Summability of Multi-Dimensional Fourier Series and Hardy Spaces: 541 (Mathematics and Its Applications, 541) - Image 1

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Springer Summability of Multi-Dimensional Fourier Series and Hardy Spaces: 541 (Mathematics and Its Applications, 541)

Name: Summability of Multi-Dimensional Fourier Series and Hardy Spaces: 541 (Mathematics and Its Applications, 541)
Brand: Springer
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The history of martingale theory goes back to the early fifties when Doob [57] pointed out the connection between martingales and analytic functions. On the basis of Burkholder's scientific achievements the mar tingale theory can perfectly well be applied in complex analysis and in the theory of classical Hardy spaces. This connection is the main point of Durrett's book [60]. The martingale theory can also be well applied in stochastics and mathematical finance. The theories of the one-parameter martingale and the classical Hardy spaces are discussed exhaustively in the literature (see Garsia [83], Neveu [138], Dellacherie and Meyer [54, 55], Long [124], Weisz [216] and Duren [59], Stein [193, 194], Stein and Weiss [192], Lu [125], Uchiyama [205]). The theory of more-parameter martingales and martingale Hardy spaces is investigated in Imkeller [107] and Weisz [216]. This is the first mono graph which considers the theory of more-parameter classical Hardy spaces. The methods of proofs for one and several parameters are en tirely different; in most cases the theorems stated for several parameters are much more difficult to verify. The so-called atomic decomposition method that can be applied both in the one-and more-parameter cases, was considered for martingales by the author in [216].

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Brand: Springer
Format: paperback
ASIN: 904815992X
Category: Books > Subjects > Health, Family & Lifestyle
Domain: Amazon UK
Release Date: 07 December 2010
Listed Since: 20 September 2010

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Springer Summability of Multi-Dimensional Fourier Series and Hardy Spaces: 541 (Mathematics and Its Applications, 541)

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