Mathematical Structures and Applications

Chapter 1 Metric Operators, Generalized Hermiticity, and Partial Inner Product Spaces

Chapter 2 Beyond Frames: Semi-frames and Reproducing Pairs

Chapter 3 On Hilbert-Schmidt Operator Formulation of Noncommutative Quantum Mechanics

Chapter 4 Symplectic Affine Action and Momentum with Cocycle

Chapter 5 Some Difference Integral Inequalities

Chapter 6 Theoretical and Numerical Comparisons of the Parameter Estimator of the Fractional Brownian Motion

Chapter 7 Minimal Lethal Disturbance for Finite Dimensional Linear Systems

Chapter 8 Walker Osserman Metric of Signature (3, 3)

Chapter 9 Conformal Symmetry Transformations and Nonlinear Maxwell Equations

Chapter 10 The Yukawa Model in One Space - One Time Dimensions

Chapter 11 Towards the Quantum Geometry of Saturated Quantum Uncertainty Relations: The Case of the ( Q , P ) Heisenberg Observables

Chapter 12 The Role of the Jacobi Last Multiplier in Nonholonomic Systems and Locally Conformal Symplectic Structure

Chapter 13 Non-perturbative Renormalization Group of a U (1) Tensor Model

Chapter 14 Ternary Z 2 and Z 3 Graded Algebras and Generalized Color Dynamics

Chapter 15 Pseudo-Solution of Weight Equations in Neural Networks: Application for Statistical Parameters Estimation

Chapter 16 A Note on Curvatures and Rank 2 Seiberg–Witten Invariants

Chapter 18 On the Fourier Analysis for L 2 Operator-Valued Functions

Chapter 19 Electrostatic Double Layers in a Magnetized Isothermal Plasma with two Maxwellian Electrons

Chapter 20 Star Products, Star Exponentials, and Star Functions