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Functional Analysis in Interdisciplinary Applications

Astana, Kazakhstan, October 2017

  • Conference proceedings
  • © 2017

Overview

Editors:
  1. Tynysbek Sh. Kalmenov

    1. Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan

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  2. Erlan D. Nursultanov

    1. Department of Mechanics and Mathematics, Kazakhstan Branch of Lomonosov Moscow State University, Astana, Kazakhstan

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  3. Michael V. Ruzhansky

    1. Department of Mathematics, Imperial College London, London, United Kingdom

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  4. Makhmud A. Sadybekov

    1. Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan

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  • Offers a comprehensive overview of different aspects of functional analysis
  • Collects recent results on differential and integral equations, and how they relate to spectral theory and boundary value problems
  • Covers various applications of functional analysis, with a focus on physical sciences

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 216)

Included in the following conference series:

Conference proceedings info: FAIA 2017.

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About this book

This volume presents current research in functional analysis and its applications to a variety of problems in mathematics and mathematical physics. The book contains over forty carefully refereed contributions to the conference “Functional Analysis in Interdisciplinary Applications” (Astana, Kazakhstan, October 2017). Topics covered include the theory of functions and functional spaces; differential equations and boundary value problems; the relationship between differential equations, integral operators and spectral theory; and mathematical methods in physical sciences.

Presenting a wide range of topics and results, this book will appeal to anyone working in the subject area, including researchers and students interested to learn more about different aspects and applications of functional analysis.

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Table of contents (43 papers)

  1. Front Matter

    Pages i-xxix
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  2. Theory of Functions and Functional Spaces

    1. Front Matter

      Pages 1-1
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    2. On Evolution of Invariant Riemannian Metrics on Generalized Wallach Spaces Under the Normalized Ricci Flow

      • Nurlan Abiev
      Pages 2-22

    3. Hyperbolic Cross Approximation of Some Multivariate Function Classes with Respect to Wavelet System with Compact Supports

      • Sholpan A. Balgimbayeva
      Pages 23-31

    4. Hyperbolic Cross Approximation of Some Function Classes with Respect to Multiple Haar System on the Unit Cube

      • Dauren B. Bazarkhanov
      Pages 32-43

    5. Compactness of Commutators for One Type of Singular Integrals on Generalized Morrey Spaces

      • Nurzhan Bokayev, Dauren Matin
      Pages 44-51

    6. On Multipliers from Weighted Sobolev Spaces to Lebesgue Spaces

      • Leili Kussainova, Aigul Myrzagaliyeva
      Pages 52-57

    7. Some New Fourier Multiplier Results of Lizorkin and Hörmander Types

      • Erlan Nursultanov, Lyazzat Sarybekova, Nazerke Tleukhanova
      Pages 58-82

    8. Four-Dimensional Generalized Difference Matrix and Almost Convergent Double Sequence Spaces

      • Orhan Tuǧ
      Pages 83-87

    9. The Marcinkiewicz Theorem on the Multipliers of Fourier Series for Weighted Lebesgue Spaces

      • Nazerke Tleukhanova
      Pages 88-96

  3. Differential Equations and Boundary Value Problems

    1. Front Matter

      Pages 97-97
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    2. Periodic Solution of Linear Autonomous Dynamic System

      • Serikbai A. Aisagaliev, Zhanat Kh. Zhunussova
      Pages 98-105

    3. On Solvability of Third-Order Singular Differential Equation

      • Raya D. Akhmetkaliyeva
      Pages 106-112

    4. Solvability of Multipoint-Integral Boundary Value Problem for a Third-Order Differential Equation and Parametrization Method

      • Anar T. Assanova, Askarbek E. Imanchiev
      Pages 113-122

    5. On the Solvability of Nonhomogeneous Boundary Value Problem for the Burgers Equation in the Angular Domain and Related Integral Equations

      • Meiramkul M. Amangaliyeva, Muvasharkhan T. Jenaliyev, Minzilya T. Kosmakova, Murat I. Ramazanov
      Pages 123-141

    6. On Algorithm of Finding Solutions of Semiperiodical Boundary Value Problem for Systems of Nonlinear Hyperbolic Equations

      • Symbat S. Kabdrakhova
      Pages 142-157

    7. On a Solution of a Nonlinear Semi-periodic Boundary Value Problem for a Differential Equation with Arbitrary Functions

      • Nurgul T. Orumbayeva, Gulmira Sabitbekova
      Pages 158-163

    8. An Analogue of the Schwarz Problem for the Moisil–Teodorescu System

      • Viktor A. Polunin, Alexandr P. Soldatov
      Pages 164-170

    9. On an Ill-Posed Problem for the Laplace Operator with Data on the Whole Boundary

      • Berikbol T. Torebek
      Pages 171-178

    10. Operator Method for Constructing a Solution of a Class of Linear Differential Equations of Fractional Order

      • Batirkhan Kh. Turmetov
      Pages 179-193
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Other volumes

  1. Functional Analysis in Interdisciplinary Applications

Editors and Affiliations

  • Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan

    Tynysbek Sh. Kalmenov, Makhmud A. Sadybekov

  • Department of Mechanics and Mathematics, Kazakhstan Branch of Lomonosov Moscow State University, Astana, Kazakhstan

    Erlan D. Nursultanov

  • Department of Mathematics, Imperial College London, London, United Kingdom

    Michael V. Ruzhansky

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