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Synopsis
The theory of analytic functions has been generalized to a large extent to spaces of infinite dimension. This volume has uncovered many new directions of interest, and certain phenomena whose deeper investigation has led to a better knowledge of the theory, including the finite dimensional case.[...] This work is placed in the framework of locally convex spaces, which is necessary in particular for the study of problems relating to spectra. The present work comes in three parts. The first part generalizes several techniques of Commutative Algebra to the non-Noetherian situations which are met in the study of infinite dimensional spaces. The second part, which is the most important, is dedicated to the geometrical study itself. In this section the author generalizes the theorems on the local representation of analytic spaces and the great classical theorems: the Nullstellensatz, the Direct Image theorem and the theorem of Remmert-Stein. The third part contains three appendices which cover several open problems, as well as other aspects of the theory of analytic functions.
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Text: English, French (translation)
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- PublisherNorth-Holland
- Publication date2000
- ISBN 10 0444868674
- ISBN 13 9780444868671
- BindingPaperback
- LanguageEnglish
- Edition number1
- Number of pages274
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Analytic Sets in Locally Convex Spaces (Mathematics Studies)
Seller: killarneybooks, Inagh, CLARE, Ireland
Seller rating 5 out of 5 stars
Soft cover. Condition: Good+. Paperback, x + 275 pages, NOT ex-library. Interior in very good condition: mildly age-toned but clean, with unmarked text and tight binding. A private name stamped on title-page. Cover shows gentle wear. -- The theory of analytic functions has been generalized to a large extent to spaces of infinite dimension. This volume has uncovered many new directions of interest, and certain phenomena whose deeper investigation has led to a better knowledge of the theory, including the finite dimensional case.[.] This work is placed in the framework of locally convex spaces, which is necessary in particular for the study of problems relating to spectra. The present work comes in three parts. The first part generalizes several techniques of Commutative Algebra to the non-Noetherian situations which are met in the study of infinite dimensional spaces. The second part, which is the most important, is dedicated to the geometrical study itself. In this section the author generalizes the theorems on the local representation of analytic spaces and the great classical theorems: the Nullstellensatz, the Direct Image theorem and the theorem of Remmert-Stein. The third part contains three appendices which cover several open problems, as well as other aspects of the theory of analytic functions. Seller Inventory # 003159
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Analytic Sets in Locally Convex Spaces (North-Holland Mathematics Studies, Volume 89)
Seller: Phatpocket Limited, Waltham Abbey, HERTS, United Kingdom
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Condition: Good. Your purchase helps support Sri Lankan Children's Charity 'The Rainbow Centre'. Ex-library, so some stamps and wear, but in good overall condition. Our donations to The Rainbow Centre have helped provide an education and a safe haven to hundreds of children who live in appalling conditions. Seller Inventory # Z1-Y-021-00425
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Analytic Sets in Locally Convex Spaces (North-Holland mathematics studies)
Seller: dsmbooks, Liverpool, United Kingdom
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hardcover. Condition: Good. Good. book. Seller Inventory # D8S0-3-M-0444868674-3
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