A Proof of Łojasiewicz’s Theorem
We give a necessary and sufficient condition for a primitive of a distribution to have the value at a point in the sense of Łojasiewicz. A formula defining the indefinite integral of a distribution with a basepoint is introduced, and further structural results are discussed.
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/695617 |
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| _version_ | 1832559829817753600 |
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| author | Namhoon Kim |
| author_facet | Namhoon Kim |
| author_sort | Namhoon Kim |
| collection | DOAJ |
| description | We give a necessary and sufficient condition for a primitive of a distribution to have the value at a point in the sense of Łojasiewicz. A formula defining the indefinite integral of a distribution with a basepoint is introduced, and further structural results are discussed. |
| format | Article |
| id | doaj-art-5522790ace144b5db684bb08075275da |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-5522790ace144b5db684bb08075275da2025-02-03T01:29:08ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/695617695617A Proof of Łojasiewicz’s TheoremNamhoon Kim0Department of Mathematics Education, Hongik University, 72-1 Sangsu-dong, Mapo-gu, Seoul 121-791, Republic of KoreaWe give a necessary and sufficient condition for a primitive of a distribution to have the value at a point in the sense of Łojasiewicz. A formula defining the indefinite integral of a distribution with a basepoint is introduced, and further structural results are discussed.http://dx.doi.org/10.1155/2014/695617 |
| spellingShingle | Namhoon Kim A Proof of Łojasiewicz’s Theorem Abstract and Applied Analysis |
| title | A Proof of Łojasiewicz’s Theorem |
| title_full | A Proof of Łojasiewicz’s Theorem |
| title_fullStr | A Proof of Łojasiewicz’s Theorem |
| title_full_unstemmed | A Proof of Łojasiewicz’s Theorem |
| title_short | A Proof of Łojasiewicz’s Theorem |
| title_sort | proof of lojasiewicz s theorem |
| url | http://dx.doi.org/10.1155/2014/695617 |
| work_keys_str_mv | AT namhoonkim aproofofłojasiewiczstheorem AT namhoonkim proofofłojasiewiczstheorem |