Holdings: Elementary functional analysis

Elementary functional analysis: Rev. Engl. ed.

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Bibliographic Details
Main Author:	Šilov, Georgij E. 1917-1975 (Author)
Format:	Book
Language:	English
Published:	Cambridge, Mass. [u.a.] MIT Pr. 1974
Series:	Šilov, Georgij E.: Mathematical analysis 2
Subjects:	Lineare Algebra Funktionalanalysis Analysis Einführung
Online Access:	Inhaltsverzeichnis
Item Description:	Aus d.Russ.übers.
Physical Description:	VI, 334 S. graph. Darst.
ISBN:	0262191229

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adam_text	Contents Preface vii 1 Basic Structures of Mathematical Analysis 1 1.1. Linear Spaces 2 1.2. Metric Spaces 25 1.3. Normed Linear Spaces 36 1.4. Hilbert Spaces 54 1.5. Approximation on a Compactum 68 1.6. Differentiation and Integration in a Normed Linear Space 83 1.7. Continuous Linear Operators 97 1.8. Normed Algebras 123 1.9. Spectral Properties of Linear Operators 131 Problems 141 2 Differential Equations 145 2.1. Definitions and Examples 145 2.2. The Fixed Point Theorem 160 2.3. Existence and Uniqueness of Solutions 163 2.4. Systems of Equations 169 2.5. Higher Order Equations 172 2.6. Linear Equations and Systems 174 2.7. The Homogeneous Linear Equation 177 2.8. The Nonhomogeneous Linear Equation 181 Problems 185 3 Space Curves 188 3.1. Basic Concepts 188 3.2. Higher Derivatives 193 3.3. Curvature 196 3.4. The Moving Basis 200 3.5. The Natural Equations 208 3.6. Helices 213 Problems 218 4 Orthogonal Expansions 220 4.1. Orthogonal Expansions in Hilbert Space 220 vi Contents 4.2. Trigonometric Fourier Series 226 4.3. Convergence of Fourier Series 232 4.4. Computations with Fourier Series 241 4.5. Divergent Fourier Series and Generalized Summation 258 4.6. Other Orthogonal Systems 264 Problems 270 5 The Fourier Transform 274 5.1. The Fourier Integral and Its Inversion 274 5.2. Further Properties of the Fourier Transform 280 5.3. Examples and Applications 293 5.4. The Laplace Transform 296 5.5. Quasi Analytic Classes of Functions 307 Problems 317 Hints and Answers 320 Bibliography 326 Index 327
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series	Šilov, Georgij E.: Mathematical analysis
series2	Šilov, Georgij E.: Mathematical analysis
spelling	Šilov, Georgij E. 1917-1975 Verfasser (DE-588)133801780 aut Matematičeskij analiz funkcii odnovo peremennovo Elementary functional analysis Rev. Engl. ed. Georgi E. Shilov. Transl. and ed. by Richard A. Silverman Cambridge, Mass. [u.a.] MIT Pr. 1974 VI, 334 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Šilov, Georgij E.: Mathematical analysis 2 Aus d.Russ.übers. Lineare Algebra (DE-588)4035811-2 gnd rswk-swf Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf Analysis (DE-588)4001865-9 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Funktionalanalysis (DE-588)4018916-8 s DE-604 Analysis (DE-588)4001865-9 s Lineare Algebra (DE-588)4035811-2 s Silverman, Richard A. 1926- Sonstige (DE-588)13970468X oth Šilov, Georgij E.: Mathematical analysis 2 (DE-604)BV006810010 2 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001929436&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Šilov, Georgij E. 1917-1975 Elementary functional analysis Rev. Engl. ed. Šilov, Georgij E.: Mathematical analysis Lineare Algebra (DE-588)4035811-2 gnd Funktionalanalysis (DE-588)4018916-8 gnd Analysis (DE-588)4001865-9 gnd
subject_GND	(DE-588)4035811-2 (DE-588)4018916-8 (DE-588)4001865-9 (DE-588)4151278-9
title	Elementary functional analysis Rev. Engl. ed.
title_alt	Matematičeskij analiz funkcii odnovo peremennovo
title_auth	Elementary functional analysis Rev. Engl. ed.
title_exact_search	Elementary functional analysis Rev. Engl. ed.
title_full	Elementary functional analysis Rev. Engl. ed. Georgi E. Shilov. Transl. and ed. by Richard A. Silverman
title_fullStr	Elementary functional analysis Rev. Engl. ed. Georgi E. Shilov. Transl. and ed. by Richard A. Silverman
title_full_unstemmed	Elementary functional analysis Rev. Engl. ed. Georgi E. Shilov. Transl. and ed. by Richard A. Silverman
title_short	Elementary functional analysis
title_sort	elementary functional analysis rev engl ed
title_sub	Rev. Engl. ed.
topic	Lineare Algebra (DE-588)4035811-2 gnd Funktionalanalysis (DE-588)4018916-8 gnd Analysis (DE-588)4001865-9 gnd
topic_facet	Lineare Algebra Funktionalanalysis Analysis Einführung
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001929436&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV006810010
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