Henry Jacob Landau is an American

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...

known for his contributions to information theory, including the theory of

bandlimited Bandlimiting is the limiting of a signal's frequency domain representation or spectral density to zero above a certain finite frequency. A band-limited signal is one whose Fourier transform or spectral density has bounded support. A bandli ...

functions and on moment issues. Landau attended the

Bronx High School of Science The Bronx High School of Science, commonly called Bronx Science, is a public specialized high school in The Bronx in New York City. It is operated by the New York City Department of Education. Admission to Bronx Science involves passing the Sp ...

. He received an

A.B. Bachelor of arts (BA or AB; from the Latin ', ', or ') is a bachelor's degree awarded for an undergraduate program in the arts, or, in some cases, other disciplines. A Bachelor of Arts degree course is generally completed in three or four yea ...

(1953), A.M. (1955) and

Ph.D. A Doctor of Philosophy (PhD, Ph.D., or DPhil; Latin: or ') is the most common degree at the highest academic level awarded following a course of study. PhDs are awarded for programs across the whole breadth of academic fields. Because it is ...

(1957) from

Harvard University Harvard University is a private Ivy League research university in Cambridge, Massachusetts. Founded in 1636 as Harvard College and named for its first benefactor, the Puritan clergyman John Harvard, it is the oldest institution of high ...

. His thesis ''On Canonical Conformal Maps of Multiply Connected Regions'' was advised by

Lars Ahlfors Lars Valerian Ahlfors (18 April 1907 – 11 October 1996) was a Finnish mathematician, remembered for his work in the field of Riemann surfaces and his text on complex analysis. Background Ahlfors was born in Helsinki, Finland. His mother, Sie ...

and

Joseph Leonard Walsh __NOTOC__ Joseph Leonard Walsh (September 21, 1895 – December 6, 1973) was an American mathematician who worked mainly in the field of analysis. The Walsh function and the Walsh–Hadamard code are named after him. The Grace–Walsh–Szegő ...

. Landau later became Distinguished Member of Technical Staff at

Bell Laboratories Nokia Bell Labs, originally named Bell Telephone Laboratories (1925–1984), then AT&T Bell Laboratories (1984–1996) and Bell Labs Innovations (1996–2007), is an American industrial research and scientific development company owned by mult ...

and a twice visiting member at the

Institute for Advanced Study The Institute for Advanced Study (IAS), located in Princeton, New Jersey, in the United States, is an independent center for theoretical research and intellectual inquiry. It has served as the academic home of internationally preeminent schola ...

Princeton Princeton University is a private research university in Princeton, New Jersey. Founded in 1746 in Elizabeth as the College of New Jersey, Princeton is the fourth-oldest institution of higher education in the United States and one of the ni ...

. He has also served as an adjunct professor at City University of New York, the

Chinese University of Hong Kong The Chinese University of Hong Kong (CUHK) is a public research university in Ma Liu Shui, Hong Kong, formally established in 1963 by a charter granted by the Legislative Council of Hong Kong. It is the territory's second-oldest university and ...

, and

Columbia University Columbia University (also known as Columbia, and officially as Columbia University in the City of New York) is a private research university in New York City. Established in 1754 as King's College on the grounds of Trinity Church in Manhatt ...

Publications

The following is a list of publications:Publication list
on his homepage (as of 1995). # On Uniform Approximation to Continuous Functions by Rational Functions with Preassigned Poles, H. J. Landau, Proc. Amer. Math. Soc., 5 (1954), pp. 671–676. # Operational Requirements for a Collision Warning System, Eduardo I. Pina and H. J. Landau, Operations Research, 5 (1957), pp. 794–814. # Some Distortion Theorems for Multivalent Mappings, H. J. Landau and

Robert Osserman Robert "Bob" Osserman (December 19, 1926 – November 30, 2011) was an American mathematician who worked in geometry. He is specially remembered for his work on the theory of minimal surfaces. Raised in Bronx, he went to Bronx High School of ...

, Proc. Amer. Math. Soc., 10 (1959), pp. 87–91. # 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. # 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. # On Analytic Mappings of Riemann Surfaces, R. Osserman and H. J. Landau, J. d'Analyse Mathematique, 7 (1960), pp. 249–279. # Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty, II,

Henry O. Pollak Henry Otto Pollak (born December 13, 1927) is an Austrian-Americans, American mathematician. He is known for his contributions to information theory, and with Ronald Graham is the namesake of the Graham–Pollak theorem in graph theory. Born in ...

and H. J. Landau, Bell Sys. Tech. J., 40:1 (January 1961), pp. 65–84. # The Recovery of Distorted Band-Limited Signals, Willard L. Miranker and H. J. Landau, J. Math. Anal. and Appl., 2:1 (February 1961), pp. 97–104. # On Canonical Conformal Maps of Multiply Connected Domains, H. J. Landau, Trans. Amer. Math. Soc., 99:1 (April 1961), pp. 1–20. # 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. # A Sparse Regular Sequence of Exponentials Closed on Large Sets, H. J. Landau, Bull. Amer. Math. Soc., 70 (1964), pp. 566–569. # The Eigenvalue Behavior of Certain Convolution Equations, H. J. Landau, Trans. Amer. Math. Soc., 115 (March 1965), pp. 242–256. # On the Optimality of the Regular Simplex Code, H. J. Landau and

David Slepian David S. Slepian (June 30, 1923 – November 29, 2007) was an American mathematician. He is best known for his work with algebraic coding theory, probability theory, and distributed source coding. He was colleagues with Claude Shannon and Ri ...

, Bell Sys. Tech. J., 45 (October 1966), pp. 1247–1272. # Necessary Density Conditions for Sampling and Interpolation of Certain Entire Functions, H. J. Landau, Acta Math., 117 (February 1967), pp. 37–52. # Sampling, Data Transmission, and the Nyquist Rate, H. J. Landau, Proc. IEEE, 55 (October 1967), pp. 1701–1706. # On the Supremum of a Gaussian Process, H. J. Landau and Lawrence Shepp,

Sankhya ''Samkhya'' or ''Sankya'' (; Sanskrit सांख्य), IAST: ') is a dualistic school of Indian philosophy. It views reality as composed of two independent principles, '' puruṣa'' ('consciousness' or spirit); and ''prakṛti'', (nature ...

A, 32 (December 1970), pp. 369–378. # How Does a Porcupine Separate its Quills, H. J. Landau, IEEE Trans. on Information Theory, It-17:2 (1971), pp. 157–161. # 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. # On the Completeness of a Set of Translates, H. J. Landau, J. Approx. Theory, 5:4 (1972), pp. 438–440. # On Szegö's Eigenvalue Distribution Theorem and Non-Hermitian Kernels, H. J. Landau, J. d'Analyse Mathematique, 28 (1975), pp. 335–357. # Loss in Unstable Resonators, H. J. Landau, J. Opt. Soc. Amer., 66:6 (June 1976), pp. 525–529. # Pricing in a Dynamic Model with Saturation, H. J. Landau, Econometrica, 44:6 (November 1976), pp. 1153–1156. # The Notion of Approximate Eigenvalues Applied to an Integral Equation of Laser Theory, H. J. Landau, Quart. Appl. Math., April 1977, pp. 165–172. # A Note on the Eigenvalues of Hermitian Matrices, D. Slepian and H. J. Landau, SIAM J. Math. Anal., 9:2 (1978), pp. 291–297. # A Game-Theoretic Analysis of Bargaining with Reputations, Robert W. Rosenthal and H. J. Landau, Journal of Mathematical Psychology, 20:3 (1979), pp. 233–255. # The Classical Moment Problem, Hilbertian Proofs, H. J. Landau, Journal of Functional Analysis, 38 (1980), pp. 255–272. # On Comparison of Cash Flow Streams, H. J. Landau, Management Science, 26:12 (1980), pp. 1218–1226. # The Eigenvalue Distribution of Time and Frequency Limiting, H. J. Landau and Harold Widom, J. Math. Anal. and Appl., 77:2 (1980), pp. 469–481. # Repeated Bargaining with Opportunities for Learning, R. W. Rosenthal and H. J. Landau, J. Math. Sociology, 8 (1981), pp. 61–74. # Bounds for Eigenvalues of Certain Stochastic Matrices, H. J. Landau and

Andrew Odlyzko Andrew Michael Odlyzko (Andrzej Odłyżko) (born 23 July 1949) is a Polish-American mathematician and a former head of the University of Minnesota's Digital Technology Center and of the Minnesota Supercomputing Institute. He began his career in ...

, Linear Algebra and Its Applications, 38 (1981), pp. 5–15. # The Inverse Problem for the Vocal Tract and the Moment Problem, H. J. Landau, SIAM J. Math. Anal., 14:5 (1983), pp. 1019–1035. # Mobility and Wages, H. J. Landau and

Andrew Weiss (economist) Andrew M. Weiss (born January 2, 1947) is Founder and Chief Executive Officer of Weiss Asset Management, a Boston-based investment firm, and Professor Emeritus Boston University. Early Years and Education Weiss was born in New York in 1947. He ...

, Economics Letters, 15 (1984), pp. 97–102. # Optimum Waveform Signal Sets with Amplitude and Energy Constraints, H. J. Landau and Aaron D. Wyner, IEEE Trans. Inf. Theory, IT-30:4 (1984), pp. 615–622. # Wages, Hiring Standards, and Firm Size, H. J. Landau and A. M. Weiss, J. Labor Econ., 2:4 (1984), pp. 477–499. # Diffusion, Cell Mobility and Bandlimited Functions, H. J. Landau, Benjamin F. Logan, L. A. Shepp and N. Bauman, SIAM J. Appl. Math., 44:6 (1984), pp. 1232–1245. # The Stationary Distribution of Reflected Brownian Motion in a Planar Region, J. Michael Harrison, H. J. Landau and L. A. Shepp, Annals of Probability, 13:3 (1985), pp. 744–757. # 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. # 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. # 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. # Maximum Entropy and the Moment Problem, H. J. Landau, Bull. Amer. Math. Soc., 16:1 (1987), pp. 47–77. # Polynomials Orthogonal on the Semicircle, II, Walter Gautschi, H. J. Landau and

Gradimir Milovanović Gradimir V. Milovanović (born January 2, 1948) is a Serbian mathematician known for his contributions to approximation theory and numerical analysis. He has published over 280 papers and authored five monographs and more than twenty books in his ...

, Constr. Approx., 3:4 (1987), pp. 389–404. # Moments in Mathematics, H. J. Landau, Proc. Symp. Appl. Math., (editor), Amer. Math. Soc., 37 (1987). # Classical Background of the Moment Problem, H. J. Landau, Proc. Symp. Appl. Math., 37 (1987), pp. 1–15. # Polynomials Orthogonal in an Indefinite Metric, H. J. Landau, Operator Theory: Advances and Applications, 34 (1988), pp. 203–214. # 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. # On the Density of Phase-Space Expansions, H. J. Landau, IEEE Trans. on Information Theory, IT-39:4 (1993), pp. 1152–1156. # The Inverse Eigenvalue Problem for Real Symmetric Toeplitz Matrices, H. J. Landau, J. Amer. Math. Soc., 7:3 (1994), pp. 749–767. # Prediction and the Inverse of Toeplitz Matrices,

Israel Gohberg Israel Gohberg ( he, ישראל גוכברג; russian: Изра́иль Цу́дикович Го́хберг; 23 August 1928 – 12 October 2009) was a Bessarabian-born Soviet and Israeli mathematician, most known for his work in operator theory ...

and H. J. Landau, Approximation and Computation, Int. Series of Numerical Mathematics, R. Zahar (editor), Birkhauser, Boston, 119 (1995), pp. 219–230. # Gabor Time-Frequency Lattices and the Wexler-Raz Identity,

Ingrid Daubechies Baroness Ingrid Daubechies ( ; ; born 17 August 1954) is a Belgian physicist and mathematician. She is best known for her work with wavelets in image compression. Daubechies is recognized for her study of the mathematical methods that enhance ...

, H. J. Landau and Zeph Landau, J. Fourier Analysis and Appl., (4):437–478, 1995 # An iterated random function with Lipschitz number one, Aaron Abrams, H.J. Landau, Z. Landau, James Pommersheim, Eric Zaslow, Theory of Probability and Its Applications, 47(2):286–300, 2002 # 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 # 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

References

{{DEFAULTSORT:Landau, Henry Year of birth missing (living people) Living people Harvard University alumni Scientists at Bell Labs 20th-century American mathematicians 21st-century American mathematicians American information theorists Columbia University faculty Place of birth missing (living people)