LEADER 02612nam0 22003853i 450 001 SUN0093441 005 20151120101600.498 100 $a20130418d2000 |0engc50 ba 101 $aeng 102 $aIT 105 $a|||| ||||| 200 1 $aOn homogenization of a boundary value problem in a domain with thin channels of a small length$fOlga A. Oleinik, Tatiana A. Shaposhnikova 205 $aRoma : Aracne$b2000 210 $d21 cm 215 $aEstratto da: Quaderni di matematica, n. 7 (2000), p. 289-304. 606 $aHomogenization; equations in media with periodic structure [MSC 2010] 35B27$2MF$3SUNC022879 606 $aLaplacian operator, reduced wave equation (Helmholtz equation), Poisson equation [MSC 2010] 35J05$2MF$3SUNC025548 620 $dRoma$3SUNL000360 700 1$aOleinik$b, Olga A.$3SUNV075034$0722518 701 1$aShaposhnikova$b, Tatyana O.$3SUNV041552$0723622 712 $aAracne$3SUNV001104$4650 801 $aIT$bSOL$c20181109$gRICA 912 $aSUN0093441 950 $aUFFICIO DI BIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA$d08 CONS Estratto / 7 $e08 5842 950 $aUFFICIO DI BIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA$d08 CONS Estratto / 7 $e08 5843 950 $aUFFICIO DI BIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA$d08 CONS Estratto / 7 $e08 5844 950 $aUFFICIO DI BIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA$d08 CONS Estratto / 7 $e08 5845 950 $aUFFICIO DI BIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA$d08 CONS Estratto / 7 $e08 5846 995 $aUFFICIO DI BIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA$bIT-CE0120$h5842$kCONS Estratto / 7$oc$qa 995 $aUFFICIO DI BIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA$bIT-CE0120$h5843$kCONS Estratto / 7$oc$qa 995 $aUFFICIO DI BIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA$bIT-CE0120$h5844$kCONS Estratto / 7$oc$qa 995 $aUFFICIO DI BIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA$bIT-CE0120$h5845$kCONS Estratto / 7$oc$qa 995 $aUFFICIO DI BIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA$bIT-CE0120$h5846$kCONS Estratto / 7$oc$qa 996 $aOn homogenization of a boundary value problem in a domain with thin channels of a small length$91408975 997 $aUNICAMPANIA LEADER 00671nam 2200193z- 450 001 9910230851903321 005 20231009093441.0 035 $a(CKB)3810000000208648 035 $a(EXLCZ)993810000000208648 100 $a20170612c2015uuuu -u- - 101 0 $aeng 200 00$aObject-based selection of spatial frames of reference in a?-??ni? Arabic /$fLetizia Cerqueglini$b[electronic resource] 210 $cPisa University Press 311 0 $a9788867416394 700 $aCerqueglini$b Letizia$01023861 906 $aBOOK 912 $a9910230851903321 996 $aObject-based selection of spatial frames of reference in a?-??ni Arabic$92432855 997 $aUNINA LEADER 05819nam 2200529 450 001 996490343903316 005 20231110224438.0 010 $a3-031-07531-5 035 $a(CKB)5840000000091769 035 $a(MiAaPQ)EBC7102033 035 $a(Au-PeEL)EBL7102033 035 $a(PPN)264953711 035 $a(EXLCZ)995840000000091769 100 $a20230226d2022 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aRegular functions of a quaternionic variable /$fGraziano Gentili, Caterina Stoppato, Daniele C. Struppa 205 $a2nd ed. 210 1$aCham, Switzerland :$cSpringer,$d[2022] 210 4$d©2022 215 $a1 online resource (302 pages) 225 1 $aSpringer Monographs in Mathematics 311 $a3-031-07530-7 320 $aIncludes bibliographical references and index. 327 $aIntro -- Preface -- Preface to the Second Edition -- Introduction -- Contents -- 1 Definitions and Basic Results -- 1.1 Regular Functions -- 1.2 Affine Representation -- 1.3 Extension Results and Local Representation -- 1.4 Algebraic Structure -- Bibliographic Notes -- 2 Regular Power Series -- 2.1 The Distance ? -- 2.2 Convergence of Power Series Centered at p -- 2.3 Series Expansion at p and Analyticity -- Bibliographic Notes -- 3 Zeros -- 3.1 Basic Properties of the Zeros -- 3.2 Algebraic Properties of the Zeros -- 3.3 Topological Properties of the Zeros -- 3.4 On the Roots of Quaternions -- 3.5 Factorization of Polynomials -- 3.6 Multiplicity -- 3.7 Division Algorithm and Bezout Theorem -- 3.8 Gröbner Bases for Quaternionic Polynomials -- Bibliographic Notes -- 4 Infinite Products -- 4.1 Infinite Products of Quaternions -- 4.2 The Principal Branch of Quaternionic Logarithm -- 4.3 Infinite Products of Functions Defined on ps: [/EMC pdfmark [/Subtype /Span /ActualText (double struck upper H) /StPNE pdfmark [/StBMC pdfmarkHps: [/EMC pdfmark [/StPop pdfmark [/StBMC pdfmark -- 4.4 Convergence of an Infinite-Product -- 4.5 Convergence-Producing Regular Factors -- 4.6 Weierstrass Factorization Theorem -- Bibliographic Notes -- 5 Singularities -- 5.1 Regular Reciprocal and Quotients -- 5.2 Laurent Series and Expansion -- 5.3 Classification of Singularities -- 5.4 Poles and Quotients -- 5.5 Casorati-Weierstrass Theorem -- Bibliographic Notes -- 6 Integral Representations -- 6.1 Cauchy Theorem and Morera Theorem -- 6.2 Cauchy Integral Formula -- 6.3 Pompeiu Formula -- 6.4 Derivatives Using the Cauchy Formula -- 6.5 Coefficients of the Laurent Series Expansion -- 6.6 Argument Principle -- Bibliographic Notes -- 7 Maximum Modulus Theorem and Applications -- 7.1 Maximum and Minimum Modulus -- 7.2 Open Mapping Theorem -- 7.3 Real Parts of Regular Functions. 327 $a7.4 Phragmén-Lindelöf Principles -- 7.5 An Ehrenpreis-Malgrange Lemma -- Bibliographic Notes -- 8 Spherical Series and Differential -- 8.1 Spherical Series and Expansions -- 8.2 Integral Formulas and Cauchy Estimates -- 8.3 Symmetric Analyticity -- 8.4 Differentiating Regular Functions -- 8.5 Rank of the Differential -- Bibliographic Notes -- 9 Fractional Transformations and the Unit Ball -- 9.1 Transformations of the Quaternionic Space -- 9.2 Regular Fractional Transformations -- 9.3 Transformations of the Quaternionic Riemann Sphere -- 9.4 Schwarz Lemma and Transformations of the Unit Ball -- 9.5 Rigidity and a Boundary Schwarz Lemma -- 9.6 Borel-Carathéodory Theorem -- 9.7 Bohr Theorem -- Bibliographic Notes -- 10 Generalizations -- 10.1 Direct Generalizations to Algebras Other Than ps: [/EMC pdfmark [/Subtype /Span /ActualText (double struck upper H) /StPNE pdfmark [/StBMC pdfmarkHps: [/EMC pdfmark [/StPop pdfmark [/StBMC pdfmark -- 10.1.1 The Case of Octonions -- 10.1.2 The Case of ps: [/EMC pdfmark [/Subtype /Span /ActualText (double struck upper R 3) /StPNE pdfmark [/StBMC pdfmarkR3ps: [/EMC pdfmark [/StPop pdfmark [/StBMC pdfmark -- 10.1.3 The Slice Monogenic Case -- 10.2 Slice Functions Over ps: [/EMC pdfmark [/Subtype /Span /ActualText (double struck upper H) /StPNE pdfmark [/StBMC pdfmarkHps: [/EMC pdfmark [/StPop pdfmark [/StBMC pdfmark and Other Alternative Real Algebras -- 10.3 An Alternative Approach to Slice Regularity -- 11 Function Theory Over Non-symmetric Slice Domains -- 11.1 Spherical Value and Derivative -- 11.2 Locally Slice Functions and their Algebraic Structure -- 11.3 Zero Sets -- 11.4 Quotients -- 11.5 Factorization of Zeros -- 11.6 Applications of Factorization -- 11.7 Semiregular Functions -- 11.8 Minimum Modulus Principle and Open Mapping Theorem -- 11.9 Integral Representation -- 11.10 Spherical Series Expansions. 327 $aBibliographic Notes -- 12 Applications -- 12.1 Applications in Functional Analysis -- 12.1.1 Quaternionic Functional Calculus -- 12.1.2 Some Quaternionic Function Spaces -- 12.2 Applications in Differential Geometry -- 12.2.1 Orthogonal Complex Structures Induced by Regular Functions -- 12.2.2 A Direct Approach to Quaternionic Manifolds -- 12.3 Applications in Spatial Kinematics -- 12.3.1 Rational Rotation-Minimizing Frame Curves -- 12.3.2 Motion Polynomials over Dual Quaternions -- References -- Index. 410 0$aSpringer Monographs in Mathematics 606 $aFunctions, Quaternion 606 $aQuaternions$2thub 608 $aLlibres electrònics$2thub 615 0$aFunctions, Quaternion. 615 7$aQuaternions 676 $a515.98 700 $aGentili$b Graziano$053784 702 $aStoppato$b Caterina 702 $aStruppa$b Daniele Carlo$f1955- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996490343903316 996 $aRegular Functions of a Quaternionic Variable$92502695 997 $aUNISA