Harmonic Analysis (PMS-43), Volume 43
Elias M. Stein
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Naturwissenschaften, Medizin, Informatik, Technik / Mathematik
Beschreibung
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.
Kundenbewertungen
Fourier transform, Translational symmetry, Oscillatory integral, Hölder's inequality, Fubini's theorem, Pseudo-differential operator, Gaussian curvature, Meromorphic function, Spectral theory, Fourier analysis, Interpolation theorem, Subharmonic function, Norm (mathematics), Harmonic analysis, Existential quantification, Lie algebra, Holomorphic function, Function (mathematics), Hilbert space, Bounded operator, Convolution, Rectangle, Laplace's equation, Riesz transform, Lebesgue measure, Banach space, Integral transform, Asymptotic formula, Projection (linear algebra), Dirichlet problem, Elliptic operator, Martingale (probability theory), Commutative property, Locally integrable function, Fatou's theorem, Analytic function, Boundedness, Characterization (mathematics), Fourier integral operator, Bessel function, Heisenberg group, Boundary value problem, Lipschitz continuity, Characteristic polynomial, Cauchy's integral theorem, Theorem, Square (algebra), Order of integration (calculus), Automorphism, Variable (mathematics), Support (mathematics), Maximal function, Differential operator, Harmonic function, Special case, Commutator, Submanifold, Bounded mean oscillation, Nilpotent Lie algebra, Cauchy–Riemann equations, Fundamental solution, Hardy space, Orthogonality, Vector field, Dirac delta function, Fourier inversion theorem, Marcinkiewicz interpolation theorem, Hilbert transform, Poisson summation formula, Singular integral