Algebraic Analysis
eBook - PDF

Algebraic Analysis

Papers Dedicated to Professor Mikio Sato on the Occasion of His Sixtieth Birthday

  1. 494 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Algebraic Analysis

Papers Dedicated to Professor Mikio Sato on the Occasion of His Sixtieth Birthday

About this book

Algebraic Analysis: Papers Dedicated to Professor Mikio Sato on the Occasion of his 60th Birthday, Volume I is a collection of research papers on algebraic analysis and related topics in honor to Professor Mikio Sato's 60th birthday. This volume is composed of 35 chapters and begins with papers concerning Sato's early career in algebraic analysis. The succeeding chapters deal with research works on the existence of local holomorphic solutions, the holonomic q-difference systems, partial differential equations, and the properties of solvable models. Other chapters explore the fundamentals of hypergeometric functions, the Toda lattice in the complex domain, the Lie algebras, b-functions, p-adic integrals, analytic parameters of hyperfunctions, and some applicatioins of microlocal energy methods to analytic hypoeellipticity. This volume also presents studies on the complex powers of p-adic fields, operational calculus, extensions of microfunction sheaves up to the boundary, and the irregularity of holonomic modules. The last chapters feature research works on error analysis of quadrature formulas obtained by variable transformation and the analytic functional on the complex light cone, as well as their Fourier-Borel transformations. This book will prove useful to mathematicians and advance mathematics students.

Frequently asked questions

Yes, you can cancel anytime from the Subscription tab in your account settings on the Perlego website. Your subscription will stay active until the end of your current billing period. Learn how to cancel your subscription.
No, books cannot be downloaded as external files, such as PDFs, for use outside of Perlego. However, you can download books within the Perlego app for offline reading on mobile or tablet. Learn more here.
Perlego offers two plans: Essential and Complete
  • Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
  • Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
Both plans are available with monthly, semester, or annual billing cycles.
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1 million books across 1000+ topics, we’ve got you covered! Learn more here.
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more here.
Yes! You can use the Perlego app on both iOS or Android devices to read anytime, anywhere — even offline. Perfect for commutes or when you’re on the go.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Yes, you can access Algebraic Analysis by Masaki Kashiwara,Takahiro Kawai in PDF and/or ePUB format, as well as other popular books in Mathematics & Calculus. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Academic Press
Year
2014
Print ISBN
9780124004658
eBook ISBN
9781483268026
Topic
Mathematics
Subtopic
Calculus
Index
Mathematics

Table of contents

  1. Front Cover
  2. Algebraic Analysis: Papers Dedicated to Professor Mikio Sato on the Occasion of His Sixtieth Birthday
  3. Copyright Page
  4. Table of Contents
  5. Dedication
  6. VOLUME EDITORS:
  7. Contents of Volume II
  8. Contributors
  9. Introduction
  10. Professor Mikio Sato and his Work
  11. Publications of Professor Mikio Sato
  12. Chapter 1. Three Personal Reminiscences
  13. Chapter 2. Mikio Sato: Impressions
  14. Chapter 3. Sato, a Perfectionist
  15. Chapter 4. Existence of Local Holomorphic Solutions of Differential Equations of Infinite Order
  16. Chapter 5. A Note on Holonomic q- Difference Systems
  17. Chapter 6. Solvable Models in Statistical Mechanics and Riemann Surfaces of Genus Greater than One
  18. Chapter 7. Linearization and Singular Partial Differential Equations
  19. Chapter 8. On the Notions of Scattering State,Potential and Wave-Functionin Quantum Field Theory:An Analytic-Functional Viewpoint
  20. Chapter 9. Two Remarks on Recent Developments in Solvable Models
  21. Chapter 10. Hypergeometric Functions
  22. Chapter 11. Quantization of Lie Groups and Lie Algebras
  23. Chapter 12. The Toda Lattice in the Complex Domain
  24. Chapter 13. Zoll Phenomena in (2 + 1) Dimensions
  25. Chapter 14. A Proof of the Bott Inequalities
  26. Chapter 15. What is the Notion of a Complex Manifold with a Smooth Boundary?
  27. Chapter 16. Toda Molecule Equations
  28. Chapter 17. Microlocal Analysis and Scattering in Quantum Field Theories
  29. Chapter 18. b-Functions and p-adic Integrals
  30. Chapter 19. On the Poles of the Scattering Matrix for Several Convex Bodies
  31. Chapter 20. Symmetrie Tensors of the Α(1)n–1 Family
  32. Chapter 21. On Hyperfunctions with Analytic Parameters
  33. Chapter 22. The Invariant Holonomic Systemon a Semisimple Lie Group
  34. Chapter 23. Some Applications of Microlocal Energy Methods to Analytic Hypoellipticity
  35. Chapter 24. A Proof of the Transformation Formula of the Theta-Functions
  36. Chapter 25. Microlocal Analysis of Infrared Singularities
  37. Chapter 26. On the Global Existence of Real Analytic Solutions of Systems of Linear Differential Equations
  38. Chapter 27. Complex Powers on p-adic Fields and a Resolution of Singularities
  39. Chapter 28.Operational Calculus, Hyperfunctions and Ultradistributions
  40. Chapter 29. On a Conjectural Equation of Certain Kinds of Surfaces
  41. Chapter 29. Vanishing Cycles and Second Microlocalization
  42. Chapter 30. Extensions of Microfunction Sheavesup to the Boundary
  43. Chapter 31. Extension of Holonomic D-modules
  44. Chapter 32. On the Irregularity of the Dx Holonomic Modules
  45. Chapter 33. An Error Analysis of Quadrature Formulas Obtained by Variable Transformation
  46. Chapter 34. Analytic Functionals on the Complex Light Cone and Their Fourier-Borel Transformations
  47. Chapter 35. A p-adic Theory of Hyperfunctions, II