03567nam 2200733 450 991048085680332120180613001239.00-8218-7988-X0-8218-5730-4(CKB)3240000000069924(EBL)3113189(SSID)ssj0000850404(PQKBManifestationID)11447945(PQKBTitleCode)TC0000850404(PQKBWorkID)10833019(PQKB)10051374(MiAaPQ)EBC3113189(WaSeSS)Ind00039617(PPN)197107257(EXLCZ)99324000000006992420051207h20062006 uy| 0engur|n|---|||||txtccrThe ubiquitous heat kernel AMS Special Session, The Ubiquitous Heat Kernel, October 2-4, 2003, Boulder, Colorado /Jay Jorgenson, Lynne Walling, editorsProvidence, Rhode Island :American Mathematical Society,[2006]©20061 online resource (410 p.)Contemporary mathematics,0271-4132 ;398Description based upon print version of record.0-8218-3698-6 Includes bibliographical references.""Contents""; ""Preface""; ""Positivity of zeta distributions and small unitary representations""; ""The heat equation and representations of the Jacobi group""; ""Kato's inequality and asymptotic spectral properties for discrete magnetic Laplacians""; ""The heat kernel in low-dimensional quantum theories""; ""Heat kernels on weighted manifolds and applications""; ""1. Introduction""; ""2. The Laplace operator""; ""2.1 Differential operators on manifolds""; ""2.2 Laplacian as an operator in L2""; ""2.3 Some examples""; ""2.4 Laplacian on model manifolds""; ""3. The heat kernel""""3.1 Heat semigroup""""3.2 Heat kernel and fundamental solutions""; ""3.3 Stochastic completeness""; ""4. Relations between different heat kernels""; ""4.1 Direct products""; ""4.2 Isometries""; ""4.3 Comparison of heat kernels""; ""4.4 Change of measure""; ""4.5 Some examples of heat kernels in R""; ""4.6 Hyperbolic spaces""; ""5. Heat kernel estimates""; ""5.1 Uniform Faber-Krahn inequality""; ""5.2 Gaussian upper bounds""; ""5.3 On-diagonal lower bounds""; ""5.4 Relative Faber-Krahn inequality""; ""5.5 On-diagonal estimates on model manifolds""""The heat kernel on the symmetric space SL(n, F)/SU(n, F)""Contemporary mathematics (American Mathematical Society) ;v. 398.Heat equationCongressesLie groupsCongressesJacobi formsCongressesGeometry, AlgebraicCongressesOperator theoryCongressesGlobal differential geometryCongressesSpectral theory (Mathematics)CongressesElectronic books.Heat equationLie groupsJacobi formsGeometry, AlgebraicOperator theoryGlobal differential geometrySpectral theory (Mathematics)515/.353Jorgenson JayWalling Lynne1958-AMS Special Session : The Ubiquitous Heat Kernel(2003 :Boulder, Colorado),MiAaPQMiAaPQMiAaPQBOOK9910480856803321The ubiquitous heat kernel2035990UNINA05645nam 2200781Ia 450 991102005960332120200520144314.09786611284978978128128497612812849719780470276266047027626697804702762590470276258(CKB)1000000000400795(EBL)335762(OCoLC)214281848(SSID)ssj0000206423(PQKBManifestationID)11206821(PQKBTitleCode)TC0000206423(PQKBWorkID)10215079(PQKB)10169988(MiAaPQ)EBC335762(Perlego)2772260(EXLCZ)99100000000040079520071004d2008 uy 0engur|n|---|||||txtccrMultidimensional liquid chromatography theory and applications in industrial chemistry and the life sciences /edited by Steven A. Cohen, Mark R. SchureHoboken, N.J. Wiley-Intersciencec20081 online resource (490 p.)Description based upon print version of record.9780471738473 0471738476 Includes bibliographical references and index.MULTIDIMENSIONAL LIQUID CHROMATOGRAPHY; CONTENTS; Foreword; Preface; Contributors; 1 Introduction; 1.1 Previous Literature Which Covers MDLC; 1.2 How this Book is Organized; References; PART I THEORY; 2 Elements of the Theory of Multidimensional Liquid Chromatography; 2.1 Introduction; 2.2 Peak Capacity; 2.3 Resolution; 2.4 Orthogonality; 2.5 Two-Dimensional Theory of Peak Overlap; 2.6 Dimensionality, Peak Ordering, and Clustering; 2.7 Theory of Zone Sampling; 2.8 Dilution and Limit of Detection; 2.9 Chemometric Analysis; 2.10 Future Directions; References3 Peak Capacity in Two-Dimensional Liquid Chromatography3.1 Introduction; 3.2 Theory; 3.3 Procedures; 3.4 Results and Discussion; 3.5 Conclusions; Appendix 3A Generation of Random Correlated Coordinates; Appendix 3B Derivation of Limiting Correlation Coefficient r; References; 4 Decoding Complex 2D Separations; 4.1 Introduction; 4.2 Fundamentals: The Statistical Description of Complex Multicomponent Separations; 4.3 Decoding 1D and 2D Multicomponent Separations by Using the SMO Poisson Statistics; 4.4 Decoding Multicomponent Separations by the Autocovariance Function4.5 Application to 2D Separations4.5.1 Results from SMO Method; 4.5.2 Results from 2D Autocovariance Function Method; 4.6 Concluding Remarks; Acknowledgments; References; PART II COLUMNS, INSTRUMENTATION AND METHODS DEVELOPMENT; 5 Instrumentation for Comprehensive Multidimensional Liquid Chromatography; 5.1 Introduction; 5.2 Heart-Cutting Versus Comprehensive Mode; 5.3 Chromatographic Hardware; 5.3.1 Valves; 5.4 CE Interfaces; 5.4.1 Gated Interface for HPLC-CE; 5.4.2 Microfluidic Valves for On-Chip Multidimensional Analysis; 5.5 Columns and Combinations5.5.1 Column Systems, Dilution, and Splitting5.6 Detection; 5.7 Computer Hardware and Software; 5.7.1 Software Development; 5.7.2 Valve Sequencing; 5.7.3 Data Format and Storage; 5.8 Zone Visualization; 5.8.1 Contour Visualization; 5.8.2 2D Peak Presentation; 5.8.3 Zone Visualization in Specific Chemical (pI) Regions; 5.8.4 External Plotting Programs; 5.8.5 Difference Plots; 5.8.6 Multi-channel Data; 5.9 Data Analysis and Signal Processing; 5.10 Future Prospects; References; 6 Method Development in Comprehensive Multidimensional Liquid Chromatography; 6.1 Introduction; 6.2 Previous Work6.3 Column Variables6.4 Method Development; 6.4.1 The Cardinal Rules of 2DLC Method Development; 6.5 Planning the Experiment; 6.6 General Comments on Optimizing the 2DLC Experiment: Speed-Resolution Trade-off; Acknowledgment; References; 7 Monolithic Columns and Their 2D-HPLC Applications; 7.1 Introduction; 7.2 Monolithic Polymer Columns; 7.2.1 Structural Properties of Polymer Monoliths; 7.2.2 Chromatographic Properties of Polymer Monolithic Columns; 7.2.3 Two-Dimensional HPLC Using Polymer Monoliths; 7.3 Monolithic Silica Columns; 7.3.1 Preparation7.3.2 Structural Properties of Monolithic Silica ColumnsMultidimensional Liquid Chromatography (MDLC) is a very powerful separation technique for analyzing exceptionally complex samples in one step. This authoritative reference presents a number of recent contributions that help define the current art and science of MDLC. Topics covered include instrumentation, theory, methods development, and applications of MDLC in the life sciences and in industrial chemistry. With the information to help you perform very difficult separations of complex samples, this reference includes chapters contributed by leading experts or teams of experts.BiochemistryChemical engineeringChemistry, TechnicalLiquid chromatographyBiochemistry.Chemical engineering.Chemistry, Technical.Liquid chromatography.543.84543/.8435.71bcl35.29bcl58.14bclVG 7500rvkCohen Steven A.1953-1838746Schure Mark R1838747MiAaPQMiAaPQMiAaPQBOOK9911020059603321Multidimensional liquid chromatography4417800UNINA00874nam 2200265 450 99668807520331620251124101410.020251121d1976----km y0itay5003 baitaITy 00 yGirata in nome altrui, continuità della serie, acquisto a non dominionuove riflessioniFederico MartoranoPadovaCEDAM1976[335]-445 p.24 cmEstratto da: Studi in memoria di Roberto Bracco, Padova : CEDAM, 1976Titoli di creditoBNCF332.77MARTORANO,Federico227984ITcbaREICAT996688075203316XVI.7.Misc. 558562 FBUOXVI.7.Misc.BKFBUOGirata in nome altrui, continuità della serie, acquisto a non dominio4457565UNISA