Elementary functional analysis: Rev. Engl. ed.
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge, Mass. [u.a.]
MIT Pr.
1974
|
| Schriftenreihe: | Šilov, Georgij E.: Mathematical analysis
2 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Aus d.Russ.übers. |
| Beschreibung: | VI, 334 S. graph. Darst. |
| ISBN: | 0262191229 |
Internformat
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| 245 | 1 | 0 | |a Elementary functional analysis |b Rev. Engl. ed. |c Georgi E. Shilov. Transl. and ed. by Richard A. Silverman |
| 264 | 1 | |a Cambridge, Mass. [u.a.] |b MIT Pr. |c 1974 | |
| 300 | |a VI, 334 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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| 490 | 1 | |a Šilov, Georgij E.: Mathematical analysis |v 2 | |
| 500 | |a Aus d.Russ.übers. | ||
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Datensatz im Suchindex
| _version_ | 1805072922545487872 |
|---|---|
| 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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| indexdate | 2024-07-20T05:01:25Z |
| institution | BVB |
| isbn | 0262191229 |
| language | English |
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| physical | VI, 334 S. graph. Darst. |
| publishDate | 1974 |
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| publisher | MIT Pr. |
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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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