Pseudo-Differential Operators and Symmetries

Background Analysis and Advanced Topics

Authors:

ISBN: 978-3-7643-8513-2 (Print) 978-3-7643-8514-9 (Online)

Table of contents (18 chapters)

  1. Front Matter

    Pages i-xiv

  2. Introduction

    1. No Access

      Book Chapter

      Pages 1-6

      Introduction

  3. Foundations of Analysis

    1. Front Matter

      Pages 7-7

    2. No Access

      Book Chapter

      Pages 9-78

      Sets, Topology and Metrics

    3. No Access

      Book Chapter

      Pages 79-113

      Elementary Functional Analysis

    4. No Access

      Book Chapter

      Pages 115-189

      Measure Theory and Integration

    5. No Access

      Book Chapter

      Pages 191-218

      Algebras

  4. Commutative Symmetries

    1. Front Matter

      Pages 219-220

    2. No Access

      Book Chapter

      Pages 221-258

      Fourier Analysis on ℝ n

    3. No Access

      Book Chapter

      Pages 259-296

      Pseudo-differential Operators on ℝ n

    4. No Access

      Book Chapter

      Pages 297-331

      Periodic and Discrete Analysis

    5. No Access

      Book Chapter

      Pages 333-412

      Pseudo-differential Operators on \( \mathbb{T}^n \)

    6. No Access

      Book Chapter

      Pages 413-426

      Commutator Characterisation of Pseudo-differential Operators

  5. Representation Theory of Compact Groups

    1. Front Matter

      Pages 427-427

    2. No Access

      Book Chapter

      Pages 429-444

      Groups

    3. No Access

      Book Chapter

      Pages 445-489

      Topological Groups

    4. No Access

      Book Chapter

      Pages 491-513

      Linear Lie Groups

    5. No Access

      Book Chapter

      Pages 515-526

      Hopf Algebras

  6. Non-commutative Symmetries

    1. Front Matter

      Pages 527-528

    2. No Access

      Book Chapter

      Pages 529-593

      Pseudo-differential Operators on Compact Lie Groups

    3. No Access

      Book Chapter

      Pages 595-630

      Fourier Analysis on SU(2)

    4. No Access

      Book Chapter

      Pages 631-665

      Pseudo-differential Operators on SU(2)

    5. No Access

      Book Chapter

      Pages 667-681

      Pseudo-differential Operators on Homogeneous Spaces

  7. Back Matter

    Pages 683-709