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Contemporary Mathematicians

Louis Boutet de Monvel, Selected Works

Editors: Guillemin, Victor W., Sjöstrand, Johannes (Eds.)

  • Allows reader to access selected and grouped works by Louis Boutet de Monvel
  • Conveys Boutet de Monvel’s elegant vision of mathematics
  • Demonstrates how an idea is presented and elaborated on through successive papers
  • Introduces topics covered by Boutet de Monvel’s papers
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eBook $149.00
price for USA (gross)
  • ISBN 978-3-319-27909-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $189.00
price for USA
  • ISBN 978-3-319-27907-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This book features a selection of articles by Louis Boutet de Monvel and presents his contributions to the theory of partial differential equations and analysis. The works selected here reveal his central role in the development of his field, including three cornerstones: firstly, analytic pseudodifferential operators, which have become a fundamental aspect of analytic microlocal analysis, and secondly the Boutet de Monvel calculus for boundary problems for elliptic partial differential operators, which is still an important tool also in index theory. Thirdly, Boutet de Monvel was one of the first people to recognize the importance of the existence of generalized functions, whose singularities are concentrated on a single ray in phase space, which led him to make essential contributions to hypoelliptic operators and to a very successful and influential calculus of Toeplitz operators with applications to spectral and index theory.

Other topics treated here include microlocal analysis, star products and deformation quantization as well as problems in several complex variables, index theory and geometric quantization. This book will appeal to both experts in the field and students who are new to this subject.

About the authors

Victor Guillemin was born in Cambridge, Massachusetts in 1937, obtained his Ph.D degree in Mathematics at Harvard in 1962, and has been a member of the MIT Mathematics Department since 1967. His area of expertise is symplectic geometry, semi-classical analysis and linear partial differential equations.

Johannes Sjöstrand was born in Gothenburg, Sweden in 1947, obtained his PhD degree in Mathematics at the University in Lund in 1972, he has spent most of his professional career in France (Paris, Nice, Orsay, Palaiseau and more recently at the Universite de Bourgogne in Dijon). He works in partial differential equations and spectral theory with tools from microlocal and occasionally complex analysis.

Table of contents (11 chapters)

  • Introduction

    Guillemin, Victor W. (et al.)

    Pages 1-4

  • Louis Boutet de Monvel 1941–2014

    Monvel, Anne Boutet

    Pages 5-16

  • Les travaux de Louis Boutet de Monvel sur les opérateurs pseudodifférentiels et le théorème de l’indice

    Malgrange, Bernard

    Pages 17-18

  • Elliptic Boundary Problems

    Grubb, G.

    Pages 19-235

  • Analytic Pseudodifferential Operators

    Kawai, T.

    Pages 237-374

Buy this book

eBook $149.00
price for USA (gross)
  • ISBN 978-3-319-27909-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $189.00
price for USA
  • ISBN 978-3-319-27907-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Louis Boutet de Monvel, Selected Works
Editors
  • Victor W. Guillemin
  • Johannes Sjöstrand
Series Title
Contemporary Mathematicians
Copyright
2017
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-27909-1
DOI
10.1007/978-3-319-27909-1
Hardcover ISBN
978-3-319-27907-7
Edition Number
1
Number of Pages
VII, 852
Number of Illustrations and Tables
7 b/w illustrations, 9 illustrations in colour
Topics