04197nam 22012375 450 991015475060332120190708092533.01-4008-8195-110.1515/9781400881956(CKB)3710000000622806(MiAaPQ)EBC4738624(DE-B1597)468019(OCoLC)979968811(DE-B1597)9781400881956(EXLCZ)99371000000062280620190708d2016 fg engurcnu||||||||rdacontentrdamediardacarrierContributions to Fourier Analysis. (AM-25) /W. Transue, Antoni ZygmundPrinceton, NJ : Princeton University Press, [2016]©19501 online resource (196 pages)Annals of Mathematics Studies ;2960-691-07930-7 Frontmatter -- CONTENTS -- I. LOCALIZATION OF BEST APPROXIMATION / Bochner, S. -- II. DIRICHLET PROBLEM FOR DOMAINS BOUNDED BY SPHERES / Bochner, S. -- III. THE FRÉCHET VARIATION AND PRINGSHEIM CONVERGENCE OF DOUBLE FOURIER SERIES / Morse, Marston / Transue, William -- IV. NORMS OF DISTRIBUTION FUNCTIONS ASSOCIATED WITH BILINEAR FUNCTIONALS / Morse, Marston / Transue, William -- V. NOTE ON THE BOUNDARY VALUES OF FUNCTIONS OF SEVERAL COMPLEX VARIABLES / Caldéron, A. P. / Zygmund, A. -- VI. ON THE THEOREM OF HAUSDORFF-YOUNG AND ITS EXTENSIONS / Caldéron, A. P. / Zygmund, A. The description for this book, Contributions to Fourier Analysis. (AM-25), will be forthcoming.Annals of mathematics studies ;Number 25.Fourier analysisAbsolute value.Almost periodic function.Approximation.Bessel function.Bilinear map.Boundary value problem.Characterization (mathematics).Coefficient.Compact space.Comparison theorem.Conservative vector field.Constant function.Continuous function.Corollary.Counterexample.Diagonalization.Diagram (category theory).Diameter.Dimension.Dirichlet kernel.Dirichlet problem.Dirichlet's principle.Distribution function.Exponential polynomial.Exponential sum.Fourier analysis.Fourier series.Fourier transform.Harmonic function.Hilbert space.Hölder's inequality.Integer.Interpolation theorem.Linear combination.Lp space.Measurable function.Measure (mathematics).Partial derivative.Partial differential equation.Periodic function.Poisson formula.Polynomial.Power series.Quantity.Rectangle.Remainder.Semicircle.Several complex variables.Sign (mathematics).Simple function.Special case.Sphere.Square root.Step function.Subsequence.Subset.Theorem.Theory.Triangle inequality.Two-dimensional space.Uniform continuity.Uniform convergence.Variable (mathematics).Vector field.Vector space.Fourier analysis.517.35Zygmund Antoni, 41160Transue W., DE-B1597DE-B1597BOOK9910154750603321Contributions to Fourier Analysis. (AM-25)2785745UNINA