389–404.
42. Moments in Mathematics, H. J. Landau, Proc. Symp. Appl. Math., (editor), Amer. Math. Soc., 37 (1987).
43. Classical Background of the Moment Problem, H. J. Landau, Proc. Symp. Appl. Math., 37 (1987), pp. 1–15.
44. Polynomials Orthogonal in an Indefinite Metric, H. J. Landau, Operator Theory: Advances and Applications, 34 (1988), pp. 203–214.
45. On the Minimum Distance Problem for Faster-than-Nyquist Signaling, James E. Mazo and H. J. Landau, IEEE Trans. Inf. Theory, IT-34:6 (1989), pp. 1420–1427.
46. On the Density of Phase-Space Expansions, H. J. Landau, IEEE Trans. on Information Theory, IT-39:4 (1993), pp. 1152–1156.
47. The Inverse Eigenvalue Problem for Real Symmetric Toeplitz Matrices, H. J. Landau, J. Amer. Math. Soc., 7:3 (1994), pp. 749–767.
48. Prediction and the Inverse of Toeplitz Matrices, Israel Gohberg
    Israel Gohberg
    Israel Gohberg was a Bessarabian-born Soviet and Israeli mathematician, most known for his work in operator theory and functional analysis, in particular linear operators and integral equations...
    
     and H. J. Landau, Approximation and Computation, Int. Series of Numerical Mathematics, R. Zahar (editor), Birkhauser, Boston, 119 (1995), pp. 219–230.
49. Gabor Time-Frequency Lattices and the Wexler-Raz Identity, Ingrid Daubechies
    Ingrid Daubechies
    Ingrid Daubechies is a Belgian physicist and mathematician. She was between 2004 and 2011 the William R. Kenan Jr. Professor in the mathematics and applied mathematics departments at Princeton University. In January 2011 she moved to Duke University as a Professor in mathematics. She is the first...
    
    , H. J. Landau and Zeph Landau, J. Fourier Analysis and Appl., (4):437–478, 1995
50. An iterated random function with Lipschitz number one, Aaron Abrams
    Aaron Abrams
    Aaron Abrams is a Canadian actor and writer born in Toronto, Ontario, who has worked in both film and television.Abrams has appeared in over 50 films and TV series, having been a regular on several shows including the Emmy nominated series 'The State Within' ,'Slings and Arrows' , and 'Runaway'...
    
    , H.J. Landau, Z. Landau, James Pommersheim, Eric Zaslow, Theory of Probability and its Applications, 47(2):286–300, 2002
51. Evasive random walks and the clairvoyant demon, A. Abrams, H.J. Landau, Z. Landau, J. Pommersheim, E. Zaslow, Random Structures and Algorithms, 20(2):239–248, 2002
52. Random Multiplication Approaches Uniform Measure in Finite Groups, A. Abrams, H.J. Landau, Z. Landau, J. Pommersheim, E. Zaslow, Journal of Theoretical Probability, 20(1), March, 2007