LEADER 06694nam 22017535 450 001 9910154749103321 005 20190708092533.0 010 $a1-4008-8209-5 024 7 $a10.1515/9781400882090 035 $a(CKB)3710000000627292 035 $a(SSID)ssj0001651239 035 $a(PQKBManifestationID)16426232 035 $a(PQKBTitleCode)TC0001651239 035 $a(PQKBWorkID)13677978 035 $a(PQKB)11764379 035 $a(MiAaPQ)EBC4738672 035 $a(DE-B1597)467925 035 $a(OCoLC)979581016 035 $a(DE-B1597)9781400882090 035 $a(EXLCZ)993710000000627292 100 $a20190708d2016 fg 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt 182 $cc 183 $acr 200 00$aBeijing Lectures in Harmonic Analysis. (AM-112), Volume 112 /$fElias M. Stein 210 1$aPrinceton, NJ : $cPrinceton University Press, $d[2016] 210 4$d©1987 215 $a1 online resource (436 pages) $cillustrations 225 0 $aAnnals of Mathematics Studies ;$v335 300 $aSeven expository lectures, the basis for the Summer Symposium of Analysis in China, held at Peking University in Sept. 1984. 311 $a0-691-08418-1 311 $a0-691-08419-X 320 $aIncludes bibliographies and index. 327 $tFrontmatter -- $tTABLE OF CONTENTS -- $tPREFACE -- $tNON-LINEAR HARMONIC ANALYSIS, OPERATOR THEORY AND P.D.E. / $rCoifman, R. R. / Meyer, Yves -- $tMULTIPARAMETER FOURIER ANALYSIS / $rFefferman, Robert -- $tELLIPTIC BOUNDARY VALUE PROBLEMS ON LIPSCHITZ DOMAINS / $rKenig, Carlos E. -- $tINTEGRAL FORMULAS IN COMPLEX ANALYSIS / $rKrantz, Steven G. -- $tVECTOR FIELDS AND NONISOTROPIC METRICS / $rNagel, Alexander -- $tOSCILLATORY INTEGRALS IN FOURIER ANALYSIS / $rStein, E. M. -- $tAVERAGES AND SINGULAR INTEGRALS OVER LOWER DIMENSIONAL SETS / $rWainge, Stephen -- $tINDEX -- $tBackmatter 330 $aBased on seven lecture series given by leading experts at a summer school at Peking University, in Beijing, in 1984. this book surveys recent developments in the areas of harmonic analysis most closely related to the theory of singular integrals, real-variable methods, and applications to several complex variables and partial differential equations. The different lecture series are closely interrelated; each contains a substantial amount of background material, as well as new results not previously published. The contributors to the volume are R. R. Coifman and Yves Meyer, Robert Fcfferman,Carlos K. Kenig, Steven G. Krantz, Alexander Nagel, E. M. Stein, and Stephen Wainger. 410 0$aAnnals of mathematics studies ;$vno. 112. 606 $aHarmonic analysis 610 $aAnalytic function. 610 $aAsymptotic formula. 610 $aBergman metric. 610 $aBernhard Riemann. 610 $aBessel function. 610 $aBiholomorphism. 610 $aBoundary value problem. 610 $aBounded mean oscillation. 610 $aBounded operator. 610 $aBoundedness. 610 $aCauchy's integral formula. 610 $aCharacteristic function (probability theory). 610 $aCharacterization (mathematics). 610 $aCoefficient. 610 $aCommutator. 610 $aComplexification (Lie group). 610 $aContinuous function. 610 $aConvolution. 610 $aDegeneracy (mathematics). 610 $aDifferential equation. 610 $aDifferential operator. 610 $aDirac delta function. 610 $aDirichlet problem. 610 $aEquation. 610 $aEstimation. 610 $aExistence theorem. 610 $aExistential quantification. 610 $aExplicit formula. 610 $aExplicit formulae (L-function). 610 $aFatou's theorem. 610 $aFourier analysis. 610 $aFourier integral operator. 610 $aFourier transform. 610 $aFredholm theory. 610 $aFubini's theorem. 610 $aFunction (mathematics). 610 $aFunctional calculus. 610 $aFundamental solution. 610 $aGaussian curvature. 610 $aHardy space. 610 $aHarmonic analysis. 610 $aHarmonic function. 610 $aHarmonic measure. 610 $aHeisenberg group. 610 $aHilbert space. 610 $aHilbert transform. 610 $aHodge theory. 610 $aHolomorphic function. 610 $aHyperbolic partial differential equation. 610 $aHölder's inequality. 610 $aInfimum and supremum. 610 $aIntegration by parts. 610 $aInterpolation theorem. 610 $aIntersection (set theory). 610 $aInvertible matrix. 610 $aIsometry group. 610 $aLaplace operator. 610 $aLaplace's equation. 610 $aLebesgue measure. 610 $aLinear map. 610 $aLipschitz continuity. 610 $aLipschitz domain. 610 $aLp space. 610 $aMathematical induction. 610 $aMathematical physics. 610 $aMaximal function. 610 $aMaximum principle. 610 $aMeasure (mathematics). 610 $aNewtonian potential. 610 $aNon-Euclidean geometry. 610 $aNumber theory. 610 $aOperator theory. 610 $aOscillatory integral. 610 $aParameter. 610 $aPartial derivative. 610 $aPartial differential equation. 610 $aPolynomial. 610 $aPower series. 610 $aProduct metric. 610 $aRadon?Nikodym theorem. 610 $aRiemannian manifold. 610 $aRiesz representation theorem. 610 $aScientific notation. 610 $aSeveral complex variables. 610 $aSign (mathematics). 610 $aSimultaneous equations. 610 $aSingular function. 610 $aSingular integral. 610 $aSobolev space. 610 $aSquare (algebra). 610 $aStatistical hypothesis testing. 610 $aStokes' theorem. 610 $aSupport (mathematics). 610 $aTangent space. 610 $aTensor product. 610 $aTheorem. 610 $aTrigonometric series. 610 $aUniformization theorem. 610 $aVariable (mathematics). 610 $aVector field. 615 0$aHarmonic analysis. 676 $a515/.2433 702 $aStein$b Elias M., 712 12$aSummer Symposium of Analysis in China$f(1984 :$eBeijing da xue), 801 0$bDE-B1597 801 1$bDE-B1597 906 $aBOOK 912 $a9910154749103321 996 $aBeijing Lectures in Harmonic Analysis. (AM-112), Volume 112$92786175 997 $aUNINA