LEADER 05463nam 22016455 450 001 9910154749703321 005 20190708092533.0 010 $a1-4008-8199-4 024 7 $a10.1515/9781400881994 035 $a(CKB)3710000000622816 035 $a(MiAaPQ)EBC4738641 035 $a(DE-B1597)467941 035 $a(OCoLC)979580916 035 $a(DE-B1597)9781400881994 035 $a(EXLCZ)993710000000622816 100 $a20190708d2016 fg 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aLectures on Fourier Integrals. (AM-42), Volume 42 /$fSalomon Trust 210 1$aPrinceton, NJ : $cPrinceton University Press, $d[2016] 210 4$dİ1960 215 $a1 online resource (348 pages) 225 0 $aAnnals of Mathematics Studies ;$v300 311 $a0-691-07994-3 320 $aIncludes bibliographical references and index. 327 $tFrontmatter -- $tCONTENTS -- $tCHAPTER I. BASIC PROPERTIES OF TRIGONOMETRIC INTEGRALS -- $tCHAPTER II. REPRESENTATION - AND SUM FORMULAS -- $tCHAPTER III. THE FOURIER INTEGRAL THEOREM -- $tCHAPTER IV. STIELTJES INTEGRALS -- $tCHAPTER V. OPERATIONS WITH FUNCTIONS OF THE CLASS FO -- $tCHAPTER VI. GENERALIZED TRIGONOMETRIC INTEGRALS -- $tCHAPTER VII. ANALYTIC AND HARMONIC FUNCTIONS -- $tCHAPTER VIII. QUADRATIC INTEGRABILITV -- $tCHAPTER IX. FUNCTIONS OF SEVERAL VARIABLES -- $tAPPENDIX -- $tREMARKS - QUOTATIONS -- $tMONOTONIC FUNCTIONS, STIELTJES INTEGRALS AND HARMONIC ANALYSIS -- $tSYMBOLS 330 $aThe description for this book, Lectures on Fourier Integrals. (AM-42), Volume 42, will be forthcoming. 410 0$aAnnals of mathematics studies ;$vNumber 42. 606 $aFourier series 606 $aIntegrals 606 $aHarmonic analysis 610 $aAbscissa. 610 $aAbsolute value. 610 $aAbsolutely integrable function. 610 $aActa Mathematica. 610 $aAddition. 610 $aAdditive function. 610 $aAffine transformation. 610 $aAlmost periodic function. 610 $aAnalytic function. 610 $aAntiderivative. 610 $aArbitrarily large. 610 $aArithmetic mean. 610 $aAugustin-Louis Cauchy. 610 $aBernhard Riemann. 610 $aBessel function. 610 $aBig O notation. 610 $aBorel set. 610 $aBoundary layer. 610 $aBoundary value problem. 610 $aBounded function. 610 $aBounded variation. 610 $aCalculation. 610 $aCauchy principal value. 610 $aCharacteristic function (probability theory). 610 $aCoefficient. 610 $aCompact space. 610 $aCompactness theorem. 610 $aComplex number. 610 $aContinuous function. 610 $aDense set. 610 $aDerivative. 610 $aDifferentiable function. 610 $aDirichlet series. 610 $aDistribution function. 610 $aDivision by zero. 610 $aE. W. Hobson. 610 $aEigenfunction. 610 $aEigenvalues and eigenvectors. 610 $aEmpty set. 610 $aEquation. 610 $aExistential quantification. 610 $aExponential polynomial. 610 $aExterior (topology). 610 $aFourier transform. 610 $aFunction (mathematics). 610 $aFunctional equation. 610 $aGamma function. 610 $aGenerating function. 610 $aHarmonic function. 610 $aInitial point. 610 $aInteger. 610 $aIntegral equation. 610 $aInterval (mathematics). 610 $aLimit of a sequence. 610 $aLine (geometry). 610 $aLinear combination. 610 $aLinear differential equation. 610 $aMathematische Annalen. 610 $aMean value theorem. 610 $aMonotonic function. 610 $aNull set. 610 $aOrder of integration (calculus). 610 $aOrder of integration. 610 $aOrder of magnitude. 610 $aParameter. 610 $aPartial derivative. 610 $aPartial fraction decomposition. 610 $aPoisson formula. 610 $aPoisson summation formula. 610 $aPolar coordinate system. 610 $aPolynomial. 610 $aPower series. 610 $aPrincipal part. 610 $aRapidity. 610 $aRational function. 610 $aRational number. 610 $aReal variable. 610 $aRemainder. 610 $aRequirement. 610 $aSet function. 610 $aSign (mathematics). 610 $aSmoothness. 610 $aSpecial case. 610 $aState function. 610 $aStep function. 610 $aSubsequence. 610 $aSummation. 610 $aTheorem. 610 $aTotal variation. 610 $aTrigonometric integral. 610 $aUniform convergence. 610 $aUniqueness theorem. 610 $aVariable (mathematics). 615 0$aFourier series. 615 0$aIntegrals. 615 0$aHarmonic analysis. 676 $a517.355 700 $aTrust$b Salomon, $0851525 701 $aPollard$b Harry$040702 701 $aTenenbaum$b Morris$0444517 801 0$bDE-B1597 801 1$bDE-B1597 906 $aBOOK 912 $a9910154749703321 996 $aLectures on Fourier Integrals. (AM-42), Volume 42$92786237 997 $aUNINA