03605nam 22005415 450 991087466450332120240721125229.09783031565007(electronic bk.)978303156499410.1007/978-3-031-56500-7(MiAaPQ)EBC31539088(Au-PeEL)EBL31539088(CKB)33109639800041(MiAaPQ)EBC31539866(Au-PeEL)EBL31539866(DE-He213)978-3-031-56500-7(EXLCZ)993310963980004120240721d2024 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierFundamentals of Fourier Analysis /by Loukas Grafakos1st ed. 2024.Cham :Springer International Publishing :Imprint: Springer,2024.1 online resource (416 pages)Graduate Texts in Mathematics,2197-5612 ;302Print version: Grafakos, Loukas Fundamentals of Fourier Analysis Cham : Springer International Publishing AG,c2024 9783031564994 1 Introductory Material -- 2 Fourier Transforms, Tempered Distributions, Approximate Identities -- 3 Singular Integrals -- 4 Vector-Valued Singular Integrals and Littlewood–Paley Theory -- 5 Fractional Integrability or Differentiability and Multiplier Theorems -- 6 Bounded Mean Oscillation -- 7 Hardy Spaces -- 8 Weighted Inequalities -- Historical Notes -- Appendix A Orthogonal Matrices -- Appendix B Subharmonic Functions -- Appendix C Poisson Kernel on the Unit Strip -- Appendix D Density for Subadditive Operators -- Appendix E Transposes and Adjoints of Linear Operators -- Appendix F Faa di Bruno Formula -- Appendix G Besicovitch Covering Lemma -- Glossary -- References -- Index.This self-contained text introduces Euclidean Fourier Analysis to graduate students who have completed courses in Real Analysis and Complex Variables. It provides sufficient content for a two course sequence in Fourier Analysis or Harmonic Analysis at the graduate level. In true pedagogical spirit, each chapter presents a valuable selection of exercises with targeted hints that will assist the reader in the development of research skills. Proofs are presented with care and attention to detail. Examples are provided to enrich understanding and improve overall comprehension of the material. Carefully drawn illustrations build intuition in the proofs. Appendices contain background material for those that need to review key concepts. Compared with the author’s other GTM volumes (Classical Fourier Analysis and Modern Fourier Analysis), this text offers a more classroom-friendly approach as it contains shorter sections, more refined proofs, and a wider range of exercises. Topics include the Fourier Transform, Multipliers, Singular Integrals, Littlewood–Paley Theory, BMO, Hardy Spaces, and Weighted Estimates, and can be easily covered within two semesters.Graduate Texts in Mathematics,2197-5612 ;302Fourier analysisHarmonic analysisFourier AnalysisAbstract Harmonic AnalysisFourier analysis.Harmonic analysis.Fourier Analysis.Abstract Harmonic Analysis.515.2433Grafakos Loukas298204MiAaPQMiAaPQMiAaPQ9910874664503321Fundamentals of Fourier Analysis4183629UNINA01554oam 2200301z- 450 991015628300332120230906203136.01-928122-76-0(CKB)3710000000985835(BIP)055250740(Exl-AI)993710000000985835(EXLCZ)99371000000098583520210505c2016uuuu -u- -engSEALs of Honor: HawkValley Publishing1 online resource (220 p.) Finding a dead man is a hell of a way to start a holiday. Growing up, Hawk was always a bit of a wild card. Once he became a SEAL, he found his niche in the world. But the wild man was still there, under wraps ...and waiting for a match. Back home for a few days, he realizes a new, darker element has moved in.And it appears to involve the freckle-faced redhead he never forgot. Mia remembers her best friend's brother. After all, what woman could forget him? He was like fireworks lighting up her life. Taking her breath away and making her heart beat faster. But the version that came home was harder, more dangerous ... and sexy as hell.Good thing he's on their side as the town explodes in violence with Mia caught in the middle.SEALs of HonorRomance fictionGenerated by AIUrban violenceGenerated by AIRomance fictionUrban violenceMayer Dale1374017BOOK9910156283003321SEALs of Honor: Hawk3585986UNINA