000			02413nam a22002777a 4500
999			_c57028 _d57028
005			20211006163307.0
008			210728b ||||| |||| 00| 0 eng d
020			_a9781107184541
028			_a:Raghav Books Private Limited _b:A-184 Nand Gram Ghaziabad _c:11 _d:13/04/2021
082			_a515.98 NIK
100			_aNikolʹskiĭ, N. K.
245			_aHardy Spaces _c/ N K Nikolʹskiĭ
260			_aNew York, . _b:Cambridge University Press, _c2019
300			_axviii, 277 pages : illustrations _c;24 cm
365			_b5264
490			_aCambridge studies in advanced mathematics, 179.
505			_a1. The space H²(T) : an archetypal invariant subspace -- 2. The Hp(D) classes : canonical factorization and first applications -- 3. The Smirnov class D and the maximum principle -- 4. An introduction to weighted Fourier analysis -- 5. Harmonic analysis and stationary filtering -- 6. The Riemann hypothesis, dilations, and H² in the Hilbert multi-disk -- Appendix A. Key notions of integration -- Appendix B. Key notions of complex analysis -- Appendix C. Key notions of Hilbert spaces -- Appendix D. Key notions of Banach spaces -- Appendix E. Key notions of linear operators
520			_aThe theory of Hardy spaces is a cornerstone of modern analysis. It combines techniques from functional analysis, the theory of analytic functions and Lesbesgue integration to create a powerful tool for many applications, pure and applied, from signal processing and Fourier analysis to maximum modulus principles and the Riemann zeta function. This book, aimed at beginning graduate students, introduces and develops the classical results on Hardy spaces and applies them to fundamental concrete problems in analysis. The results are illustrated with numerous solved exercises that also introduce subsidiary topics and recent developments. The reader's understanding of the current state of the field, as well as its history, are further aided by engaging accounts of important contributors and by the surveys of recent advances (with commented reference lists) that end each chapter. Such broad coverage makes this book the ideal source on Hardy spaces."--Publisher's description.
650			_aMathematics
650			_aAnalysis
650			_aHardy spaces.
650			_aFunctions of complex variables.
650			_aHolomorphic functions.
700			_aNikolʹskiĭ, N. K.
942			_cBOOK