The theory of infinitely divisible matrices and kernels
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- by Roger A. Horn PDF
- Trans. Amer. Math. Soc. 136 (1969), 269-286 Request permission
References
- Richard Bellman, Introduction to matrix analysis, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1960. MR 0122820
- R. P. Boas Jr. and D. V. Widder, Functions with positive differences, Duke Math. J. 7 (1940), 496–503. MR 3436
- S. Bochner, Hilbert distances and positive definite functions, Ann. of Math. (2) 42 (1941), 647–656. MR 5782, DOI 10.2307/1969252
- Carl H. Fitzgerald, On analytic continuation to a schlicht function, Proc. Amer. Math. Soc. 18 (1967), 788–792. MR 219712, DOI 10.1090/S0002-9939-1967-0219712-9
- Robert C. Gunning and Hugo Rossi, Analytic functions of several complex variables, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1965. MR 0180696
- Roger A. Horn, On boundary values of a schlicht mapping, Proc. Amer. Math. Soc. 18 (1967), 782–787. MR 219713, DOI 10.1090/S0002-9939-1967-0219713-0
- Roger A. Horn, On infinitely divisible matrices, kernels, and functions, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 8 (1967), 219–230. MR 217836, DOI 10.1007/BF00531524
- Roger A. Horn, On infinitely divisible matrices, kernels, and functions, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 8 (1967), 219–230. MR 217836, DOI 10.1007/BF00531524
- Roger A. Horn, Infinitely divisible positive definite sequences, Trans. Amer. Math. Soc. 136 (1969), 287–303. MR 499938, DOI 10.1090/S0002-9947-1969-0499938-6
- Michel Loève, Probability theory, 3rd ed., D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto, Ont.-London, 1963. MR 0203748 K. Löwner, Über monotone Matrixfunctionen, Math. Z. 38 (1934), 177-216.
- Charles Loewner, On schlicht-monotonic functions of higher order, J. Math. Anal. Appl. 14 (1966), 320–325. MR 190354, DOI 10.1016/0022-247X(66)90033-3 —, Determination of the critical exponent of the Green’s function, Symposium on Function Theory, Erevan, USSR, 1965 (1966). I. Schur, Bemerkungen zur Theorie der beschränkten Bilinearformen mit unendlich vielen Veränderlichen, J. Reine Angew. Math. 140 (1911), 1-29.
- Shlomo Sternberg, Lectures on differential geometry, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1964. MR 0193578 D. V. Widder, The Laplace transform, Princeton Univ. Press, Princeton, N. J., 1946.
Additional Information
- © Copyright 1969 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 136 (1969), 269-286
- MSC: Primary 60.99; Secondary 60.20
- DOI: https://doi.org/10.1090/S0002-9947-1969-0264736-5
- MathSciNet review: 0264736