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Mathematical Analysis, Probability and Applications – Plenary Lectures

ISAAC 2015, Macau, China

  • Conference proceedings
  • © 2016

Overview

Editors:
  1. Tao Qian

    1. Faculty of Science and Technology, University of Macau, Taipa, Macao

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    You can also search for this editor in PubMed   Google Scholar

  2. Luigi G. Rodino

    1. Department of Mathematics, University of Torino, Torino, Italy

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    You can also search for this editor in PubMed   Google Scholar

  • Offers a quick and non-technical introduction to recent major themes in analysis and its applications
  • Provides surveys on the latest achievements concerning partial differential equations in Mathematical Physics
  • Highlights outstanding mathematical schools in Asia, especially from China, Japan and Vietnam
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 177)

Included in the following conference series:

Conference proceedings info: ISAAC 2015.

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Table of contents (11 papers)

  1. Front Matter

    Pages i-vii
    Download chapter PDF

  2. A Review of Brownian Motion Based Solely on the Langevin Equation with White Noise

    • L. Cohen
    Pages 1-35

  3. Geometry-Fitted Fourier-Mellin Transform Pairs

    • Darren Crowdy
    Pages 37-53

  4. First Order Approach to \(L^p\) Estimates for the Stokes Operator on Lipschitz Domains

    • Alan McIntosh, Sylvie Monniaux
    Pages 55-75

  5. The Study of Complex Shapes of Fluid Membranes, the Helfrich Functional and New Applications

    • Zhong-Can Ou-Yang, Zhan-Chun Tu
    Pages 77-101

  6. Multiplication and Composition in Weighted Modulation Spaces

    • Maximilian Reich, Winfried Sickel
    Pages 103-149

  7. A Reproducing Kernel Theory with Some General Applications

    • Saburou Saitoh
    Pages 151-182

  8. Sparse Approximation by Greedy Algorithms

    • V. Temlyakov
    Pages 183-215

  9. The Bi-free Extension of Free Probability

    • Dan-Virgil Voiculescu
    Pages 217-233

  10. Stability of the Prandtl Boundary Layers

    • Y.-G. Wang
    Pages 235-251

  11. Visual Exploration of Complex Functions

    • Elias Wegert
    Pages 253-279

  12. Integral Transform Approach to Time-Dependent Partial Differential Equations

    • Karen Yagdjian
    Pages 281-336
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  1. Mathematical Analysis, Probability and Applications – Plenary Lectures

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About this book

This book collects lectures given by the plenary speakers at the 10th International ISAAC Congress, held in Macau, China in 2015. The contributions, authored by eminent specialists, present some of the most exciting recent developments in mathematical analysis, probability theory, and related applications. Topics include: partial differential equations in mathematical physics, Fourier analysis, probability and Brownian motion, numerical analysis, and reproducing kernels. The volume also presents a lecture on the visual exploration of complex functions using the domain coloring technique. Thanks to the accessible style used, readers only need a basic command of calculus.

Editors and Affiliations

  • Faculty of Science and Technology, University of Macau, Taipa, Macao

    Tao Qian

  • Department of Mathematics, University of Torino, Torino, Italy

    Luigi G. Rodino

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