Selected Papers of Antoni Zygmund

Selected Papers of Antoni Zygmund : Volume 3

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'Et moi j'avait su comment en revenir, One service mathematics bas rendered the je n'y serais point aile: human race. It bas put common sense: back Jules Verne where it belongs, on the topmost shelf next 10 tile dusty canister labelled 'discarded 1lOII- The series is divergent; thCldorc we may be ICDIC'. able 10 do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non- linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics ...'; 'One service logic has rendered com- puter science ...'; 'One service category theory has rendered mathematics ...'. All arguably true. And all statements obtainable this way form part of the raison d'!tre of this series.
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Product details

  • Hardback | 457 pages
  • 172.7 x 248.9 x 96.5mm | 2,925.7g
  • Dordrecht, Netherlands
  • English
  • 1989 ed.
  • XXII, 457 p.
  • 0792304748
  • 9780792304746

Table of contents

[141] (with A. P. Calderon) `A note on the interpolation of linearoperations', SM 12 (1951), 194-204..- [142] `Polish mathematics between the two wars (1919-39)', in: Proceedings of the Second Canadian Mathematical Congress, Vancouver,1949, pp. 3-9, Univ. of Toronto Press, 1951..- [143] (with A. P. Calderon) `On the existence of certain singular integrals', Acta Math. 88 (1952), 85-139..- [148] (with R. Salem) `Some properties of trigonometric series whose terms have random signs', Acta Math. 91 (1954), 245-301..- [150] (with A. P. Calderon) `Singular integrals and periodic functions', SM 14 (1954), 249-271..- [151] (with R. Salem) `Sur un theoreme de Piatetcki-Shapiro', CRAS 240 (1955), 2040-2042..- [153] (with A. P. Calderon) `On a problem of Mihlin',TAMS 78(1955), 209-224..- [164] (with A. P. Calderon) `Addenda to the paper "On a problem ofMihlin"', ibid., 84 (1957), 559-560..- [155] (with A. P. Calderon) `A note on the interpolation of sublinearoperations', Amer. J. Math. 78 (1956), 282-288..- [156] (with A. P. Calderon) `On singular integrals', ibid., 289-309..- [157] (with A. P. Calderon) `Algebras of certain singular operators',ibid., 310-320..- [158] `On a theorem of Marcinkiewicz concerning interpolation of operations', J. Math.Pures Appl. (9) 35 (1956), 223-248..- [159] `Hilbert transforms in En', in: Proceedings of the InternationalCongress of Mathematicians, 1954, Amsterdam, Vol. 3, pp. 140-151, Erven P. Noordhoff N.V., Groningen, and North-HollandPublishing Co., Amsterdam, 1956..- [160] `On the Littlewood-Paley function g*(?)',Proc. Nat. Acad. Sci.U.S.A. 42 (1956), 208-212..- [162] (with A. P. Calderon) `Singular integral operators and differential equations', Amer. J. Math. 79 (1957), 901-921..- [166] (with M. Weiss) `A note on smooth functions', Nederl.Akad.Weiensch. Proc. Ser. A 62 = Indag. Math. 21 (1959), 52-58..- [174] (with A. P. Calderon) `Local properties of solutions of ellipticpartial differential equations', SM 20 (1961), 171-225..- [179] (with E. M. Stein) `On the differentiability of functions', ibid.,23 (1963/1964), 247-283..- [180] (with A. P. Calderon) `On the higher gradients of harmonicfunctions', ibid., 24 (1964), 211-226..- [182] (with E. M. Stein) `On the fractional differentiability of functions', Proc. London Math. Soc. (3) 14A (1965), 249-264..- [187] (with E. M. Stein) `Boundedness of translation invariant operators on Hoelder spaces and LpAspaces', Ann. of Math. (2) 85 (1967), 337-349..- [192] (with M. Weiss) `On multipliers preserving convergence of trigonometric series almost everywhere', SM 30 (1968), 111-120..- [196] `On certain lemmas of Marcinkiewicz and Carleson', J. Approx. Theory 2 (1969), 249-257..- [202] `A Cantor-Lebesgue theorem for double trigonometric series', SM 43 (1972), 173-178..- [212] (with A. P. Calderon) `A note on singular integrals', ibid., 65 (1979), 77-87..
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