@article{CM_1968__19_1_1_0,
author = {Robert, Pierre},
title = {On some non-archimedean normed linear spaces. {I}},
journal = {Compositio Mathematica},
pages = {1--15},
year = {1968},
publisher = {P. Noordhoff N. V., Groningen},
volume = {19},
number = {1},
mrnumber = {226368},
zbl = {0153.44101},
language = {en},
url = {https://www.numdam.org/item/CM_1968__19_1_1_0/}
}
Robert, Pierre. On some non-archimedean normed linear spaces. I. Compositio Mathematica, Tome 19 (1968) no. 1, pp. 1-15. https://www.numdam.org/item/CM_1968__19_1_1_0/
, [1] The Paley-Wiener Theorem in metric linear spaces, Pacific J. Math., 10 (1960) pp. 365-379. | Zbl | MR
, [2] The numerical solution of linear differential equations in Chebyshev series, Proc. Camb. Phil. Soc., 53 (1957) pp. 134-149. | Zbl | MR
, [3] On non-Archimedean normed spaces, Proc. Kon. Ned., Akad. Wet., 51 (1948) pp. 693 - 698. | Zbl | MR
, [4] A note on asymptotic series, Can. J. Math., 9 (1957) pp. 90-95. | Zbl | MR
[5] Non-Archimedean metrics in topology, Proc. Amer. Math. Soc., 7 (1956) pp. 948-953. | Zbl | MR
and , [6] "Operational Calculus in two variables and its applications", (English translation by D. M. G. Wishart), Pergamon Press, New York, 1962. | Zbl | MR
and , [7] "Linear Operators, Part I: General Theory", Interscience Publishers Inc., New York, 1958. | Zbl | MR
et al., [8] "Tables of Integral Transforms", Vol. I and Vol. II, McGraw-Hill Book Co. Inc., New York, 1954. | MR | Zbl
, [9] "Asymptotic Expansions", Dover Publications, Inc., New York, 1956. | Zbl | MR
, [10] General asymptotic expansions of Laplace integrals, Arch. Rat. Mech. Anal., 7 (1961) pp. 1-20. | Zbl | MR
and , [11] The asymptotic evaluation of certain integrals, Arch. Rat. Mech. Anal., 14 (1963) pp. 217-260. | Zbl | MR
, [12] Sur les espaces normés non-archimédiens, Proc. Kon. Ned. Akad. Wet. Ser. A, 57 (1956) pp. 165-168. | Zbl | MR
, [13] Chebyshev methods for ordinary differential equations, Computer Jnl., 4 (1961-62) pp. 318-331. | Zbl | MR
, [14] "Introduction to Hilbert spaces", 2nd ed., Chelsea Publ. Co., New York, 1957. | Zbl
, [15] On some integral equations with unbounded eigenvalues, S.I.A.M. Journal, 7 (1959) pp. 290-297. | Zbl | MR
and , [16] "Dimension Theory", Princeton University Press, Princeton, N. J., 1941. | Zbl | MR
, [17] The Hahn-Banach Theorem for non-Archimedean valued fields, Proc. Camb. Philo. Soc. 48 (1952) pp. 41-45. | Zbl | MR
, [18] "General topology", D. Van Nostrand Co. Inc., Princeton, N. J., 1955. | Zbl | MR
and , [19] "Elements of the Theory of Functions and Functional Analysis", Vol. I and Vol. II (Russian) English translation, Graylock Press, Rochester, N. Y., 1957.
, [20] Trigonometric interpolation of empirical and analytical functions, J. Math. and Phys., 17 (1938) pp. 123-199. | Zbl | JFM
, [21] "Applied Analysis", Prentice Hall Inc., Englewood Cliffs, N. J., 1956. | Zbl | MR
, [22] "An Introduction to Abstract Harmonic Analysis", D. van Nostrand, Inc., New York, 1953. | Zbl | MR
, [23] "Operational Calculus", (Translation of the 2nd Polish edition, vol. 30, Monografie Matematyczne, 1957), Pergamon Press, Inc., New York, 1959. | Zbl
, [24] Sur les espaces linéaires normés, I : Proc. Kon. Ned. Akad. Wet, 49 (1946) pp. 1045-1055; II: Proc. Kon. Ned. Akad. Wet, 49 (1946) pp. 1056-1062; III: Proc. Kon. Ned. Akad. Wet, 49 (1946) pp. 1134-1141; IV: Proc. Kon. Ned. Akad. Wet, 49 (1946) pp. 1142-1152; V: Proc. Kon. Ned. Akad. Wet, 51 (1948) pp. 197- 210; VI: Proc. Kon. Ned. Akad. Wet, 52 (1949) pp. 151- 160. | Zbl
, [25] Sur les espaces normés non-archimédiens, I: Proc. Kon. Ned. Akad. Wet, Ser. A, 59 (1956) pp. 475-483; II: Proc. Kon. Ned. Akad. Wet, Ser. A, 59 (1956) pp. 484-489; III: Proc. Kon. Ned. Akad. Wet, Ser. A, 60 (1957) pp. 459-467; IV: Proc. Kon. Ned. Akad. Wet, Ser. A, 60 (1957) pp. 468-476. | Zbl | MR
, [26] "Normed rings", (English translation of the first Russian ed. by L. F. Boron), P. Noordhoff N.V., Groningen, Netherland, 1959. | Zbl | MR
and , [27] "Fourier Transforms in the Complex Domain", Amer. Math. Soc. Colloquium Publ. no. 19, New York, 1934. | Zbl | MR
, [28] "Topological Groups", English translation, Princeton Univ. Press, Princeton, N. J., 1946. | JFM
, [29] Asymptotic expansions from an algebraic standpoint, Proc. Kon. Ned. Akad. Wet, Ser. A, 56 (1953) pp. 131-143. | Zbl | MR
, [30] Das Kriterium von Paley und Wiener in Banaschem Raum, Math. Nach., 3 (1949) pp. 59-61. | Zbl | MR
, [31] "The Theory of Valuations", Mathematical Surveys, No. IV, Amer. Math. Soc., 1950. | Zbl | MR
, [32] "Asymptotic Properties of Solutions of Equations in Banach Spaces" , M.A. Thesis, University of British Columbia, Vancouver, 1959.
and , [33] Asymptotic solutions of equations in Banach spaces, Can. J. of Math., 13 (1961) pp. 493-504. | Zbl | MR
, [34] An inequality for linear transformations with eigenvalues, Bull. Amer. Math. Soc., 67 (1961) pp. 607-608. | Zbl | MR
, [35] On spectral estimation, Bull. Amer. Math. Soc., 68 (1962) pp. 33-35. | Zbl | MR
, [36] "Introduction to Functional Analysis", J. Wiley and Sons, Inc., New York, 1958. | Zbl | MR
, [37] "Introduction to the Constructive Theory of Functions", International Series of Numerical Mathematics, Vol. I, Academic Press Inc., New York, 1963. | MR
, [38] "Asymptotic Expansions I. Fundamental Theorems of Asymptotics" , University of California, Berkeley, 1954.
, [39] Asymptotics. I, Proc. Kon. Ned. Akad. Wet, Ser. A, 57 (1954) pp. 206-217. | Zbl | MR
, [40] "Modern Algebra", Vol. I, Revised English edition, Frederick Ungar Publ. Co., New York, 1953.
, [41] "The Laplace Transform", Princeton University Press, Princeton, N. J., 1941. | Zbl | MR | JFM





