LEADER 07972nam 2200589 450 001 996466561303316 005 20230510093636.0 010 $a3-030-75425-1 035 $a(MiAaPQ)EBC6803486 035 $a(Au-PeEL)EBL6803486 035 $a(CKB)19410490600041 035 $a(OCoLC)1286430115 035 $a(PPN)258838973 035 $a(EXLCZ)9919410490600041 100 $a20220815d2021 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aFrom operator theory to orthogonal polynomials, combinatorics, and number theory $ea volume in honor of Lance Littlejohn's 70th birthday /$fFritz Gesztesy, Andrei Martinez-Finkelshtein, editors 210 1$aCham, Switzerland :$cBirkha?user,$d[2021] 210 4$d©2021 215 $a1 online resource (388 pages) 225 1 $aOperator theory, advances and applications ;$vVolume 285 311 08$aPrint version: Gesztesy, Fritz From Operator Theory to Orthogonal Polynomials, Combinatorics, and Number Theory Cham : Springer International Publishing AG,c2022 9783030754242 320 $aIncludes bibliographical references. 327 $aIntro -- Preface -- References -- Contents -- Compositions and Chebyshev Polynomials -- 1 Introduction -- 2 Proof of Theorem 1 -- 3 Proof of Theorem 2 -- 4 Proof of Theorem 3 -- 5 Proofs of Theorems 4 and Corollary 1 -- 6 Proof of Theorem 6 and Corollaries -- 7 Further Topics -- References -- Non-negative Extensions of Hamiltonian Systems -- 1 Introduction -- 2 Preliminaries -- 3 The Friedrichs Extension TF of T0 -- 4 Characterisation of Non-negative Extensions TB -- 5 Example: A Fourth Order ODE -- References -- On Simon's Hausdorff Dimension Conjecture -- 1 Introduction -- 2 A Weak Version of Simon's Hausdorff Dimension Conjecture -- 2.1 A Basic Estimate -- 2.2 Prüfer Variables -- 2.3 Unboundedness and Infinite Energy -- 2.4 Proof of Theorem 1.1 and Corollary 1.2 -- References -- Hypergeometric Functions over Finite Fields and Modular Forms: A Survey and New Conjectures -- 1 Introduction -- 2 Preliminaries -- 3 Weight Two Newforms -- 4 Higher Weight Newforms -- 4.1 The Conjectures of Rodriguez Villegas -- 4.2 Conjectures of Evans -- 4.3 Relations with Ramanujan's ?-Function -- 4.4 Other Relations -- 5 Trace Formulas for Hecke Operators -- 6 New Relations -- References -- Ballistic Transport for Periodic Jacobi Operators on Zd -- 1 Introduction -- 2 Decomposition of J -- 3 Ballistic Motion -- References -- Perspectives on General Left-Definite Theory -- 1 Introduction -- 1.1 Notation -- 2 Sturm-Liouville Operators -- 3 Left-Definite Theory -- 4 Comparison with BKV Semi-Bounded Form Theory -- 5 Scale of Spaces from Singular Perturbation Theory -- 6 Perturbation Setup -- Appendix: Extension Theory -- References -- Sampling in the Range of the Analysis Operator of a Continuous Frame Having Unitary Structure -- 1 Statement of the Problem -- 2 Some Preliminaries -- 2.1 Continuous and Discrete Frames. 327 $a2.2 Discrete Convolution Systems and Frames of Translates -- 3 The Subspace of L2(G) Where the Sampling Is Carried Out -- 3.1 Sampling Data as a Filtering Process -- 4 The Main Sampling Result and Consequences -- 4.1 Sampling at a Subgroup R with Finite Index in H -- 4.2 Additional Notes and Remarks -- 4.3 The Case of a Semi-Direct Product of Groups -- Euclidean Motion Group and Crystallographic Subgroups -- 4.4 Some Final Comments -- References -- An Extension of the Coherent Pair of Measures of the Second Kind on the Unit Circle -- 1 Introduction -- 2 Coherent Pairs of Measures of the Second Kind -- 2.1 The Case d?1(z) = 12?i zdz -- 2.2 The Case d?1(z)=1|z-u|212?i zdz, u?0 -- 2.3 A General Case -- 3 Hessenberg Matrices -- 4 Sobolev OPUC -- References -- Bessel-Type Operators and a Refinement of Hardy's Inequality -- 1 Introduction -- 2 An Exactly Solvable, Strongly Singular, Periodic Schrödinger Operator -- 3 A Refinement of Hardy's Inequality -- A.1 The Weyl-Titchmarsh-Kodaira m-Function Associated with Ts,F -- B.1 Remarks on Hardy-Type Inequalities -- References -- Spectral Theory of Exceptional Hermite Polynomials -- 1 Introduction -- 2 Some Spectral Theory -- 3 The Formal Theory of Exceptional Hermite Polynomials -- 3.1 Multi-Step Factorization Chains -- 3.2 The Norm Identity -- 4 The L2 Theory -- References -- Occupation Time for Classical and Quantum Walks -- 1 Introduction -- 2 A Look at the Classical Discrete Case -- 3 Occupation Times for Quantum Walks -- 4 A Look at the Hadamard Walk -- 5 The Walk with a Constant Coin -- 6 The Even Verblunsky Coefficients Tend to One -- 7 A Look at the Riesz Walk -- References -- On Foci of Ellipses Inscribed in Cyclic Polygons -- 1 Introduction -- 2 Background and Notation -- 3 The Quadrilateral Case -- 4 The Hexagon Case -- 5 The Pentagon Case -- References -- A Differential Analogue of Favard's Theorem. 327 $a1 Introduction -- 2 The Main Theory -- 2.1 Fundamental Results -- 2.2 Relation to Existing Work -- 3 Examples -- 3.1 Jacobi -- 3.2 Hermite -- 3.3 Generalized Hermite -- 3.4 Laguerre -- 3.5 Generalized Laguerre -- 3.6 Continuous Hahn -- 4 Computational Considerations -- 4.1 Computation of Expansion Coefficients -- 4.2 Approximation Theory on the Real Line -- 5 Periodic Bases Arising from Discrete Orthogonal Polynomials -- 6 Challenges and Outlook -- 6.1 Transform Pairs -- 6.2 Location of Zeros -- 6.3 Sobolev Orthogonality -- 6.4 Beyond the Canonical Form -- 6.5 A Freudian Slip-Why We Need More Polynomials -- References -- Intrinsic Properties of Strongly Continuous Fractional Semigroups in Normed Vector Spaces -- 1 Introduction -- 2 Background -- 2.1 Logarithmic Norms on Banach Spaces -- 2.2 Logarithmic Norm Bounds of Classical Semigroups -- 3 Fractional Semigroups -- 3.1 Mittag-Leffler and Wright Functions -- 3.2 Logarithmic Norm Bounds of Fractional Semigroups -- 4 Conclusions and Future Endeavors -- References -- The BFK-gluing Formula for Zeta-determinants and the Conformal Rescaling of a Metric -- 1 Introduction -- 2 The Metric Rescaling and Invariance Theory -- 3 Proof of Theorem 1 -- 4 Conclusions -- References -- New Representations of the Laguerre-Sobolev and Jacobi-Sobolev Orthogonal Polynomials -- 1 Introduction -- 2 Two Representations of the Laguerre-Sobolev Polynomials -- 3 New Representations of the Jacobi-Sobolev Polynomials -- References -- Compactness, or Lack Thereof, for the Harmonic Double Layer -- 1 Compactness of the Harmonic Double Layer Operator on Lebesgue Spaces -- 2 Failure of Compactness for the Harmonic Double Layer Operator -- References -- Weighted Chebyshev Polynomials on Compact Subsets of the Complex Plane -- 1 Introduction -- 2 Existence, Uniqueness, and Characterization of Weighted Chebyshev Polynomials. 327 $a3 Bounds for Weighted Chebyshev Polynomials -- References -- The Eichler Integral of E2 and q-brackets of t-hook Functions -- 1 Introduction and Statement of Results -- 2 Nuts and Bolts -- 2.1 A Formula of Han -- 2.2 A Formula of Berndt -- 3 Proofs of Results -- 4 Some Examples -- References. 410 0$aOperator theory, advances and applications ;$vVolume 285. 606 $aOperator theory 606 $aSpectral theory (Mathematics) 606 $aTeoria espectral (Matemàtica)$2thub 606 $aTeoria d'operadors$2thub 608 $aHomenatges$2thub 608 $aLlibres electrònics$2thub 615 0$aOperator theory. 615 0$aSpectral theory (Mathematics) 615 7$aTeoria espectral (Matemàtica) 615 7$aTeoria d'operadors 676 $a515.724 702 $aGesztesy$b Fritz$f1953- 702 $aMarti?nez Finkelshtein$b Andrei 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466561303316 996 $aFrom operator theory to orthogonal polynomials, combinatorics, and number theory$92904759 997 $aUNISA LEADER 03127oam 2200649I 450 001 9910786337703321 005 20230422031457.0 010 $a1-136-05606-8 010 $a1-283-84625-X 010 $a1-136-05598-3 010 $a0-203-61369-4 024 7 $a10.4324/9780203613696 035 $a(CKB)2670000000277337 035 $a(EBL)1074996 035 $a(OCoLC)821174081 035 $a(SSID)ssj0000810505 035 $a(PQKBManifestationID)11431997 035 $a(PQKBTitleCode)TC0000810505 035 $a(PQKBWorkID)10833607 035 $a(PQKB)10900547 035 $a(MiAaPQ)EBC1074996 035 $a(Au-PeEL)EBL1074996 035 $a(CaPaEBR)ebr10629067 035 $a(CaONFJC)MIL415875 035 $a(OCoLC)823726772 035 $a(FINmELB)ELB136546 035 $a(EXLCZ)992670000000277337 100 $a20180331e20001999 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 14$aThe bewitching of Anne Gunter $ea horrible and true story of deception, witchcraft, murder, and the King of England /$fJames Sharpe 205 $aFirst Routledge hardback edition. 210 1$aNew York :$cRoutledge,$d2000. 215 $a1 online resource (257 p.) 300 $aFirst published in Great Britain in 1999 by Profile Books. 311 $a0-415-92692-0 311 $a0-415-92691-2 320 $aIncludes bibliographical references (p. [213]-230) and index. 327 $aThe BEWITCHING of ANNE GUNTER A horrible and true story of deception, witchcraft, murder, and the King of England; Copyright; Contents; Preface; Acknowledgements; Chapter 1 Anne's Story; Chapter 2 Some Unexpected Consequences of a Football Match; Chapter 3 Many Strange Tortures; Chapter 4 Witchcraft; Chapter 5 The Oxford Connection; Chapter 6 The Witch-trial at A bingdon; Chapter 7 Demonic Possession and the Politics of Exorcism; Chapter 8 Anne Meets the King; Chapter 9 Loose Ends, Tied and Untied; Notes and References; Index 330 $aIn 1604, 20-year-old Anne Gunter was bewitched: she foamed at the mouth, contorted wildly in her bedchamber, went into trances. Her garters and bodices were perpetually unlacing themselves. Her signature symptom was to vomit pins and ""she voided some pins downwards as well by her water or otherwise.."" Popular history at its best, ""The Bewitching of Anne Gunter"" opens a fascinating window onto the past. It's a tale of controlling fathers, willful daughters, nosy neighbors, power relations between peasants and gentry, and village life in early-modern Europe. Above all it's an original and 606 $aWitchcraft$zEngland$xHistory 606 $aTrials (Witchcraft)$zEngland$xHistory 607 $aGreat Britain$xHistory$yJames I, 1603-1625 615 0$aWitchcraft$xHistory. 615 0$aTrials (Witchcraft)$xHistory. 676 $a133.4/3/094209032 700 $aSharpe$b J. A.$0152412 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910786337703321 996 $aThe bewitching of Anne Gunter$93761493 997 $aUNINA