Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2596838481', 'doi': None, 'title': 'Applications of reproducing kernels in Hilbert spaces', 'display_name': 'Applications of reproducing kernels in Hilbert spaces', 'publication_year': 1972, 'publication_date': '1972-05-01', 'ids': {'openalex': 'https://openalex.org/W2596838481', 'mag': '2596838481'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://smartech.gatech.edu/bitstream/1853/28742/3/mumford_michael_l_197205_ms_236304.pdf', 'pdf_url': None, 'source': None, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'dissertation', 'type_crossref': 'dissertation', 'indexed_in': [], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5028468307', 'display_name': 'Michael Leslie Mumford', 'orcid': None}, 'institutions': [], 'countries': [], 'is_corresponding': True, 'raw_author_name': 'Michael Leslie Mumford', 'raw_affiliation_strings': [], 'affiliations': []}], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': ['https://openalex.org/A5028468307'], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': None, 'has_fulltext': False, 'cited_by_count': 0, 'citation_normalized_percentile': {'value': 0.0, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 0, 'max': 58}, 'biblio': {'volume': None, 'issue': None, 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11205', 'display_name': 'Inverse Problems in Mathematical Physics and Imaging', 'score': 0.8791, 'subfield': {'id': 'https://openalex.org/subfields/2610', 'display_name': 'Mathematical Physics'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T11205', 'display_name': 'Inverse Problems in Mathematical Physics and Imaging', 'score': 0.8791, 'subfield': {'id': 'https://openalex.org/subfields/2610', 'display_name': 'Mathematical Physics'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T11245', 'display_name': 'Isogeometric Analysis in Computational Engineering', 'score': 0.7727, 'subfield': {'id': 'https://openalex.org/subfields/2206', 'display_name': 'Computational Mechanics'}, 'field': {'id': 'https://openalex.org/fields/22', 'display_name': 'Engineering'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T12100', 'display_name': 'Multiscale Methods for Heterogeneous Systems', 'score': 0.7152, 'subfield': {'id': 'https://openalex.org/subfields/1703', 'display_name': 'Computational Theory and Mathematics'}, 'field': {'id': 'https://openalex.org/fields/17', 'display_name': 'Computer Science'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/microscopic-simulators', 'display_name': 'Microscopic Simulators', 'score': 0.582568}, {'id': 'https://openalex.org/keywords/coarse-grained-computation', 'display_name': 'Coarse-Grained Computation', 'score': 0.576087}, {'id': 'https://openalex.org/keywords/inverse-problems', 'display_name': 'Inverse Problems', 'score': 0.547389}, {'id': 'https://openalex.org/keywords/mesh-refinement', 'display_name': 'Mesh Refinement', 'score': 0.535092}, {'id': 'https://openalex.org/keywords/shape-optimization', 'display_name': 'Shape Optimization', 'score': 0.534198}, {'id': 'https://openalex.org/keywords/representer-theorem', 'display_name': 'Representer theorem', 'score': 0.41012144}], 'concepts': [{'id': 'https://openalex.org/C80884492', 'wikidata': 'https://www.wikidata.org/wiki/Q3345678', 'display_name': 'Reproducing kernel Hilbert space', 'level': 3, 'score': 0.5641512}, {'id': 'https://openalex.org/C62799726', 'wikidata': 'https://www.wikidata.org/wiki/Q190056', 'display_name': 'Hilbert space', 'level': 2, 'score': 0.5082709}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.50739974}, {'id': 'https://openalex.org/C172623408', 'wikidata': 'https://www.wikidata.org/wiki/Q7314263', 'display_name': 'Representer theorem', 'level': 5, 'score': 0.41012144}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.35750902}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.3297135}, {'id': 'https://openalex.org/C154945302', 'wikidata': 'https://www.wikidata.org/wiki/Q11660', 'display_name': 'Artificial intelligence', 'level': 1, 'score': 0.1685015}, {'id': 'https://openalex.org/C182335926', 'wikidata': 'https://www.wikidata.org/wiki/Q17093020', 'display_name': 'Kernel principal component analysis', 'level': 4, 'score': 0.07890168}, {'id': 'https://openalex.org/C122280245', 'wikidata': 'https://www.wikidata.org/wiki/Q620622', 'display_name': 'Kernel method', 'level': 3, 'score': 0.0}, {'id': 'https://openalex.org/C12267149', 'wikidata': 'https://www.wikidata.org/wiki/Q282453', 'display_name': 'Support vector machine', 'level': 2, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://smartech.gatech.edu/bitstream/1853/28742/3/mumford_michael_l_197205_ms_236304.pdf', 'pdf_url': None, 'source': None, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 0, 'referenced_works': [], 'related_works': ['https://openalex.org/W49744775', 'https://openalex.org/W3081817585', 'https://openalex.org/W3020669664', 'https://openalex.org/W3009871337', 'https://openalex.org/W2982047942', 'https://openalex.org/W2979271698', 'https://openalex.org/W2783666079', 'https://openalex.org/W276754790', 'https://openalex.org/W2559482154', 'https://openalex.org/W2522367438', 'https://openalex.org/W2489970207', 'https://openalex.org/W2487688705', 'https://openalex.org/W2476658694', 'https://openalex.org/W2230774385', 'https://openalex.org/W2090793722', 'https://openalex.org/W1970247696', 'https://openalex.org/W1896054239', 'https://openalex.org/W177956476', 'https://openalex.org/W1530021157', 'https://openalex.org/W1190310966'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2596838481', 'counts_by_year': [], 'updated_date': '2024-08-20T21:50:54.662245', 'created_date': '2017-03-23'}