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维基百科

亨利·藍道

一月 28, 2023

亨利·雅各·藍道（Henry Jacob Landau）是美國的數學家，研究信息论，特別是有限帶寬（英语：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学士、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·阿尔福斯及約瑟夫·倫納德·沃爾什（英语：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，也在纽约市立大学、香港中文大學及哥伦比亚大学擔任客座教授，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 （页面存档备份，存于互联网档案馆） in IEEE Transactions on Information Theory, 48(6):1242, June 2002.
  3. ^ Publication list （页面存档备份，存于互联网档案馆） on his homepage (as of 1995).

一月 28, 2023
亨利, 藍道, 亨利, 雅各, 藍道, henry, jacob, landau, 是美國的數學家, 研究信息论, 特別是有限帶寬, 英语, 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学士, 文學碩士及哲學博士, 博士論文是on, canonical, conformal, maps, multiply, connected, regions, 由拉斯, 阿尔福斯及約瑟夫, 倫納德, 沃爾什, 英语, joseph, leonard, walsh. 亨利 雅各 藍道 Henry Jacob Landau 是美國的數學家 研究信息论 特別是有限帶寬 英语 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学士 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 阿尔福斯及約瑟夫 倫納德 沃爾什 英语 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 也在纽约市立大学 香港中文大學及哥伦比亚大学擔任客座教授 最後成為貝爾實驗室的技術人員成員 2 出版品 编辑以下是出版品的列表 3 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 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 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 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 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 Szego 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 J of Mathematical Psychology 20 3 1979 pp 233 255 The Classical Moment Problem Hilbertian Proofs H J Landau J 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 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 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 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 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 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 Milovanovic 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 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 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 2007參考資料 编辑 亨利 藍道在數學譜系計畫的資料 Shannon Theory Perspective Trends and Applications Preface 页面存档备份 存于互联网档案馆 in IEEE Transactions on Information Theory 48 6 1242 June 2002 Publication list 页面存档备份 存于互联网档案馆 on his homepage as of 1995 取自 https zh wikipedia org w index php title 亨利 藍道 amp oldid 64335261, 维基百科，wiki，书籍，书籍，图书馆，

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