Harmonic analysis : real-variable methods, orthogonality, and oscillatory integrals

著者

• Stein, Elias M.
• Murphy, Timothy S.

書誌事項

Harmonic analysis : real-variable methods, orthogonality, and oscillatory integrals

Elias M. Stein ; with the assistance of Timothy S. Murphy

Princeton University Press, 1993

タイトル別名

Monographs in harmonic analysis

注記

Includes bibliography (p. 645-678) and author and subject indexes

"Princeton mathematical series ; 43"--CIP

内容説明・目次

内容説明

This book contains an exposition of some of the main developments of the last twenty years in the following areas of harmonic analysis: singular integral and pseudo-differential operators, the theory of Hardy spaces, L\sup\ estimates involving oscillatory integrals and Fourier integral operators, relations of curvature to maximal inequalities, and connections with analysis on the Heisenberg group.

目次

PrefaceGuide to the ReaderPrologue3IReal-Variable Theory7IIMore About Maximal Functions49IIIHardy Spaces87IVH[superscript 1] and BMO139VWeighted Inequalities193VIPseudo-Differential and Singular Integral Operators: Fourier Transform228VIIPseudo-Differential and Singular Integral Operators: Almost Orthogonality269VIIIOscillatory Integrals of the First Kind329IXOscillatory Integrals of the Second Kind375XMaximal Operators: Some Examples433XIMaximal Averages and Oscillatory Integrals467XIIIntroduction to the Heisenberg Group527XIIIMore About the Heisenberg Group587Bibliography645Author Index679Subject Index685

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA20790453
• ISBN:
  • 9780691032160
• LCCN: 92044035
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Princeton, N.J.
• ページ数/冊数: xiii, 695 p.
• 大きさ: 25 cm
• 分類:
  • LCC : QA403.3
  • DC20 : 515/.785
  • NDC8 : 413.54
• 件名:
  • LCSH : Harmonic analysis