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Mathematical Structures and Applications

In Honor of Mahouton Norbert Hounkonnou

  • Book
  • © 2018

Overview

Editors:
  1. Toka Diagana

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

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    You can also search for this editor in PubMed   Google Scholar

  2. Bourama Toni

    1. Department of Mathematics, Howard University, Washington, DC, USA

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  • 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

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Table of contents (20 chapters)

  1. Front Matter

    Pages i-xvii
    Download chapter PDF

  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
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Keywords

About this book

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.


Editors and Affiliations

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

    Toka Diagana

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

    Bourama Toni

About the editors

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.

Bibliographic Information

  • Book Title: Mathematical Structures and Applications

  • Book Subtitle: In Honor of Mahouton Norbert Hounkonnou

  • Editors: Toka Diagana, Bourama Toni

  • Series Title: STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health

  • DOI: https://doi.org/10.1007/978-3-319-97175-9

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Nature Switzerland AG 2018

  • Hardcover ISBN: 978-3-319-97174-2Published: 12 November 2018

  • Softcover ISBN: 978-3-030-07316-9Published: 25 January 2019

  • eBook ISBN: 978-3-319-97175-9Published: 31 October 2018

  • Series ISSN: 2520-193X

  • Series E-ISSN: 2520-1948

  • Edition Number: 1

  • Number of Pages: XVII, 462

  • Number of Illustrations: 19 b/w illustrations, 8 illustrations in colour

  • Topics: Applications of Mathematics

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