Approximation of Functions of Several Variables and Imbedding Theorems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1975
|
| Schriftenreihe: | Die Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics
205 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This English translation of my book "PribliZenie Funkcir Mnogih Peremennyh i Teoremy Vlozel1iya" is identical in content with the Russian original, published by "Nauka" in 1969. However, I have corrected a number of errors. I am grateful to the publishing house Springer-Verlag for making my book available to mathematicians who do not know Russian. I am also especially grateful to the translator, Professor John M. Danskin, who has fulfilled his task with painstaking care. In doing so he has showed high qualifications both as a mathematician and as a translator of Russian, which is considered by many to be a very difficult language. The discussion in this book is restricted, for the most part, to functions everywhere defined in n-dimensional space. The study of these questions for functions given on bounded regions requires new methods. In. connection with this I note that a new book, "Integral Representations of Functions and Imbedding Theorems", by O. V. Besov, V. P. Il'in, and myself, has just (May 1975) been published, by the publishing house "Nauka", in Moscow. Moscow, U.S.S.R., May 1975 S. M. Nikol'skir Translator's Note I am very grateful to Professor Nikol'skir, whose knowledge of English, which is considered by many to be a very difficult language, is excellent, for much help in achieving a correct translation of his book. And I join Professor Nikol'skir in thanking Springer-Verlag. The editing problem was considerable, and the typographical problem formidable |
| Beschreibung: | 1 Online-Ressource (VIII, 420 p) |
| ISBN: | 9783642657115 9783642657139 |
| DOI: | 10.1007/978-3-642-65711-5 |
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Datensatz im Suchindex
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| adam_text | |
| any_adam_object | |
| author | Nikol'skii, Sergei Mihailovic |
| author_facet | Nikol'skii, Sergei Mihailovic |
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| author_sort | Nikol'skii, Sergei Mihailovic |
| author_variant | s m n sm smn |
| building | Verbundindex |
| bvnumber | BV042422887 |
| classification_tum | MAT 000 |
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| ctrlnum | (OCoLC)863793800 (DE-599)BVBBV042422887 |
| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-642-65711-5 |
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| id | DE-604.BV042422887 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-20T06:38:45Z |
| institution | BVB |
| isbn | 9783642657115 9783642657139 |
| language | English |
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| physical | 1 Online-Ressource (VIII, 420 p) |
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| publishDate | 1975 |
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| series | Die Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics |
| series2 | Die Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics |
| spelling | Nikol'skii, Sergei Mihailovic Verfasser aut Approximation of Functions of Several Variables and Imbedding Theorems by Sergei Mihailovic Nikol'skii Berlin, Heidelberg Springer Berlin Heidelberg 1975 1 Online-Ressource (VIII, 420 p) txt rdacontent c rdamedia cr rdacarrier Die Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics 205 This English translation of my book "PribliZenie Funkcir Mnogih Peremennyh i Teoremy Vlozel1iya" is identical in content with the Russian original, published by "Nauka" in 1969. However, I have corrected a number of errors. I am grateful to the publishing house Springer-Verlag for making my book available to mathematicians who do not know Russian. I am also especially grateful to the translator, Professor John M. Danskin, who has fulfilled his task with painstaking care. In doing so he has showed high qualifications both as a mathematician and as a translator of Russian, which is considered by many to be a very difficult language. The discussion in this book is restricted, for the most part, to functions everywhere defined in n-dimensional space. The study of these questions for functions given on bounded regions requires new methods. In. connection with this I note that a new book, "Integral Representations of Functions and Imbedding Theorems", by O. V. Besov, V. P. Il'in, and myself, has just (May 1975) been published, by the publishing house "Nauka", in Moscow. Moscow, U.S.S.R., May 1975 S. M. Nikol'skir Translator's Note I am very grateful to Professor Nikol'skir, whose knowledge of English, which is considered by many to be a very difficult language, is excellent, for much help in achieving a correct translation of his book. And I join Professor Nikol'skir in thanking Springer-Verlag. The editing problem was considerable, and the typographical problem formidable Mathematics Mathematics, general Mathematik Approximation (DE-588)4002498-2 gnd rswk-swf Einbettung Mathematik (DE-588)4151233-9 gnd rswk-swf Approximationstheorie (DE-588)4120913-8 gnd rswk-swf Näherungsfunktion (DE-588)4261008-4 gnd rswk-swf Einbettungssatz Mathematik (DE-588)4543778-6 gnd rswk-swf Einbettungssatz Mathematik (DE-588)4543778-6 s Approximationstheorie (DE-588)4120913-8 s 1\p DE-604 Näherungsfunktion (DE-588)4261008-4 s 2\p DE-604 Approximation (DE-588)4002498-2 s 3\p DE-604 Einbettung Mathematik (DE-588)4151233-9 s 4\p DE-604 Die Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics 205 (DE-604)BV049758308 205 https://doi.org/10.1007/978-3-642-65711-5 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Nikol'skii, Sergei Mihailovic Approximation of Functions of Several Variables and Imbedding Theorems Die Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics Mathematics Mathematics, general Mathematik Approximation (DE-588)4002498-2 gnd Einbettung Mathematik (DE-588)4151233-9 gnd Approximationstheorie (DE-588)4120913-8 gnd Näherungsfunktion (DE-588)4261008-4 gnd Einbettungssatz Mathematik (DE-588)4543778-6 gnd |
| subject_GND | (DE-588)4002498-2 (DE-588)4151233-9 (DE-588)4120913-8 (DE-588)4261008-4 (DE-588)4543778-6 |
| title | Approximation of Functions of Several Variables and Imbedding Theorems |
| title_auth | Approximation of Functions of Several Variables and Imbedding Theorems |
| title_exact_search | Approximation of Functions of Several Variables and Imbedding Theorems |
| title_full | Approximation of Functions of Several Variables and Imbedding Theorems by Sergei Mihailovic Nikol'skii |
| title_fullStr | Approximation of Functions of Several Variables and Imbedding Theorems by Sergei Mihailovic Nikol'skii |
| title_full_unstemmed | Approximation of Functions of Several Variables and Imbedding Theorems by Sergei Mihailovic Nikol'skii |
| title_short | Approximation of Functions of Several Variables and Imbedding Theorems |
| title_sort | approximation of functions of several variables and imbedding theorems |
| topic | Mathematics Mathematics, general Mathematik Approximation (DE-588)4002498-2 gnd Einbettung Mathematik (DE-588)4151233-9 gnd Approximationstheorie (DE-588)4120913-8 gnd Näherungsfunktion (DE-588)4261008-4 gnd Einbettungssatz Mathematik (DE-588)4543778-6 gnd |
| topic_facet | Mathematics Mathematics, general Mathematik Approximation Einbettung Mathematik Approximationstheorie Näherungsfunktion Einbettungssatz Mathematik |
| url | https://doi.org/10.1007/978-3-642-65711-5 |
| volume_link | (DE-604)BV049758308 |
| work_keys_str_mv | AT nikolskiisergeimihailovic approximationoffunctionsofseveralvariablesandimbeddingtheorems |