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**About this book :- **
**The Neumann Problem for the Cauchy-Riemann Complex ** written by
** Gerald B. Folland, Joseph John Kohn **

This book is based on the notes from lectures given by the second author at Princeton University in the year 1970-71, which were subsequently expanded and revised by the first author. Our aim has been to provide a thorough and coherent account of the solution of the J-Neumann problem and certain of its applications and ramifications, and we have taken the opportunity afforded by the monograph format to employ a somewhat more leisurely style than is common in the original journal articles. It is our hope that this book may thereby be accessible to a fairly wide audience and that it may also provide a sort of working introduction to some of the recent techniques in partial differential equations.

Part explanation of important recent work, and part introduction to some of the techniques of modern partial differential equations, this monograph is a self-contained exposition of the Neumann problem for the Cauchy-Riemann complex and certain of its applications. The authors prove the main existence and regularity theorems in detail, assuming only a knowledge of the basic theory of differentiable manifolds and operators on Hilbert space. They discuss applications to the theory of several complex variables, examine the associated complex on the boundary, and outline other techniques relevant to these problems. In an appendix they develop the functional analysis of differential operators in terms of Sobolev spaces, to the extent it is required for the monograph.

(Gerald B. Folland)

**Book Detail :- **
** Title: ** The Neumann Problem for the Cauchy-Riemann Complex
** Edition: **
** Author(s): ** Gerald B. Folland, Joseph John Kohn
** Publisher: ** Princeton University Press
** Series: ** Annals of Mathematics Studies 75
** Year: ** 1972
** Pages: ** 158
** Type: ** PDF
** Language: ** English
** ISBN: ** 0691081204,9780691081205
** Country: ** US

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**About Author :- **

Author ** Gerald Budge Folland ** is an American mathematician and a professor of mathematics at the University of Washington. His areas of interest are harmonic analysis (on both Euclidean space and Lie groups), differential equations, and mathematical physics. The title of his doctoral dissertation at Princeton University (1971) is "The Tangential Cauchy-Riemann Complex on Spheres".

He is the author of several textbooks in mathematical analysis. In 2012 he became a fellow of the American Mathematical Society.

**All Famous Books of this Author :- **

Here is list all books, text books, editions, versions or solution manuals avaliable of this author, We recomended you to download all.

** • Download PDF Real Analysis 2E: Modern Techniques and Their Applications by Gerald B. Folland **

** • Download PDF A Guide to Advanced Real Analysis by Gerald B. Folland **

** • Download PDF A Course in Abstract Harmonic Analysis (2E) by Gerald B. Folland **

** • Download PDF Partial Differential Equations (2E) by Gerald B. Folland **

** • Download PDF The Neumann Problem for the Cauchy-Riemann Complex by Gerald B. Folland, Joseph John Kohn **

** • Download PDF Advanced Calculus by Gerald B. Folland **

** • Download PDF Fourier Analysis and Its Applications by Gerald B. Folland **

** • Download PDF Quantum Field Theory by Gerald B. Folland **

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**Book Contents :- **
**The Neumann Problem for the Cauchy-Riemann Complex ** written by
** Gerald B. Folland **
cover the following topics.

1. Formulation of the Problem

2. The Main Theorem

3. Interpretation of the Main Theorem

4. Applications

5. The Boundary Complex

6. Other Methods and Results

Appendix The Functional Analysis of Differential Operators

Refrences

Terminological Index

Notational Index

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