Mathematical Structures and Applications

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.

Reinforces fundamental concepts in mathematical structures Covers a variety of recent research and topical applications in mathematical physics Accessible to all graduate students and postdoctoral researchers in mathematics and mathematical and theoretical physics

Auteur

Toka Diagana is a professor in the Department of Mathematics at Howard University, Washington, D.C.

Bourama Toni is full professor and chair of the Department of Mathematics at Howard University, Washington, D.C.

Contenu
Jean-Pierre Antoine and Camillo Trapani: Metric operators, generalized hermiticity and partial inner product spaces.- Jean-Pierre Antoine and Camillo Trapani: Beyond frames: semi-frames and reproducing pairs.- Isiaka Aremua, Ezinvi Baloitcha , Mahouton Norbert Hounkonnou and Komi Sodoga: On Hilbert-Schmidt operator formulation of noncommutative quantum mechanics.- Augustin Batubenge and Wallace Haziyu: Symplectic affine action and momentum with cocycle.- Gaspard Bangerezako and Jean-Paul Nuwacu: Some difference integral inequalities.- Jean-Marc Bardet: Theoretical and numerical comparisons of the parameter estimator of the fractional Brownian motion.- Abdes Samed Bernoussi, Mina Amharref and Mustapha Ouardouz: Minimal Lethal Disturbance for finite dimensional linear systems.- Abdoul Salam Diallo, Mouhamadou Hassirou and Ousmane Toudou Issa: Example of Walker Osserman metric of signature (3;3).- Gerald A. Goldin, Vladimir M. Shtelen, Steven Duplij: Conformal symmetry transformations and nonlinear Maxwell equations.- Laure Gouba: The Yukawa Model in one space - one time dimensions.- Jan Govaerts: Towards the Quantum Geometry of Saturated Quantum Uncertainty Relations: The Case of the (Q; P) Heisenberg Observables.- Partha Guha: The role of the Jacobi Last Multiplier in Nonholonomic Systems and Locally Conformal Symplectic Structure.- Vincent Lahoche and Dine Ousmane Samary: Non-perturbative renormalization group of a U(1) tensor model.- Richard Kerner: Ternary Z2 and Z3 graded algebras and generalized color dynamics.- Vincent J. M. Kiki, Villevo Adanhounme and Mahouton N. Hounkonnou: Pseudo-solution of weight equations in neural networks: application for statistical parameters estimation.- Fortuné Massamba: A Note on Curvatures and Rank 2 Seiberg-Witten Invariants.- Komi Sodoga, IsiakaAremua and Mahouton Norbert Hounkonnou: Shape invariant potential formalism for photon-added coherent state construction.- Mawoussi Todjro and Yaogan Mensah: On the Fourier analysis for L2 operator-valued functions.- Odutayo Raji Rufai: Electrostatic double layers in a magnetized isothermal plasma with two-Maxwellian electrons.- Akira Yoshioka: Star products, star exponentials and star functions.- Index.