Mathematical Structures and Applications: In Honor of Mahouton Norbert Hounkonnou

Description

This contributed volume features invited papers on current research and applications in mathematical structures. Featuring various disciplines in the mathematical sciences and physics, articles in this volume discuss fundamental scientific and mathematical concepts as well as their applications to topical problems. Special emphasis is placed on important methods, research directions and applications of analysis within and beyond each field. Covered topics include Metric operators and generalized hermiticity, Semi-frames, Hilbert-Schmidt operator, Symplectic affine action, Fractional Brownian motion, Walker Osserman metric, Nonlinear Maxwell equations, The Yukawa model, Heisenberg observables, Nonholonomic systems, neural networks, Seiberg-Witten invariants, photon-added coherent state, electrostatic double layers, and star products and functions. All contributions are from the participants of the conference held October 2016 in Cotonou, Benin in honor of Professor Mahouton Norbert Hounkonnou for his outstanding contributions to the mathematical and physical sciences and education. Accessible to graduate students and postdoctoral researchers, this volume is a useful resource to applied scientists, applied and pure mathematicians, and mathematical and theoretical physicists. Front Matter ....Pages i-xvii Metric Operators, Generalized Hermiticity, and Partial Inner Product Spaces (Jean-Pierre Antoine, Camillo Trapani)....Pages 1-20 Beyond Frames: Semi-frames and Reproducing Pairs (Jean-Pierre Antoine, Camillo Trapani)....Pages 21-59 On Hilbert-Schmidt Operator Formulation of Noncommutative Quantum Mechanics (Isiaka Aremua, Ezinvi Baloïtcha, Mahouton Norbert Hounkonnou, Komi Sodoga)....Pages 61-118 Symplectic Affine Action and Momentum with Cocycle (Augustin Batubenge, Wallace Haziyu)....Pages 119-135 Some Difference Integral Inequalities (G. Bangerezako, J. P. Nuwacu)....Pages 137-152 Theoretical and Numerical Comparisons of the Parameter Estimator of the Fractional Brownian Motion (Jean-Marc Bardet)....Pages 153-173 Minimal Lethal Disturbance for Finite Dimensional Linear Systems (Abdes Samed Bernoussi, Mina Amharref, Mustapha Ouardouz)....Pages 175-198 Walker Osserman Metric of Signature (3, 3) (Abdoul Salam Diallo, Mouhamadou Hassirou, Ousmane Toudou Issa)....Pages 199-210 Conformal Symmetry Transformations and Nonlinear Maxwell Equations (Gerald A. Goldin, Vladimir M. Shtelen, Steven Duplij)....Pages 211-224 The Yukawa Model in One Space - One Time Dimensions (Laure Gouba)....Pages 225-233 Towards the Quantum Geometry of Saturated Quantum Uncertainty Relations: The Case of the (Q, P) Heisenberg Observables (Jan Govaerts)....Pages 235-273 The Role of the Jacobi Last Multiplier in Nonholonomic Systems and Locally Conformal Symplectic Structure (Partha Guha)....Pages 275-291 Non-perturbative Renormalization Group of a U(1) Tensor Model (Vincent Lahoche, Dine Ousmane Samary)....Pages 293-310 Ternary Z2 and Z3 Graded Algebras and Generalized Color Dynamics (Richard Kerner)....Pages 311-357 Pseudo-Solution of Weight Equations in Neural Networks: Application for Statistical Parameters Estimation (Vincent J. M. Kiki, Villévo Adanhounme, Mahouton Norbert Hounkonnou)....Pages 359-374 A Note on Curvatures and Rank 2 Seiberg–Witten Invariants (Fortuné Massamba)....Pages 375-391 Shape Invariant Potential Formalism for Photon-Added Coherent State Construction (Komi Sodoga, Isiaka Aremua, Mahouton Norbert Hounkonnou)....Pages 393-421 On the Fourier Analysis for L2 Operator-Valued Functions (Mawoussi Todjro, Yaogan Mensah)....Pages 423-431 Electrostatic Double Layers in a Magnetized Isothermal Plasma with two Maxwellian Electrons (Odutayo Raji Rufai)....Pages 433-438 Star Products, Star Exponentials, and Star Functions (Akira Yoshioka)....Pages 439-451 Back Matter ....Pages 453-462