05463nam 22016455 450 991015474970332120190708092533.01-4008-8199-410.1515/9781400881994(CKB)3710000000622816(MiAaPQ)EBC4738641(DE-B1597)467941(OCoLC)979580916(DE-B1597)9781400881994(EXLCZ)99371000000062281620190708d2016 fg engurcnu||||||||rdacontentrdamediardacarrierLectures on Fourier Integrals. (AM-42), Volume 42 /Salomon TrustPrinceton, NJ : Princeton University Press, [2016]©19601 online resource (348 pages)Annals of Mathematics Studies ;3000-691-07994-3 Includes bibliographical references and index.Frontmatter -- CONTENTS -- CHAPTER I. BASIC PROPERTIES OF TRIGONOMETRIC INTEGRALS -- CHAPTER II. REPRESENTATION - AND SUM FORMULAS -- CHAPTER III. THE FOURIER INTEGRAL THEOREM -- CHAPTER IV. STIELTJES INTEGRALS -- CHAPTER V. OPERATIONS WITH FUNCTIONS OF THE CLASS FO -- CHAPTER VI. GENERALIZED TRIGONOMETRIC INTEGRALS -- CHAPTER VII. ANALYTIC AND HARMONIC FUNCTIONS -- CHAPTER VIII. QUADRATIC INTEGRABILITV -- CHAPTER IX. FUNCTIONS OF SEVERAL VARIABLES -- APPENDIX -- REMARKS - QUOTATIONS -- MONOTONIC FUNCTIONS, STIELTJES INTEGRALS AND HARMONIC ANALYSIS -- SYMBOLSThe description for this book, Lectures on Fourier Integrals. (AM-42), Volume 42, will be forthcoming.Annals of mathematics studies ;Number 42.Fourier seriesIntegralsHarmonic analysisAbscissa.Absolute value.Absolutely integrable function.Acta Mathematica.Addition.Additive function.Affine transformation.Almost periodic function.Analytic function.Antiderivative.Arbitrarily large.Arithmetic mean.Augustin-Louis Cauchy.Bernhard Riemann.Bessel function.Big O notation.Borel set.Boundary layer.Boundary value problem.Bounded function.Bounded variation.Calculation.Cauchy principal value.Characteristic function (probability theory).Coefficient.Compact space.Compactness theorem.Complex number.Continuous function.Dense set.Derivative.Differentiable function.Dirichlet series.Distribution function.Division by zero.E. W. Hobson.Eigenfunction.Eigenvalues and eigenvectors.Empty set.Equation.Existential quantification.Exponential polynomial.Exterior (topology).Fourier transform.Function (mathematics).Functional equation.Gamma function.Generating function.Harmonic function.Initial point.Integer.Integral equation.Interval (mathematics).Limit of a sequence.Line (geometry).Linear combination.Linear differential equation.Mathematische Annalen.Mean value theorem.Monotonic function.Null set.Order of integration (calculus).Order of integration.Order of magnitude.Parameter.Partial derivative.Partial fraction decomposition.Poisson formula.Poisson summation formula.Polar coordinate system.Polynomial.Power series.Principal part.Rapidity.Rational function.Rational number.Real variable.Remainder.Requirement.Set function.Sign (mathematics).Smoothness.Special case.State function.Step function.Subsequence.Summation.Theorem.Total variation.Trigonometric integral.Uniform convergence.Uniqueness theorem.Variable (mathematics).Fourier series.Integrals.Harmonic analysis.517.355Trust Salomon, 851525Pollard Harry40702Tenenbaum Morris444517DE-B1597DE-B1597BOOK9910154749703321Lectures on Fourier Integrals. (AM-42), Volume 422786237UNINA