## Henry Landau

### Professional Background

#### Educational Background

A.B., Harvard University (1953) summa cum laude

NSF Fellowship, University of Paris (1953 - 1994)

A.M., Harvard University (1955)

Ph.D., Harvard University (1957)

NSF Fellowship, University of Paris (1953 - 1994)

A.M., Harvard University (1955)

Ph.D., Harvard University (1957)

#### Scholarly Interests

Fourier Analysis

Moment Problems

Matrices

Moment Problems

Matrices

#### Selected Publications

Prediction and the Inverse of Toeplitz Matrices, Israel Gohberg and H. J. Landau, Approximation and Computation, Int.

Evasive random walks and the clairvoyant demon, A. Abrams, H.J. Landau, Z. Landau, J. Pommersheim, E. Zaslow,

An iterated random function with Lipschitz number one, Aaron Abrams, H.J. Landau, Z. Landau, James Pommersheim,

Gabor Time-Frequency Lattices and the Wexler-Raz Identity, Ingrid Daubechies, H. J. Landau and Zeph Landau,

The Inverse Eigenvalue Problem for Real Symmetric Toeplitz Matrices, H. J. Landau, J. Amer. Math. Soc., 7:3 (1994),

On the Density of Phase-Space Expansions, H. J. Landau, IEEE Trans. on Information Theory, IT-39:4 (1993),

Series of Numerical Mathematics, R. Zahar (editor), Birkhauser, Boston, 119 (1995), pp. 219–230.

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

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

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

Gabor Time-Frequency Lattices and the Wexler-Raz Identity, Ingrid Daubechies, H. J. Landau and Zeph Landau,

J.Fourier Analysis and
Appl., (4):437-478, 1995

The Inverse Eigenvalue Problem for Real Symmetric Toeplitz Matrices, H. J. Landau, J. Amer. Math. Soc., 7:3 (1994),

pp. 749–767.

On the Density of Phase-Space Expansions, H. J. Landau, IEEE Trans. on Information Theory, IT-39:4 (1993),

pp. 1152–1156.

### publications

Classical Background of the Moment Problem, H. J. Landau, Proc. Symp. Appl. Math., 37 (1987), pp. 1–15.

Moments in Mathematics, H. J. Landau, Proc. Symp. Appl. Math., (editor), Amer. Math. Soc., 37 (1987).

Polynomials Orthogonal on the Semicircle, II, Walter Gautschi, H. J. Landau and Gradimir Milovanović, Constr.

Maximum Entropy and the Moment Problem, H. J. Landau, Bull. Amer. Math. Soc., 16:1 (1987), pp. 47–77.

Extrapolating a Band-Limited Function from Its Samples Taken in a Finite Interval, H. J. Landau, IEEE Trans. Inf.

An Inequality Conjectured by Hajela and Seymour Arising in Combinatorial Geometry, H. J. Landau, B. F. Logan and

An Overview of Time and Frequency Limiting, H. J. Landau, Fourier Techniques and Applications, J. F. Price

The Stationary Distribution of Reflected Brownian Motion in a Planar Region, J. Michael Harrison, H. J. Landau and L.

Diffusion, Cell Mobililty and Bandlimited Functions, H. J. Landau, Benjamin F. Logan, L. A. Shepp and N. Bauman,

Wages, Hiring Standards, and Firm Size, H. J. Landau and A. M. Weiss, J. Labor Econ., 2:4 (1984), pp. 477–499.

Optimum Waveform Signal Sets with Amplitude and Energy Constraints, H. J. Landau and Aaron D. Wyner, IEEE

Mobility and Wages, H. J. Landau and Andrew Weiss (economist), Economics Letters, 15 (1984), pp. 97–102.

The Inverse Problem for the Vocal Tract and the Moment Problem, H. J. Landau, SIAM J. Math. Anal., 14:5 (1983),

Bounds for Eigenvalues of Certain Stochastic Matrices, H. J. Landau and Andrew Odlyzko, Linear Algebra and Its

Repeated Bargaining with Opportunities for Learning, R. W. Rosenthal and H. J. Landau, J. Math. Sociology, 8

The Eigenvalue Distribution of Time and Frequency Limiting, H. J. Landau and Harold Widom, J. Math. Anal. and

On Comparison of Cash Flow Streams, H. J. Landau, Management Science, 26:12 (1980), pp. 1218–1226.

The Classical Moment Problem, Hilbertian Proofs, H. J. Landau, J. Functional Analysis, 38 (1980), pp. 255–272.

A Game-Theoretic Analysis of Bargaining with Reputations, Robert W. Rosenthal and H. J. Landau, J. of

A Note on the Eigenvalues of Hermitian Matrices, D. Slepian and H. J. Landau, SIAM J. Math. Anal., 9:2 (1978),

The Notion of Approximate Eigenvalues Applied to an Integral Equation of Laser Theory, H. J. Landau, Quart. Appl.

Moments in Mathematics, H. J. Landau, Proc. Symp. Appl. Math., (editor), Amer. Math. Soc., 37 (1987).

Polynomials Orthogonal on the Semicircle, II, Walter Gautschi, H. J. Landau and Gradimir Milovanović, Constr.

Approx., 3:4 (1987), pp.
389–404.

Maximum Entropy and the Moment Problem, H. J. Landau, Bull. Amer. Math. Soc., 16:1 (1987), pp. 47–77.

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.

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.

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.

The Stationary Distribution of Reflected Brownian Motion in a Planar Region, J. Michael Harrison, H. J. Landau and L.

A. Shepp, Annnals of
Prob., 13:3 (1985), pp. 744–757.

Diffusion, Cell Mobililty 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.

Wages, Hiring Standards, and Firm Size, H. J. Landau and A. M. Weiss, J. Labor Econ., 2:4 (1984), pp. 477–499.

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.

Mobility and Wages, H. J. Landau and Andrew Weiss (economist), Economics Letters, 15 (1984), pp. 97–102.

The Inverse Problem for the Vocal Tract and the Moment Problem, H. J. Landau, SIAM J. Math. Anal., 14:5 (1983),

pp. 1019–1035.

Bounds for Eigenvalues of Certain Stochastic Matrices, H. J. Landau and Andrew Odlyzko, Linear Algebra and Its

Applications, 38 (1981), pp.
5–15.

Repeated Bargaining with Opportunities for Learning, R. W. Rosenthal and H. J. Landau, J. Math. Sociology, 8

(1981), pp. 61–74.

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.

On Comparison of Cash Flow Streams, H. J. Landau, Management Science, 26:12 (1980), pp. 1218–1226.

The Classical Moment Problem, Hilbertian Proofs, H. J. Landau, J. Functional Analysis, 38 (1980), pp. 255–272.

A Game-Theoretic Analysis of Bargaining with Reputations, Robert W. Rosenthal and H. J. Landau, J. of

Mathematical Psychology, 20:3 (1979),
pp. 233–255.

A Note on the Eigenvalues of Hermitian Matrices, D. Slepian and H. J. Landau, SIAM J. Math. Anal., 9:2 (1978),

pp. 291–297.

The Notion of Approximate Eigenvalues Applied to an Integral Equation of Laser Theory, H. J. Landau, Quart. Appl.

Math., April 1977, pp.
165–172

#### MSTM 5030: Topics in probability theory

Simple, compound, and conditional probabilities and applications. Doctoral students should register for MSTM 6030.

#### MSTM 5034: Topics in analysis

Real or complex functions and their properties. Doctoral students should register for MSTM 6034.

#### MSTM 6030: Advanced topics in probability theory

Open only to doctoral students. Emphasis on proof and advanced applications.

#### MSTM 6034: Advanced topics in analysis

Open only to doctoral students. Advanced study of real or complex functions.