Referensi untuk Jilid 2

© 2000

Referensi untuk Jilid 2

Alexits G. [78] (ed.) Fourier Analysis and Approximation Theory. North-Holland, 1978 (Colloq. Math. Soc. Janos Bolyai 19).

Antonov N.Yu. [96] ‘Convergence of Fourier series’, East J. Approx. 7 (1996) 187-196. [§286 catatan.]

Arias de Reyna J. [02] Pointwise Convergence of Fourier Series. Springer, 2002 (Lecture Notes in Mathematics 1785). [§286 catatan.]

Baker R. [04] ‘“Lebesgue measure” on \(\Bbb R^{\infty}\), II’, Proc. Amer. Math. Soc. 132 (2004) 2577-2591. [254Yb.]

Bergelson V., March P. & Rosenblatt J. [96] (eds.) Convergence in Ergodic Theory and Probability. de Gruyter, 1996.

Bogachev V.I. [07] Measure theory. Springer, 2007.

du Bois-Reymond P. [1876] ‘Untersuchungen über die Convergenz und Divergenz der Fouriersche Darstellungformeln’, Abh. Akad. München 12 (1876) 1-103. [§282 catatan.]

Bourbaki N. [66] General Topology. Hermann/Addison-Wesley, 1968. [2A5F.]

Bourbaki N. [87] Topological Vector Spaces. Springer, 1987. [2A5E.]

Carleson L. [66] ‘On convergence and growth of partial sums of Fourier series’, Acta Math. 116 (1966) 135-157. [§282 notes, §286 pendahuluan, §286 catatan.]

Clarkson J.A. [36] ‘Uniformly convex spaces’, Trans. Amer. Math. Soc. 40 (1936) 396-414. [244O.]

Defant A. & Floret K. [93] Tensor Norms and Operator Ideals, North-Holland, 1993. [§253 catatan.]

Doob J.L. [53] Stochastic Processes. Wiley, 1953.

Dudley R.M. [89] Real Analysis and Probability. Wadsworth & Brooks/Cole, 1989. [§282 catatan.]

Dunford N. & Schwartz J.T. [57] Linear Operators I. Wiley, 1957 (reprinted 1988). [§244 catatan, 2A5J.]

Enderton H.B. [77] Elements of Set Theory. Academic, 1977. [§2A1.]

Engelking R. [89] General Topology. Heldermann, 1989 (Sigma Series in Pure Mathematics 6). [2A5F.]

Etemadi N. [96] ‘On convergence of partial sums of independent random variables’, pp. 137-144 in Bergelson March & Rosenblatt 96. [272V.]

Evans L.C. & Gariepy R.F. [92] Measure Theory and Fine Properties of Functions. CRC Press, 1992. [263Ec, §265 catatan.]

Federer H. [69] Geometric Measure Theory. Springer, 1969 (reprinted 1996). [262C, 263Ec, §264 catatan, §265 catatan, §266 catatan.]

Feller W. [66] An Introduction to Probability Theory and its Applications, vol. II. Wiley, 1966. [Chap. 27 intro., 274H, 275Xc, 285N.]

Fremlin D.H. [74] Topological Riesz Spaces and Measure Theory. Cambridge U.P., 1974. [§232 catatan, 241F, §244 catatan, §245 catatan, §247 catatan.]

Fremlin D.H. [93] ‘Real-valued-measurable cardinals’, pp. 151-304 in Judah 93. [232H.]

Haimo D.T. [67] (ed.) Orthogonal Expansions and their Continuous Analogues. Southern Illinois University Press, 1967.

Hall P. [82] Rates of Convergence in the Central Limit Theorem. Pitman, 1982. [274H.]

Halmos P.R. [50] Measure Theory. Van Nostrand, 1950. [§251 catatan, §252 catatan, 255Yn.]

Halmos P.R. [60] Naive Set Theory. Van Nostrand, 1960. [§2A1.]

Hanner O. [56] ‘On the uniform convexity of \(L^p\) and \(l^p\)’, Arkiv för Matematik 3 (1956) 239-244. [244O.]

Henle J.M. [86] An Outline of Set Theory. Springer, 1986. [§2A1.]

Hoeffding W. [63] ‘Probability inequalities for sums of bounded random variables’, J. Amer. Statistical Association 58 (1963) 13-30. [272W.]

Hunt R.A. [67] ‘On the convergence of Fourier series’, pp. 235-255 in Haimo 67. [§286 catatan.]

Jorsbøe O.G. & Mejlbro L. [82] The Carleson-Hunt Theorem on Fourier Series. Springer, 1982 (Lecture Notes in Mathematics 911). [§286 catatan.]

Judah H. [93] (ed.) Proceedings of the Bar-Ilan Conference on Set Theory and the Reals, 1991. Amer. Math. Soc. (Israel Mathematical Conference Proceedings 6), 1993.

Kelley J.L. [55] General Topology. Van Nostrand, 1955. [2A5F.]

Kelley J.L. & Namioka I. [76] Linear Topological Spaces. Springer, 1976. [2A5C.]

Kirszbraun M.D. [34] ‘Über die zusammenziehenden und Lipschitzian Transformationen’, Fund. Math. 22 (1934) 77-108. [262C.]

Kolmogorov A.N. [1926] ‘Une série de Fourier-Lebesgue divergente partout’, C. R. Acad. Sci. Paris 183 (1926) 1327-1328. [§282 catatan.]

Komlós J. [67] ‘A generalization of a problem of Steinhaus’, Acta Math. Acad. Sci. Hung. 18 (1967) 217-229. [276H.]

Körner T.W. [88] Fourier Analysis. Cambridge U.P., 1988. [§282 catatan.]

Köthe G. [69] Topological Vector Spaces I. Springer, 1969. [2A5C, 2A5E, 2A5J.]

Krivine J.-L. [71] Introduction to Axiomatic Set Theory. D. Reidel, 1971. [§2A1.]

Lacey M.T. [05] Carleson’s Theorem: Proof, Complements, Variations. http://arxiv.org/pdf/math0307008v4.pdf.

[§286 catatan.]

Lacey M.T. & Thiele C.M. [00] ‘A proof of boundedness of the Carleson operator’, Math. Research Letters 7 (2000) 1-10. [§286 pendahuluan, 286H.]

Lebesgue H. [72] Oeuvres Scientifiques. L’Enseignement Mathématique, Institut de Mathématiques, Univ. de Genève, 1972. [Chap. 27 pendahuluan]

Liapounoff A. [1901] ‘Nouvelle forme du théorème sur la limite de probabilité’, Mém. Acad. Imp. Sci. St-Pétersbourg 12(5) (1901) 1-24. [274Xh.]

Lighthill M.J. [59] Introduction to Fourier Analysis and Generalised Functions. Cambridge U.P., 1959. [§284 catatan.]

Lindeberg J.W. [1922] ‘Eine neue Herleitung des Exponentialgesetzes in der Wahrscheinlichkeitsrechnung’, Math. Zeitschrift 15 (1922) 211-225. [274H, §274 catatan.]

Lipschutz S. [64] Set Theory and Related Topics. McGraw-Hill, 1964 (Schaum’s Outline Series). [§2A1.]

Loève M. [77] Probability Theory I. Springer, 1977. [Chap. 27 pendahuluan, 274H.]

Luxemburg W.A.J. & Zaanen A.C. [71] Riesz Spaces I. North-Holland, 1971. [241F.]

Mozzochi C.J. [71] On the Pointwise Convergence of Fourier Series. Springer, 1971 (Lecture Notes in Mathematics 199). [§286 catatan.]

Naor A. [04] ‘Proof of the uniform convexity lemma’, http://www.cims.nyu.edu/\(^{\sim}\)naor/homepage files/ inequality.pdf, 26.2.04. [244O.]

Rényi A. [70] Probability Theory. North-Holland, 1970. [274H.]

Roitman J. [90] An Introduction to Set Theory. Wiley, 1990. [§2A1.]

Roselli P. & Willem M. [02] ‘A convexity inequality’, Amer. Math. Monthly 109 (2002) 64-70. [244Ym.]

Schipp F. [78] ‘On Carleson’s method’, pp. 679-695 in Alexits 78. [§286 catatan.]

Semadeni Z. [71] Banach spaces of continuous functions I. Polish Scientific Publishers, 1971. [§253 catatan.]

Shiryayev A. [84] Probability. Springer, 1984. [285N.]

Steele J.M. [86] ‘An Efron-Stein inequality of nonsymmetric statistics’, Annals of Statistics 14 (1986) 753-758. [274Ya.]

Zaanen A.C. [83] Riesz Spaces II. North-Holland, 1983. [241F.]

Zygmund A. [59] Trigonometric Series. Cambridge U.P, 1959. [§244 catatan, §282 catatan, 284Xk.]