000 | 01273cam a2200193 a 4500 | ||
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001 | 3349978 | ||
010 | _a 86001096 | ||
020 | _a9780486435084 | ||
082 | 0 | 0 |
_a515..2433 _bTOR/R |
100 | 1 | _aTorchinsky, Alberto. | |
245 | 1 | 0 | _aReal-variable methods in harmonic analysis / |
260 |
_aOrlando : _bAcademic Press, _c1986. |
||
300 |
_axii, 462 p. : _bill. ; |
||
490 | 1 | _aPure and applied mathematics ; | |
500 | _aIncludes index. | ||
520 | _a"A very good choice." — MathSciNet, American Mathematical Society An exploration of the unity of several areas in harmonic analysis, this self-contained text emphasizes real-variable methods. Appropriate for advanced undergraduate and graduate students, it starts with classical Fourier series and discusses summability, norm convergence, and conjugate function. An examination of the Hardy-Littlewood maximal function and the Calderón-Zygmund decomposition is followed by explorations of the Hilbert transform and properties of harmonic functions. Additional topics include the Littlewood-Paley theory, good lambda inequalities, atomic decomposition of Hardy spaces, Carleson measures, Cauchy integrals on Lipschitz curves, and boundary value problems. | ||
650 | 0 |
_aHarmonic analysis. _aMathematics |
|
942 | _cBK | ||
999 |
_c66598 _d66598 |