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亨利·藍道

維基百科，自由的百科全書

亨利·雅各·藍道（Henry Jacob Landau）是美國的數學家，研究信息論，特別是有限帶寬（英語：bandlimited）函數以及矩的相關研究。

藍道分別在1953年、1955年及1957年在哈佛大學獲得文學士、文學碩士及哲學博士，博士論文是On Canonical Conformal Maps of Multiply Connected Regions，由拉斯·阿爾福斯及約瑟夫·倫納德·沃爾什（英語：Joseph Leonard Walsh）指導[1]。

藍道在畢業後，曾在普林斯頓的普林斯頓高等研究院二次擔任客座成員，也在紐約市立大學、香港中文大學及哥倫比亞大學擔任客座教授，最後成為貝爾實驗室的技術人員成員[2]。

出版品

以下是出版品的列表[3]：

  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, 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 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 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, 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, 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 Szegö's Eigenvalue Distribution Theorem and Non-Hermitian 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 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, 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, 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, Economics Letters, 15 (1984), pp. 97–102.
  33. 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.
  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, 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, 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, H. J. Landau and Gradimir Milovanović, 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 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, 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, 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

參考資料

  1. ^ 亨利·藍道在數學譜系計畫的資料。
  2. ^ Shannon Theory: Perspective, Trends, and Applications, Preface （頁面存檔備份，存於網際網路檔案館） in IEEE Transactions on Information Theory, 48(6):1242, June 2002.
  3. ^ Publication list （頁面存檔備份，存於網際網路檔案館） on his homepage (as of 1995).
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