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Intro; Preface; Acknowledgements; Contents; Removable Singular Sets of m-Subharmonic Functions; 1 Introduction; 2 Preliminary Results on Removable Singularities; 3 (n-s,q)-Capacity; 4 Main Results; 5 Appendix; References; Extensions of Bernstein's Lethargy Theorem; 1 Introduction; 2 Extensions of BLT to Banach Spaces; 3 Extension of BLT to Fréchet Spaces; 4 Bernstein Pairs; References; Local Automorphisms on Finite-Dimensional Lie and Leibniz Algebras; 1 Introduction; 2 Local Automorphisms on mathfraksln; 3 Local Automorphisms of Algebras mathfraksln mathcalI
4 Local Automorphisms of Filiform Lie AlgebrasReferences; Integration of the Toda-Type Chain with a Special Self-consistent Source; 1 Introduction; 2 The Formulation of Problem; 3 Basic Facts About the Scattering Problem; 4 Evolution of the Scattering Data; References; Ground States for Potts Model with a Countable Set of Spin Values on a Cayley Tree; 1 Introduction; 2 Main Definitions and Known Facts; 3 Configuration Space and the Model; 4 Ground States; References; Isomorphic Classification of ast-Algebras of Log-Integrable Measurable Functions; 1 Introduction; 2 Preliminaries
Carleman Formula for Matrix Ball of the Third Type1 Introduction and Preliminaries; 2 Main Results; References; A Multidimensional Boundary Analogue of Hartogs's Theorem on n-Circular Domains for Integrable Functions; 1 Introduction; 2 The Szego Kernel on n-Circular Domains; 3 The Poisson Kernel on n-Circular Domains; 4 The Modified Poisson Kernel; 5 Main Results; References; On the Number of Real Zeros of Entire Functions of Finite Order of Grows; References; On Extensions of Some Classes of Algebras; 1 Extensions of Lie Algebras; 2 Extensions of Some Classes of Algebras with One Operation
3 Cocycles4 Dialgebras; 5 Extensions and Cocycles; 5.1 Extensions of Dialgebras; 5.2 Cocycles on Dialgebras; 5.3 Annihilator Extensions and Cocycles; 6 Action of Automorphisms; 7 Application; References; Holliday Junctions for the Potts Model of DNA; 1 Introduction and Definitions; 2 System of Functional Equations of Finite Dimensional Distributions; 3 Translation Invariant Gibbs Measures of the Set of DNAs; 4 Markov Chains of TIGMs and Holliday Junction of DNA; References; Further Developments of the Pluripotential Theory (Survey); 1 Introduction; 2 (B)m-Subharmonic Functions
4 Local Automorphisms of Filiform Lie AlgebrasReferences; Integration of the Toda-Type Chain with a Special Self-consistent Source; 1 Introduction; 2 The Formulation of Problem; 3 Basic Facts About the Scattering Problem; 4 Evolution of the Scattering Data; References; Ground States for Potts Model with a Countable Set of Spin Values on a Cayley Tree; 1 Introduction; 2 Main Definitions and Known Facts; 3 Configuration Space and the Model; 4 Ground States; References; Isomorphic Classification of ast-Algebras of Log-Integrable Measurable Functions; 1 Introduction; 2 Preliminaries
Carleman Formula for Matrix Ball of the Third Type1 Introduction and Preliminaries; 2 Main Results; References; A Multidimensional Boundary Analogue of Hartogs's Theorem on n-Circular Domains for Integrable Functions; 1 Introduction; 2 The Szego Kernel on n-Circular Domains; 3 The Poisson Kernel on n-Circular Domains; 4 The Modified Poisson Kernel; 5 Main Results; References; On the Number of Real Zeros of Entire Functions of Finite Order of Grows; References; On Extensions of Some Classes of Algebras; 1 Extensions of Lie Algebras; 2 Extensions of Some Classes of Algebras with One Operation
3 Cocycles4 Dialgebras; 5 Extensions and Cocycles; 5.1 Extensions of Dialgebras; 5.2 Cocycles on Dialgebras; 5.3 Annihilator Extensions and Cocycles; 6 Action of Automorphisms; 7 Application; References; Holliday Junctions for the Potts Model of DNA; 1 Introduction and Definitions; 2 System of Functional Equations of Finite Dimensional Distributions; 3 Translation Invariant Gibbs Measures of the Set of DNAs; 4 Markov Chains of TIGMs and Holliday Junction of DNA; References; Further Developments of the Pluripotential Theory (Survey); 1 Introduction; 2 (B)m-Subharmonic Functions