Louis Boutet de Monvel, Selected Works

Nonfiction, Science & Nature, Mathematics, Differential Equations, Mathematical Analysis
Cover of the book Louis Boutet de Monvel, Selected Works by , Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: ISBN: 9783319279091
Publisher: Springer International Publishing Publication: May 5, 2017
Imprint: Birkhäuser Language: English
Author:
ISBN: 9783319279091
Publisher: Springer International Publishing
Publication: May 5, 2017
Imprint: Birkhäuser
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Implications of Pyrite Oxidation for Engineering Works by
Cover of the book Task Design In Mathematics Education by
Cover of the book Network Science In Education by
Cover of the book Robust Optimization of Spline Models and Complex Regulatory Networks by
Cover of the book Nutrition Guide for Physicians and Related Healthcare Professionals by
Cover of the book Competence Based Education and Training (CBET) and the End of Human Learning by
Cover of the book Resistance to Proteasome Inhibitors in Cancer by
Cover of the book The Bioarchaeology of Societal Collapse and Regeneration in Ancient Peru by
Cover of the book Carotenoids in Nature by
Cover of the book Fairy Tales on the Teen Screen by
Cover of the book Nano-scale Heat Transfer in Nanostructures by
Cover of the book Recent Advances in Information and Communication Technology 2018 by
Cover of the book Advances in Visual Computing by
Cover of the book Modelling the Fate of Chemicals in the Environment and the Human Body by
Cover of the book Computational Movement Analysis by
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy