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100   $a20190708d2016      fg              
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt
182   $cc
183   $acr
200 10$aTopics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63), Volume 63 /$fElias M. Stein
210  1$aPrinceton, NJ : $cPrinceton University Press, $d[2016]
210  4$dİ1970
215   $a1 online resource (160 pages)
225 0 $aAnnals of Mathematics Studies ;$v251
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a0-691-08067-4 
320   $aIncludes bibliographical references.
327   $tFrontmatter -- $tPreface -- $tContents -- $tIntroduction -- $tChapter I: Lie Groups (A Review) -- $tChapter II: Littlewood-Paley Theory for a Compact Lie Group -- $tChapter III: General Symmetric Diffusion Semi-Groups -- $tChapter IV: The General Littlewood-Paley Theory -- $tChapter V: Further Illustrations -- $tReferences -- $tAppendix (1985)
330   $aThis work deals with an extension of the classical Littlewood-Paley theory in the context of symmetric diffusion semigroups. In this general setting there are applications to a variety of problems, such as those arising in the study of the expansions coming from second order elliptic operators. A review of background material in Lie groups and martingale theory is included to make the monograph more accessible to the student.
410  0$aAnnals of mathematics studies ;$vNumber 63.
606   $aHarmonic analysis
606   $aLittlewood-Paley theory
606   $aLie groups
606   $aSemigroups
610   $aAddition.
610   $aAnalytic function.
610   $aAxiom.
610   $aBoundary value problem.
610   $aCentral limit theorem.
610   $aChange of variables.
610   $aCircle group.
610   $aClassification theorem.
610   $aCommutative property.
610   $aCompact group.
610   $aComplex analysis.
610   $aConvex set.
610   $aCoset.
610   $aCovering space.
610   $aDerivative.
610   $aDifferentiable manifold.
610   $aDifferential geometry.
610   $aDifferential operator.
610   $aDimension (vector space).
610   $aDimension.
610   $aDirect sum.
610   $aE6 (mathematics).
610   $aE7 (mathematics).
610   $aE8 (mathematics).
610   $aElementary proof.
610   $aEquation.
610   $aEquivalence class.
610   $aExistence theorem.
610   $aExistential quantification.
610   $aFourier analysis.
610   $aFourier series.
610   $aFourier transform.
610   $aFunction space.
610   $aGeneral linear group.
610   $aHaar measure.
610   $aHarmonic analysis.
610   $aHarmonic function.
610   $aHermite polynomials.
610   $aHilbert transform.
610   $aHomogeneous space.
610   $aHomomorphism.
610   $aIdeal (ring theory).
610   $aIdentity matrix.
610   $aIndecomposability.
610   $aIntegral transform.
610   $aInvariant measure.
610   $aInvariant subspace.
610   $aIrreducibility (mathematics).
610   $aIrreducible representation.
610   $aLebesgue measure.
610   $aLegendre polynomials.
610   $aLie algebra.
610   $aLie group.
610   $aLinear combination.
610   $aLinear map.
610   $aLocal diffeomorphism.
610   $aMarkov process.
610   $aMartingale (probability theory).
610   $aMatrix group.
610   $aMeasurable function.
610   $aMeasure (mathematics).
610   $aMultiple integral.
610   $aNormal subgroup.
610   $aOne-dimensional space.
610   $aOpen set.
610   $aOrdinary differential equation.
610   $aOrthogonality.
610   $aOrthonormality.
610   $aParseval's theorem.
610   $aPartial differential equation.
610   $aProbability space.
610   $aQuadratic form.
610   $aRank of a group.
610   $aRegular representation.
610   $aRiemannian manifold.
610   $aRiesz transform.
610   $aSchur orthogonality relations.
610   $aScientific notation.
610   $aSemigroup.
610   $aSequence.
610   $aSpecial case.
610   $aStone?Weierstrass theorem.
610   $aSturm?Liouville theory.
610   $aSubgroup.
610   $aSubset.
610   $aSummation.
610   $aTensor algebra.
610   $aTensor product.
610   $aTheorem.
610   $aTheory.
610   $aTopological group.
610   $aTopological space.
610   $aTorus.
610   $aTrigonometric polynomial.
610   $aTrivial representation.
610   $aUniform convergence.
610   $aUnitary operator.
610   $aUnitary representation.
610   $aVector field.
610   $aVector space.
615  0$aHarmonic analysis.
615  0$aLittlewood-Paley theory.
615  0$aLie groups.
615  0$aSemigroups.
676   $a515.2433
700   $aStein$b Elias M., $041144
712 02$aPrinceton University.
801  0$bDE-B1597
801  1$bDE-B1597
906   $aBOOK
912   $a9910154742803321
996   $aTopics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63), Volume 63$92786624
997   $aUNINA