An introduction to complex analysis in several variables / Lars Hörmander.

Format:

Book

Author/Creator:

Hörmander, Lars.

Series:

North-Holland mathematical library ; v. 7.

North-Holland mathematical library ; v. 7

Language:

English

Subjects (All):

Functions of several complex variables.

Differential equations, Partial.

Analytic functions.

Physical Description:

xii, 254 pages ; 23 cm.

Edition:

Third revised edition.

Place of Publication:

Amsterdam ; New York : North-Holland ; New York, N.Y., U.S.A. : Distributors for the United States and Canada, Elsevier Science Pub. Co., 1990.

Summary:

A number of monographs of various aspects of complex analysis in several variables have appeared since the first version of this book was published, but none of them uses the analytic techniques based on the solution of the Neumann Problem as the main tool. The additions made in this third, revised edition place additional stress on results where these methods are particularly important. Thus, a section has been added presenting Ehrenpreis' fundamental principle'' in full. The local arguments in this section are closely related to the proof of the coherence of the sheaf of germs of functions vanishing on an analytic set. Also added is a discussion of the theorem of Siu on the Lelong numbers of plurisubharmonic functions. Since the L² techniques are essential in the proof and plurisubharmonic functions play such an important role in this book, it seems natural to discuss their main singularities.

Notes:

Includes bibliographical references (pages 249-252) and index.

ISBN:

0444884467

OCLC:

26350683