Selected Papers of Antoni Zygmund: Volume 3

ISBN-13: 9789401069625 / Angielski / Miękka / 2013 / 457 str.

A. Hulanicki;P. Wojtaszczyk;W. Zelazko

Opis

'Et moi ...si 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.

Spis treści

[141] (with A. P. Calderón) ‘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. Calderón) ‘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. Calderón) ‘Singular integrals and periodic functions’, SM 14 (1954), 249–271..- [151] (with R. Salem) ‘Sur un théorème de Piatetçki-Shapiro’, CRAS 240 (1955), 2040–2042..- [153] (with A. P. Calderón) ‘On a problem of Mihlin’,TAMS 78(1955), 209–224..- [164] (with A. P. Calderón) ‘Addenda to the paper “On a problem ofMihlin”’, ibid., 84 (1957), 559–560..- [155] (with A. P. Calderón) ‘A note on the interpolation of sublinearoperations’, Amer. J. Math. 78 (1956), 282–288..- [156] (with A. P. Calderón) ‘On singular integrals’, ibid., 289–309..- [157] (with A. P. Calderón) ‘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. Calderón) ‘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. Calderón) ‘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. Calderón) ‘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 Hölder 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. Calderón) ‘A note on singular integrals’, ibid., 65 (1979), 77–87..