000 03424nam a2200445 i 4500
008 080904s2009 nyua b 001 0 eng c
010 _a2008938592
020 _a9780387094335
_qacid-free paper
020 _a0387094334
_qacid-free paper
020 _z9780387094342
_qe-ISBN
020 _z0387094342
_qe-ISBN
035 _a(OCoLC)248979166
_z(OCoLC)299239518
040 _aUKM
_beng
_erda
_cUKM
_dCDX
_dOHX
_dIQU
_dYDXCP
_dMUQ
_dDLC
_dIG#
_dHEBIS
_dSTF
_dDEBBG
_dOCLCQ
_dOCL
_dOQ@
_dDEBSZ
_dMUU
_dUKMGB
_dOTC
_dBAUN
049 _aBAUN_MERKEZ
050 0 4 _aQA403.5
_b.G733 2009
082 0 0 _222
100 1 _aGrafakos, Loukas.
245 1 0 _aModern Fourier analysis /
_cby Loukas Grafakos.
246 3 0 _aFourier analysis
250 _aSecond edition.
264 1 _aNew York :
_bSpringer,
_c[2009]
264 4 _c©2009
300 _axv, 504 pages :
_billustrations ;
_c24 cm.
336 _atext
_btxt
_2rdacontent
337 _aunmediated
_bn
_2rdamedia
338 _avolume
_bnc
_2rdacarrier
490 1 _aGraduate texts in mathematics ;
_v250
500 _aSecond volume of the 2nd edition of the author's Classical and modern Fourier analysis (2004). 1st volume of 2nd edition issued with title: Classical Fourier analysis.
504 _aIncludes bibliographical references (pages 487-499) and index.
505 0 0 _tSmoothness and function spaces
_t-- BMO and Carleson measures
_t-- Singular integrals of nonconvolution type
_t-- Weighted inequalities
_t-- Boundedness and convergence of Fourier integrals
_t-- Time-frequency analysis and the Carleson-Hunt theorem.
520 _a"The primary goal of these two volumes is to present the theoretical foundation of the field of Euclidean Harmonic analysis. The original edition was published as a single volume, but due to its size, scope, and the addition of new material, the second edition consists of two volumes. The present edition contains a new chapter on time-frequency analysis and the Carleson-Hunt theorem. The first volume contains the classical topics such as Interpolation, Fourier Series, the Fourier Transform, Maximal Functions, Singular Integrals, and Littlewood-Paley Theory. The second volume contains more recent topics such as Function Spaces, Atomic Decompositions, Singular Integrals of Nonconvolution Type, and Weighted Inequalities. These volumes are mainly addressed to graduate students in mathematics and are designed for a two-course sequence on the subject with additional material included for reference. The prerequisites for the first volume are satisfactory completion of courses in real and complex variables. The second volume assumes material from the first. This book is intended to present the selected topics in depth and stimulate further study. Although the emphasis falls on real variable methods in Euclidean spaces, a chapter is devoted to the fundamentals of analysis on the torus. This material is included for historical reasons, as the genesis of Fourier analysis can be found in trigonometric expansions of periodic functions in several variables."--Publisher's website.
650 0 _aFourier analysis.
650 0 _aFourier analysis
_vProblems, exercises, etc.
700 1 _aGrafakos, Loukas.
_tClassical and modern Fourier analysis.
700 1 _aGrafakos, Loukas.
_tClassical Fourier analysis.
830 0 _919347
_aGraduate texts in mathematics
900 _a25705
900 _bsatın
942 _2lcc
_cKT
999 _c21032
_d21032