Harmonic Analysis (eBook)

Real-Variable Methods, Orthogonality, and Oscillatory Integrals

Elias M. Stein (Autor)

eBook Download: PDF

2016
Princeton University Press (Verlag)
978-1-4008-8392-9 (ISBN)

Infos

Elias M. Stein is Professor of Mathematics at Princeton University.

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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.

Produkt-Details

• Erscheint lt. Verlag: 2.6.2016
• Reihe/Serie: Princeton Mathematical Series
• Reihe/Serie: Princeton Mathematical Series
• Zusatzinfo: 18 line illus.
• Verlagsort: Princeton
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Schlagworte: Addition • analytic function • Asymptote • asymptotic analysis • asymptotic expansion • asymptotic formula • automorphism • Axiom • Banach space • Bessel function • Big O notation • bilinear form • Borel measure • Boundary value problem • bounded function • bounded mean oscillation • boundedness • bounded operator • Cancellation property • Cauchy–Riemann equations • Cauchy's Integral Theorem • Characteristic Polynomial • Characterization (mathematics) • commutative property • commutator • Complex Analysis • convolution • differential equation • Differential operator • Dimension • Dimension (vector space) • Dirac delta function • Dirichlet problem • elliptic operator • existential quantification • Fatou's theorem • fourier analysis • Fourier Integral Operator • Fourier inversion theorem • Fourier series • Fourier transform • Fubini's Theorem • Function (mathematics) • fundamental solution • Gaussian curvature • Hardy space • Harmonic Analysis • Harmonic function • Heisenberg group • hilbert space • Hilbert transform • Hölder's inequality • holomorphic function • Infimum and supremum • integral transform • interpolation theorem • Lagrangian (field theory) • Laplace's equation • Lebesgue measure • Lie algebra • Linear map • Line segment • Lipschitz continuity • Locally integrable function • Marcinkiewicz interpolation theorem • Martingale (probability theory) • Mathematical Induction • maximal function • Meromorphic Function • multiplication operator • Nilpotent Lie algebra • Norm (mathematics) • Number Theory • operator theory • Order of integration (calculus) • orthogonality • Oscillatory integral • Poisson summation formula • Projection (linear algebra) • Pseudoconvexity • pseudo-differential operator • rectangle • Riesz transform • Several Complex Variables • Sign (mathematics) • Singular integral • Sobolev Space • Special case • spectral theory • Square (algebra) • stochastic differential equation • subharmonic function • submanifold • Summation • Support (mathematics) • Theorem • Translational symmetry • uniqueness theorem • Variable (mathematics) • Vector field
• ISBN-10: 1-4008-8392-X / 140088392X
• ISBN-13: 978-1-4008-8392-9 / 9781400883929