Introduction to Fourier Analysis on Euclidean Spaces (PMS-32), Volume 32

Hae kokoteksti

E-kirja

Stein, Elias M. , author

;

Weiss, Guido , author

Princeton University Press [2016]

Tallennettuna:

Ulkoasu

1 online resource (310 p.)
Issued also in print

Kieli

englanti

Huomautukset

"A Princeton University Press E-Book"--Cover.

Julkaisija

Princeton, NJ : Princeton University Press, [2016]

Sarja

Princeton mathematical series

Luokitus

dlc QA403

Dewey-luokitus

515

Aiheet

Harmonic analysis.

Harmonic functions.

Analytic continuation.

Analytic function.

Banach algebra.

Banach space.

Bessel function.

Borel measure.

Boundary value problem.

Bounded operator.

Bounded set (topological vector space).

Cartesian coordinate system.

Cauchy–Riemann equations.

Change of variables.

Characteristic function (probability theory).

Characterization (mathematics).

Complex plane.

Conformal map.

Conjugate transpose.

Continuous function (set theory).

Continuous function.

Convolution.

Differentiation of integrals.

Dimensional analysis.

Dirichlet problem.

Disk (mathematics).

Distribution (mathematics).

Equation.

Euclidean space.

Existential quantification.

Fourier analysis.

Fourier inversion theorem.

Fourier series.

Fourier transform.

Fubini's theorem.

Function (mathematics).

Function space.

Green's theorem.

Hardy's inequality.

Hardy–Littlewood maximal function.

Harmonic analysis.

Harmonic function.

Hermitian matrix.

Hilbert transform.

Holomorphic function.

Homogeneous function.

Inequality (mathematics).

Infimum and supremum.

Interpolation theorem.

Interval (mathematics).

Lebesgue integration.

Lebesgue measure.

Linear interpolation.

Linear map.

Linear space (geometry).

Line–line intersection.

Liouville's theorem (Hamiltonian).

Lipschitz continuity.

Locally integrable function.

Lp space.

Majorization.

Marcinkiewicz interpolation theorem.

Mean value theorem.

Measure (mathematics).

Mellin transform.

Monotonic function.

Multiplication operator.

Norm (mathematics).

Operator norm.

Orthogonal group.

Paley–Wiener theorem.

Partial derivative.

Partial differential equation.

Plancherel theorem.

Pointwise convergence.

Poisson kernel.

Poisson summation formula.

Polynomial.

Principal value.

Quadratic form.

Radial function.

Radon–Nikodym theorem.

Representation theorem.

Riesz transform.

Scientific notation.

Series expansion.

Singular integral.

Special case.

Subharmonic function.

Support (mathematics).

Theorem.

Topology.

Total variation.

Trigonometric polynomial.

Trigonometric series.

Two-dimensional space.

Union (set theory).

Unit disk.

Unit sphere.

Upper half-plane.

Variable (mathematics).

Vector space.

Lisätiedot

Elias M. Stein, Guido Weiss

Muu ilmiasu

0-691-08078-X

Bibliografia

Includes bibliographical references and index.

ISBN

1-4008-8389-X

DOI

10.1515/9781400883899

Standarditunnukset

doi 10.1515/9781400883899

Huomautus kielistä

English

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Introduction to Fourier Analysis on Euclidean Spaces (PMS-32), Volume 32

Introduction to Fourier Analysis on Euclidean Spaces (PMS-32), Volume 32

Stein, Elias M.

Weiss, Guido

Harmonic analysis.

Harmonic functions.

Analytic continuation.

Analytic function.

Banach algebra.

Banach space.

Bessel function.

Borel measure.

Boundary value problem.

Bounded operator.

Bounded set (topological vector space).

Cartesian coordinate system.

Cauchy–Riemann equations.

Change of variables.

Characteristic function (probability theory).

Characterization (mathematics).

Complex plane.

Conformal map.

Conjugate transpose.

Continuous function (set theory).

Continuous function.

Convolution.

Differentiation of integrals.

Dimensional analysis.

Dirichlet problem.

Disk (mathematics).

Distribution (mathematics).

Equation.

Euclidean space.

Existential quantification.

Fourier analysis.

Fourier inversion theorem.

Fourier series.

Fourier transform.

Fubini's theorem.

Function (mathematics).

Function space.

Green's theorem.

Hardy's inequality.

Hardy–Littlewood maximal function.

Harmonic analysis.

Harmonic function.

Hermitian matrix.

Hilbert transform.

Holomorphic function.

Homogeneous function.

Inequality (mathematics).

Infimum and supremum.

Interpolation theorem.

Interval (mathematics).

Lebesgue integration.

Lebesgue measure.

Linear interpolation.

Linear map.

Linear space (geometry).

Line–line intersection.

Liouville's theorem (Hamiltonian).

Lipschitz continuity.

Locally integrable function.

Lp space.

Majorization.

Marcinkiewicz interpolation theorem.

Mean value theorem.

Measure (mathematics).

Mellin transform.

Monotonic function.

Multiplication operator.

Norm (mathematics).

Operator norm.

Orthogonal group.

Paley–Wiener theorem.

Partial derivative.

Partial differential equation.

Plancherel theorem.

Pointwise convergence.