001471753 000__ 04324cam\\2200673\i\4500
001471753 001__ 1471753
001471753 003__ OCoLC
001471753 005__ 20230908003313.0
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001471753 008__ 230714s2023\\\\sz\\\\\\ob\\\\001\0\eng\d
001471753 019__ $$a1390119448
001471753 020__ $$a9783031291791$$q(electronic bk.)
001471753 020__ $$a3031291794$$q(electronic bk.)
001471753 020__ $$z3031291786
001471753 020__ $$z9783031291784
001471753 0247_ $$a10.1007/978-3-031-29179-1$$2doi
001471753 035__ $$aSP(OCoLC)1390448114
001471753 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dEBLCP$$dYDX$$dN$T
001471753 049__ $$aISEA
001471753 050_4 $$aQA312
001471753 08204 $$a515/.42$$223/eng/20230714
001471753 1001_ $$aMitrea, Dorina,$$d1965-$$eauthor.
001471753 24510 $$aGeometric harmonic analysis.$$nIV,$$pBoundary layer potentials in uniformly rectifiable domains, and applications to complex analysis /$$cDorina Mitrea, Irina Mitrea, Marius Mitrea.
001471753 24630 $$aBoundary layer potentials in uniformly rectifiable domains, and applications to complex analysis
001471753 264_1 $$aCham :$$bSpringer,$$c[2023]
001471753 264_4 $$c©2023
001471753 300__ $$a1 online resource (xix, 992 pages).
001471753 336__ $$atext$$btxt$$2rdacontent
001471753 337__ $$acomputer$$bc$$2rdamedia
001471753 338__ $$aonline resource$$bcr$$2rdacarrier
001471753 4901_ $$aDevelopments in mathematics ;$$vvolume 75
001471753 504__ $$aIncludes bibliographical references and indexes.
001471753 5050_ $$aIntroduction and Statement of Main Results Concerning the Divergence Theorem -- Examples, Counterexamples, and Additional Perspectives -- Tools from Geometric Measure Theory, Harmonic Analysis, and functional Analysis -- Open Sets with Locally Finite Surface Measures and Boundary Behavior -- Proofs of the Main Results Pertaining to the Divergence Theorem -- Applications to Singular Integrals, Function Spaces, Boundary Problems, and Further Results.
001471753 506__ $$aAccess limited to authorized users.
001471753 520__ $$aThis monograph presents a comprehensive, self-contained, and novel approach to the Divergence Theorem through five progressive volumes. Its ultimate aim is to develop tools in Real and Harmonic Analysis, of geometric measure theoretic flavor, capable of treating a broad spectrum of boundary value problems formulated in rather general geometric and analytic settings. The text is intended for researchers, graduate students, and industry professionals interested in applications of harmonic analysis and geometric measure theory to complex analysis, scattering, and partial differential equations. Traditionally, the label Caldern-Zygmund theory has been applied to a distinguished body of works primarily pertaining to the mapping properties of singular integral operators on Lebesgue spaces, in various geometric settings. Volume IV amounts to a versatile Caldern-Zygmund theory for singular integral operators of layer potential type in open sets with uniformly rectifiable boundaries, considered on a diverse range of function spaces. Novel applications to complex analysis in several variables are also explored here.
001471753 588__ $$aDescription based on print version record.
001471753 650_0 $$aGeometric measure theory.
001471753 650_0 $$aDivergence theorem.
001471753 650_0 $$aBoundary layer.
001471753 655_0 $$aElectronic books.
001471753 7001_ $$aMitrea, Irina,$$eauthor.
001471753 7001_ $$aMitrea, Marius,$$eauthor.
001471753 77608 $$iPrint version:$$aMITREA, DORINA. MITREA, IRINA. MITREA, MARIUS.$$tGEOMETRIC HARMONIC ANALYSIS IV.$$d[Place of publication not identified] : SPRINGER INTERNATIONAL PU, 2023$$z3031291786$$w(OCoLC)1371014699
001471753 830_0 $$aDevelopments in mathematics ;$$vv. 75.
001471753 852__ $$bebk
001471753 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-29179-1$$zOnline Access$$91397441.1
001471753 909CO $$ooai:library.usi.edu:1471753$$pGLOBAL_SET
001471753 980__ $$aBIB
001471753 980__ $$aEBOOK
001471753 982__ $$aEbook
001471753 983__ $$aOnline
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