TY - BOOK ID - 31216911 TI - Introduction to Fourier Analysis on Euclidean Spaces (PMS-32). PY - 2016 VL - 32 SN - 140088389X 069108078X 9781400883899 9780691080789 PB - Princeton University Press DB - UniCat KW - Harmonic analysis. KW - Harmonic functions. KW - Functions, Harmonic KW - Laplace's equations KW - Analysis (Mathematics) KW - Functions, Potential KW - Potential functions KW - Harmonic analysis. Fourier analysis KW - Harmonic analysis KW - Fourier analysis KW - Harmonic functions KW - Analyse harmonique KW - Analyse de Fourier KW - Fonctions harmoniques KW - Fourier Analysis KW - Fourier, Transformations de KW - Euclide, Espaces d' KW - Bessel functions KW - Differential equations, Partial KW - Fourier series KW - Lamé's functions KW - Spherical harmonics KW - Toroidal harmonics KW - Banach algebras KW - Time-series analysis KW - Analysis, Fourier KW - Fourier analysis. KW - Basic Sciences. Mathematics KW - Analysis, Functions KW - Analysis, Functions. KW - Calculus KW - Mathematical analysis KW - Mathematics KW - Fourier, Transformations de. KW - Euclide, Espaces d'. KW - Potentiel, Théorie du KW - Fonctions harmoniques. KW - Potential theory (Mathematics) KW - Analytic continuation. KW - Analytic function. KW - Banach algebra. KW - Banach space. KW - Bessel function. KW - Borel measure. KW - Boundary value problem. KW - Bounded operator. KW - Bounded set (topological vector space). KW - Cartesian coordinate system. KW - Cauchy–Riemann equations. KW - Change of variables. KW - Characteristic function (probability theory). KW - Characterization (mathematics). KW - Complex plane. KW - Conformal map. KW - Conjugate transpose. KW - Continuous function (set theory). KW - Continuous function. KW - Convolution. KW - Differentiation of integrals. KW - Dimensional analysis. KW - Dirichlet problem. KW - Disk (mathematics). KW - Distribution (mathematics). KW - Equation. KW - Euclidean space. KW - Existential quantification. KW - Fourier inversion theorem. KW - Fourier series. KW - Fourier transform. KW - Fubini's theorem. KW - Function (mathematics). KW - Function space. KW - Green's theorem. KW - Hardy's inequality. KW - Hardy–Littlewood maximal function. KW - Harmonic function. KW - Hermitian matrix. KW - Hilbert transform. KW - Holomorphic function. KW - Homogeneous function. KW - Inequality (mathematics). KW - Infimum and supremum. KW - Interpolation theorem. KW - Interval (mathematics). KW - Lebesgue integration. KW - Lebesgue measure. KW - Linear interpolation. KW - Linear map. KW - Linear space (geometry). KW - Line–line intersection. KW - Liouville's theorem (Hamiltonian). KW - Lipschitz continuity. KW - Locally integrable function. KW - Lp space. KW - Majorization. KW - Marcinkiewicz interpolation theorem. KW - Mean value theorem. KW - Measure (mathematics). KW - Mellin transform. KW - Monotonic function. KW - Multiplication operator. KW - Norm (mathematics). KW - Operator norm. KW - Orthogonal group. KW - Paley–Wiener theorem. KW - Partial derivative. KW - Partial differential equation. KW - Plancherel theorem. KW - Pointwise convergence. KW - Poisson kernel. KW - Poisson summation formula. KW - Polynomial. KW - Principal value. KW - Quadratic form. KW - Radial function. KW - Radon–Nikodym theorem. KW - Representation theorem. KW - Riesz transform. KW - Scientific notation. KW - Series expansion. KW - Singular integral. KW - Special case. KW - Subharmonic function. KW - Support (mathematics). KW - Theorem. KW - Topology. KW - Total variation. KW - Trigonometric polynomial. KW - Trigonometric series. KW - Two-dimensional space. KW - Union (set theory). KW - Unit disk. KW - Unit sphere. KW - Upper half-plane. KW - Variable (mathematics). KW - Vector space. KW - Fourier, Analyse de KW - Potentiel, Théorie du. KW - Potentiel, Théorie du KW - Espaces de hardy UR - https://www.unicat.be/uniCat?func=search&query=sysid:31216911 AB - The authors present a unified treatment of basic topics that arise in Fourier analysis. Their intention is to illustrate the role played by the structure of Euclidean spaces, particularly the action of translations, dilatations, and rotations, and to motivate the study of harmonic analysis on more general spaces having an analogous structure, e.g., symmetric spaces. ER -