Mathematical Structures and Applications

1. Front Matter

   Pages i-xvii

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2. Metric Operators, Generalized Hermiticity, and Partial Inner Product Spaces

   • Jean-Pierre Antoine, Camillo Trapani

   Pages 1-20

3. Beyond Frames: Semi-frames and Reproducing Pairs

   • Jean-Pierre Antoine, Camillo Trapani

   Pages 21-59

4. On Hilbert-Schmidt Operator Formulation of Noncommutative Quantum Mechanics

   • Isiaka Aremua, Ezinvi Baloïtcha, Mahouton Norbert Hounkonnou, Komi Sodoga

   Pages 61-118

5. Symplectic Affine Action and Momentum with Cocycle

   • Augustin Batubenge, Wallace Haziyu

   Pages 119-135

6. Some Difference Integral Inequalities

   • G. Bangerezako, J. P. Nuwacu

   Pages 137-152

7. Theoretical and Numerical Comparisons of the Parameter Estimator of the Fractional Brownian Motion

   • Jean-Marc Bardet

   Pages 153-173

8. Minimal Lethal Disturbance for Finite Dimensional Linear Systems

   • Abdes Samed Bernoussi, Mina Amharref, Mustapha Ouardouz

   Pages 175-198

9. Walker Osserman Metric of Signature (3, 3)

   • Abdoul Salam Diallo, Mouhamadou Hassirou, Ousmane Toudou Issa

   Pages 199-210

10. Conformal Symmetry Transformations and Nonlinear Maxwell Equations

    • Gerald A. Goldin, Vladimir M. Shtelen, Steven Duplij

    Pages 211-224

11. The Yukawa Model in One Space - One Time Dimensions

    • Laure Gouba

    Pages 225-233

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

    • Jan Govaerts

    Pages 235-273

13. The Role of the Jacobi Last Multiplier in Nonholonomic Systems and Locally Conformal Symplectic Structure

    • Partha Guha

    Pages 275-291

14. Non-perturbative Renormalization Group of a U(1) Tensor Model

    • Vincent Lahoche, Dine Ousmane Samary

    Pages 293-310

15. Ternary Z₂ and Z₃ Graded Algebras and Generalized Color Dynamics

    • Richard Kerner

    Pages 311-357

16. 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

17. A Note on Curvatures and Rank 2 Seiberg–Witten Invariants

    • Fortuné Massamba

    Pages 375-391

18. Shape Invariant Potential Formalism for Photon-Added Coherent State Construction

    • Komi Sodoga, Isiaka Aremua, Mahouton Norbert Hounkonnou

    Pages 393-421

19. On the Fourier Analysis for L² Operator-Valued Functions

    • Mawoussi Todjro, Yaogan Mensah

    Pages 423-431

20. Electrostatic Double Layers in a Magnetized Isothermal Plasma with two Maxwellian Electrons

    • Odutayo Raji Rufai

    Pages 433-438

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.

• Symplectic Structures
• Quantum Mechanics
• Adomian Method
• Conformal Symmetry
• Nonholonomic systems
• tensor field
• renormalization group
• Maxwell fields
• Neural networks
• Symplectic Affine Action

• Mathematical Sciences Department, The University of Alabama in Huntsville, Hunstville, USA

  Toka Diagana

• Department of Mathematics, Howard University, Washington, DC, USA

  Bourama Toni

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.

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