الفهرس الالي للمكتبة المركزية بجامعة عبد الحميد بن باديس - مستغانم

Titre :	Geometric functional analysis and its applications
Type de document :	texte imprimé
Auteurs :	Richard B. Holmes
Editeur :	New York : Springer-Verlag
Année de publication :	[1975]
Collection :	Graduate texts in mathematics, ISSN 0072-5285 num. 24
Importance :	x, 246 p.
Format :	25 cm
ISBN/ISSN/EAN :	978-0-387-90136-7
Note générale :	Includes indexes.
Mots-clés :	convexity in linear spaces - principales of banach spaces - conjugate spaces and univzrsal spaces
Index. décimale :	515/.
Résumé :	This book provides a comprehensive presentation of geometric results, primarily from the theory of convex sets, that have been proved by the use of Fourier series or spherical harmonics. An important feature of the book is that all necessary tools from the classical theory of spherical harmonics are presented with full proofs. These tools are used to prove geometric inequalities, stability results, uniqueness results for projections and intersections by hyperplanes or half-spaces and characterisations of rotors in convex polytopes. Again, full proofs are given. To make the treatment as self-contained as possible the book begins with background material in analysis and the geometry of convex sets. This treatise will be welcomed both as an introduction to the subject and as a reference book for pure and applied mathemati

Geometric functional analysis and its applications [texte imprimé] / Richard B. Holmes . - New York : Springer-Verlag, [1975] . - x, 246 p. ; 25 cm. - (Graduate texts in mathematics, ISSN 0072-5285; 24) .
ISBN : 978-0-387-90136-7
Includes indexes.

Mots-clés :	convexity in linear spaces - principales of banach spaces - conjugate spaces and univzrsal spaces
Index. décimale :	515/.
Résumé :	This book provides a comprehensive presentation of geometric results, primarily from the theory of convex sets, that have been proved by the use of Fourier series or spherical harmonics. An important feature of the book is that all necessary tools from the classical theory of spherical harmonics are presented with full proofs. These tools are used to prove geometric inequalities, stability results, uniqueness results for projections and intersections by hyperplanes or half-spaces and characterisations of rotors in convex polytopes. Again, full proofs are given. To make the treatment as self-contained as possible the book begins with background material in analysis and the geometry of convex sets. This treatise will be welcomed both as an introduction to the subject and as a reference book for pure and applied mathemati