I had mixed feelings when I thought how I should prepare the book for the second edition. It was clear to me that I had to correct all mistakes and misprints that were found in the book during the life of the first edition. This was easy to do because the mistakes were mostly minor and easy to correct, and the misprints were not many. It was more difficult to decide whether I should update the book (or at least its bibliography) somehow. I decided that it did not need much of an updating. The main value of any good mathematical book is that it teaches its reader some language and some skills. It can not exhaust any substantial topic no matter how hard the author tried. Pseudodifferential operators became a language and a tool of analysis of partial differential equations long ago. Therefore it is meaningless to try to exhaust this topic. Here is an easy proof. As of July 3, 2000, MathSciNet (the database of the American Mathematical Society) in a few seconds found 3695 sources, among them 363 books, during its search for "pseudodifferential operator". (The search also led to finding 963 sources for "pseudo-differential operator" but I was unable to check how much the results ofthese two searches intersected). This means that the corresponding words appear either in the title or in the review published in Mathematical Reviews.
The theory of Toeplitz operators has come to resemble more and more in recent years the classical theory of pseudodifferential operators.
This EMS volume contains a survey of the principles and advanced techniques of the spectral theory of linear differential and pseudodifferential operators in finite-dimensional spaces.
This book marks their respective 80th and 70th birthdays. This is a collection of contributed papers which focus on recent results in areas of differential equations, function spaces, operator theory and interpolation theory.
This EMS volume contains a survey of the principles and advanced techniques of the spectral theory of linear differential and pseudodifferential operators in finite-dimensional spaces.
This EMS volume contains a survey of the principles and advanced techniques of the spectral theory of linear differential and pseudodifferential operators in finite-dimensional spaces.
The book is aimed at researchers in mathematics and mathematical physics with interests in partial differential equations and all its related fields.
Holomorphic operator-valued symbols for edge-degenerate pseudo-differential operators. (to appear in Proceedings Conference “Partial ... Boundary value problems in Boutet de Monvel's algebra for manifolds with conical singularities.
This book marks their respective 80th and 70th birthdays. This is a collection of contributed papers which focus on recent results in areas of differential equations, function spaces, operator theory and interpolation theory.
The book is aimed at researchers in mathematics and mathematical physics with interests in partial differential equations and all its related fields.
The book is aimed at researchers in mathematics and mathematical physics with interests in partial differential equations and all its related fields.