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 Reading Fluency by
Cover of the book Diabetic Bone Disease by
Cover of the book ROI in Public Health Policy by
Cover of the book European Yearbook of International Economic Law 2017 by
Cover of the book Beyond Lean by
Cover of the book Markov Decision Processes in Practice by
Cover of the book Limits of Stability and Stabilization of Time-Delay Systems by
Cover of the book Biblical Principles of Being an Employee in Contemporary Organizations by
Cover of the book Handbook of Smart Cities by
Cover of the book Nerve Cases by
Cover of the book Flexible Approaches in Data, Information and Knowledge Management by
Cover of the book Why Every Fly Counts by
Cover of the book Synopsis of Pathophysiology in Nuclear Medicine by
Cover of the book Fuzzy Sets, Rough Sets, Multisets and Clustering by
Cover of the book Stochastic Porous Media Equations 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