Introduction to modern analysis:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Oxford [u.a.]
Oxford Univ. Press
2006
|
| Edition: | 1. publ. in paperback |
| Series: | Oxford graduate texts in mathematics
8 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 434 S. |
| ISBN: | 0199203156 9780199203154 |
Staff View
MARC
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| 245 | 1 | 0 | |a Introduction to modern analysis |c Shmuel Kantorovitz |
| 250 | |a 1. publ. in paperback | ||
| 264 | 1 | |a Oxford [u.a.] |b Oxford Univ. Press |c 2006 | |
| 300 | |a XII, 434 S. | ||
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| 490 | 1 | |a Oxford graduate texts in mathematics |v 8 | |
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Record in the Search Index
| _version_ | 1805075465801564160 |
|---|---|
| adam_text |
Contents
1.1
Measurable sets and functions
1.2
Positive measures
1.3
Integration of non-negative measurable functions
1.4
Integrable
1.5
ZAspaces
1.6
Inner product
1.7
Hilbert space: a first look
1.8
The Lebesgue-Radon-Nikodym theorem
1.9
Complex measures
1.10
Convergence
1.11
Convergence on finite measure space
1.12
Distribution function
1.13
Truncation
Exercises
Measures
1
7
9
15
22
29
32
34
39
46
49
50
52
54
Construction of measures
2.1
2.2
2.3
2.4
2.5
2.6
2.7
Exercises
Measure and topology
3.1
3.2
3.3
3.4
3.5
3.6
Exercises
Contents
Continuous linear functionals
4.1
4.2
4.3
4.4
4.5
Exercises
Duality
5.1
5.2
5.3
5.4
5.5
5.6
5.7
5.8
interpolation theorem
Exercises
Bounded operators
6.1
6.2
6.3
6.4
6.5
6.6
Exercises
Banach algebras
7.1
7.2
7.3
7.4
7.5
7.6
Exercises
Hubert spaces
8.1
8.2
8.3
8.4
8.5
8.6
8.7
Exercises
Contents
9 Integral
9.1
9.2
9.3
9.4
9.5
9.6
9.7
9.8
9.9
9.10
9.11
9.12
Exercises
10
10.1
10.2
10.3
operators
10.4
operators
10.5
Banach space
10.6
Exercises
Application I Probability
1.1 Heuristics
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9
1.
Application II Distributions
ILI
11.2 Distributions
11.3 Temperate distributions
11.4 Fundamental solutions
11.5 Solution in E'
11.6 Regularity of solutions
xii
11.
11.
11.9
Bibliography
Index |
| adam_txt |
Contents
1.1
Measurable sets and functions
1.2
Positive measures
1.3
Integration of non-negative measurable functions
1.4
Integrable
1.5
ZAspaces
1.6
Inner product
1.7
Hilbert space: a first look
1.8
The Lebesgue-Radon-Nikodym theorem
1.9
Complex measures
1.10
Convergence
1.11
Convergence on finite measure space
1.12
Distribution function
1.13
Truncation
Exercises
Measures
1
7
9
15
22
29
32
34
39
46
49
50
52
54
Construction of measures
2.1
2.2
2.3
2.4
2.5
2.6
2.7
Exercises
Measure and topology
3.1
3.2
3.3
3.4
3.5
3.6
Exercises
Contents
Continuous linear functionals
4.1
4.2
4.3
4.4
4.5
Exercises
Duality
5.1
5.2
5.3
5.4
5.5
5.6
5.7
5.8
interpolation theorem
Exercises
Bounded operators
6.1
6.2
6.3
6.4
6.5
6.6
Exercises
Banach algebras
7.1
7.2
7.3
7.4
7.5
7.6
Exercises
Hubert spaces
8.1
8.2
8.3
8.4
8.5
8.6
8.7
Exercises
Contents
9 Integral
9.1
9.2
9.3
9.4
9.5
9.6
9.7
9.8
9.9
9.10
9.11
9.12
Exercises
10
10.1
10.2
10.3
operators
10.4
operators
10.5
Banach space
10.6
Exercises
Application I Probability
1.1 Heuristics
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9
1.
Application II Distributions
ILI
11.2 Distributions
11.3 Temperate distributions
11.4 Fundamental solutions
11.5 Solution in E'
11.6 Regularity of solutions
xii
11.
11.
11.9
Bibliography
Index |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Kantorovitz, Shmuel 1935- |
| author_GND | (DE-588)132426080 |
| author_facet | Kantorovitz, Shmuel 1935- |
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| author_sort | Kantorovitz, Shmuel 1935- |
| author_variant | s k sk |
| building | Verbundindex |
| bvnumber | BV021818178 |
| classification_rvk | SK 130 SK 400 |
| classification_tum | MAT 260f |
| ctrlnum | (OCoLC)255655006 (DE-599)BVBBV021818178 |
| dewey-full | 515 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515 |
| dewey-search | 515 |
| dewey-sort | 3515 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| edition | 1. publ. in paperback |
| format | Book |
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| isbn | 0199203156 9780199203154 |
| language | English |
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| spelling | Kantorovitz, Shmuel 1935- Verfasser (DE-588)132426080 aut Introduction to modern analysis Shmuel Kantorovitz 1. publ. in paperback Oxford [u.a.] Oxford Univ. Press 2006 XII, 434 S. txt rdacontent n rdamedia nc rdacarrier Oxford graduate texts in mathematics 8 Funktionalanalysis - Maßtheorie Analysis (DE-588)4001865-9 gnd rswk-swf Analysis (DE-588)4001865-9 s DE-604 Oxford graduate texts in mathematics 8 (DE-604)BV011416591 8 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015030364&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kantorovitz, Shmuel 1935- Introduction to modern analysis Oxford graduate texts in mathematics Funktionalanalysis - Maßtheorie Analysis (DE-588)4001865-9 gnd |
| subject_GND | (DE-588)4001865-9 |
| title | Introduction to modern analysis |
| title_auth | Introduction to modern analysis |
| title_exact_search | Introduction to modern analysis |
| title_exact_search_txtP | Introduction to modern analysis |
| title_full | Introduction to modern analysis Shmuel Kantorovitz |
| title_fullStr | Introduction to modern analysis Shmuel Kantorovitz |
| title_full_unstemmed | Introduction to modern analysis Shmuel Kantorovitz |
| title_short | Introduction to modern analysis |
| title_sort | introduction to modern analysis |
| topic | Funktionalanalysis - Maßtheorie Analysis (DE-588)4001865-9 gnd |
| topic_facet | Funktionalanalysis - Maßtheorie Analysis |
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