LEADER 04409nam 22006855 450 001 9910299989103321 005 20230628125216.0 010 $a1-4939-1230-5 024 7 $a10.1007/978-1-4939-1230-8 035 $a(CKB)3710000000306052 035 $a(SSID)ssj0001386620 035 $a(PQKBManifestationID)11884095 035 $a(PQKBTitleCode)TC0001386620 035 $a(PQKBWorkID)11374513 035 $a(PQKB)10991484 035 $a(DE-He213)978-1-4939-1230-8 035 $a(MiAaPQ)EBC6311862 035 $a(MiAaPQ)EBC5595500 035 $a(Au-PeEL)EBL5595500 035 $a(OCoLC)895669795 035 $a(PPN)183096061 035 $a(EXLCZ)993710000000306052 100 $a20141113d2014 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aModern Fourier Analysis /$fby Loukas Grafakos 205 $a3rd ed. 2014. 210 1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d2014. 215 $a1 online resource (XVI, 624 p. 20 illus., 1 illus. in color.) 225 1 $aGraduate Texts in Mathematics,$x0072-5285 ;$v250 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a1-4939-1229-1 327 $aPreface -- Smoothness and Function Spaces -- BMO and Carleson Measures -- Singular Integrals of Nonconvolution Type -- Weighted Inequalities -- Boundedness and Convergence of Fourier Integrals -- Time-Frequency Analysis and the Carleson-Hunt Theorem -- Multilinear Harmonic Analysis -- Glossary -- References -- Index. 330 $aThis text is addressed to graduate students in mathematics and to interested researchers who wish to acquire an in depth understanding of Euclidean Harmonic analysis. The text covers modern topics and techniques in function spaces, atomic decompositions, singular integrals of nonconvolution type, and the boundedness and convergence of Fourier series and integrals. The exposition and style are designed to stimulate further study and promote research. Historical information and references are included at the end of each chapter. This third edition includes a new chapter entitled "Multilinear Harmonic Analysis" which focuses on topics related to multilinear operators and their applications. Sections 1.1 and 1.2 are also new in this edition. Numerous corrections have been made to the text from the previous editions and several improvements have been incorporated, such as the adoption of clear and elegant statements. A few more exercises have been added with relevant hints when necessary. Reviews from the Second Edition: ?The books cover a large amount of mathematics. They are certainly a valuable and useful addition to the existing literature and can serve as textbooks or as reference books. Students will especially appreciate the extensive collection of exercises.? ?Andreas Seeger, Mathematical Reviews ?The exercises at the end of each section supplement the material of the section nicely and provide a good chance to develop additional intuition and deeper comprehension. The historical notes in each chapter are intended to provide an account of past research as well as to suggest directions for further investigation. The volume is mainly addressed to graduate students who wish to study harmonic analysis.? ?Leonid Golinskii, zbMATH. 410 0$aGraduate Texts in Mathematics,$x0072-5285 ;$v250 606 $aFourier analysis 606 $aHarmonic analysis 606 $aFunctional analysis 606 $aFourier Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12058 606 $aAbstract Harmonic Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12015 606 $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066 615 0$aFourier analysis. 615 0$aHarmonic analysis. 615 0$aFunctional analysis. 615 14$aFourier Analysis. 615 24$aAbstract Harmonic Analysis. 615 24$aFunctional Analysis. 676 $a515.2433 700 $aGrafakos$b Loukas$4aut$4http://id.loc.gov/vocabulary/relators/aut$0298204 701 $aGrafakos$b Loukas$0298204 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299989103321 996 $aModern Fourier analysis$9229859 997 $aUNINA