{"created":"2023-07-25T10:21:39.121332+00:00","id":737,"links":{},"metadata":{"_buckets":{"deposit":"bc8754ce-1c87-462a-9531-9a45692e58b4"},"_deposit":{"created_by":15,"id":"737","owners":[15],"pid":{"revision_id":0,"type":"depid","value":"737"},"status":"published"},"_oai":{"id":"oai:air.repo.nii.ac.jp:00000737","sets":["590:629:630"]},"author_link":[],"item_10001_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2005-01-01","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"4","bibliographicPageEnd":"1045","bibliographicPageStart":"1035","bibliographicVolumeNumber":"133","bibliographic_titles":[{"bibliographic_title":"Proceedings of the American Mathematical Society","bibliographic_titleLang":"en"}]}]},"item_10001_description_5":{"attribute_name":"内容記述","attribute_value_mlt":[{"subitem_description":"In this paper we give estimations of the pointwise scaling exponents of selfsimilar functions on the n dimensional Euclidean space Rn. These estimations are derived by using a technique based on wavelet analysis. Examples of such selfsimilar functions include indefinite integrals of self-similar measures on R and they also include widely oscillatory functions( e.g. the Takagi function, the Weierstrass function and L`evy’s function). Pointwise scaling exponents provide an objective description of an irregularity of a function at a point. Our results are applied to compute the scaling exponents of several oscillatory functions.","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"item_10001_publisher_8":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"American Mathematical Society","subitem_publisher_language":"en"}]},"item_10001_relation_25":{"attribute_name":"関連情報","attribute_value_mlt":[{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"https://doi.org/10.1090/S0002-9939-04-07806-2","subitem_relation_type_select":"DOI"}}]},"item_10001_version_type_20":{"attribute_name":"出版タイプ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_ab4af688f83e57aa","subitem_version_type":"AM"}]},"item_1724099666130":{"attribute_name":"収録物識別子","attribute_value_mlt":[{"subitem_source_identifier":"1088-6826","subitem_source_identifier_type":"EISSN"},{"subitem_source_identifier":"AA11626767","subitem_source_identifier_type":"NCID"}]},"item_access_right":{"attribute_name":"アクセス権","attribute_value_mlt":[{"subitem_access_right":"open access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_abf2"}]},"item_creator":{"attribute_name":"作成者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Saka, Koichi","creatorNameLang":"en"}]},{"creatorNames":[{"creatorName":"坂, 光一","creatorNameLang":"ja"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2017-02-16"}],"displaytype":"detail","filename":"saka3.pdf","filesize":[{"value":"372.4 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"saka3.pdf","url":"https://air.repo.nii.ac.jp/record/737/files/saka3.pdf"},"version_id":"b8aed5cf-393c-4917-98e4-16ecafb6ab53"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Self-similar functions","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Scaling exponents","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Wavelet analysis.","subitem_subject_language":"en","subitem_subject_scheme":"Other"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Scaling Exponents of Self-Similar Functions and Wavelet Analysis","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Scaling Exponents of Self-Similar Functions and Wavelet Analysis","subitem_title_language":"en"}]},"item_type_id":"10001","owner":"15","path":["630"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2008-02-08"},"publish_date":"2008-02-08","publish_status":"0","recid":"737","relation_version_is_last":true,"title":["Scaling Exponents of Self-Similar Functions and Wavelet Analysis"],"weko_creator_id":"15","weko_shared_id":-1},"updated":"2024-08-25T18:12:01.573852+00:00"}