bookJan 1, 2002Closed access

Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals

EMElias M. SteinTSTimothy S Murphy

Abstract

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

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Topics & keywords

Topics
Keywords
  • Singular integral operators
  • Fourier integral operator
  • Mathematics
  • Orthogonality
  • Singular integral
  • Variable (mathematics)
  • Microlocal analysis
  • Fourier transform
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