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Functional Analysis

Vol. I

  • Yuri M. Berezansky
  • Zinovij G. Sheftel
  • Georgij F. Us

Part of the Operator Theory Advances and Applications book series (OT, volume 85)

Table of contents

  1. Front Matter
    Pages i-xix
  2. Yuri M. Berezansky, Zinovij G. Sheftel, Georgij F. Us
    Pages 1-65
  3. Yuri M. Berezansky, Zinovij G. Sheftel, Georgij F. Us
    Pages 67-88
  4. Yuri M. Berezansky, Zinovij G. Sheftel, Georgij F. Us
    Pages 89-132
  5. Yuri M. Berezansky, Zinovij G. Sheftel, Georgij F. Us
    Pages 133-145
  6. Yuri M. Berezansky, Zinovij G. Sheftel, Georgij F. Us
    Pages 177-214
  7. Yuri M. Berezansky, Zinovij G. Sheftel, Georgij F. Us
    Pages 215-271
  8. Yuri M. Berezansky, Zinovij G. Sheftel, Georgij F. Us
    Pages 273-320
  9. Yuri M. Berezansky, Zinovij G. Sheftel, Georgij F. Us
    Pages 321-354
  10. Yuri M. Berezansky, Zinovij G. Sheftel, Georgij F. Us
    Pages 355-384
  11. Yuri M. Berezansky, Zinovij G. Sheftel, Georgij F. Us
    Pages 385-410
  12. Back Matter
    Pages 411-423

About this book

Introduction

"Functional Analysis" is a comprehensive, 2-volume treatment of a subject lying at the core of modern analysis and mathematical physics. The first volume reviews basic concepts such as the measure, the integral, Banach spaces, bounded operators and generalized functions. Volume II moves on to more advanced topics including unbounded operators, spectral decomposition, expansion in generalized eigenvectors, rigged spaces, and partial differential operators. This text provides students of mathematics and physics with a clear introduction into the above concepts, with the theory well illustrated by a wealth of examples. Researchers will appreciate it as a useful reference manual.

Keywords

Algebra Compact operator Finite Fourier transform Hilbert space Topology Variable calculus equation function functional analysis generalized function integral theory mathematics spectral theory

Authors and affiliations

  • Yuri M. Berezansky
    • 1
  • Zinovij G. Sheftel
    • 2
  • Georgij F. Us
    • 3
  1. 1.Institute of MathematicsUkrainian Academy of SciencesKievUkraine
  2. 2.Department of MathematicsPedagogical InstituteChernigovUkraine
  3. 3.Mechanics and Mathematics FacultyKiev UniversityKievUkraine

Bibliographic information