Publication Information

{'id': 'https://openalex.org/W881783402', 'doi': 'https://doi.org/10.1007/978-1-4612-0439-8_60', 'title': 'A Note on Hankel Operators for Infinite Dimensional Systems', 'display_name': 'A Note on Hankel Operators for Infinite Dimensional Systems', 'publication_year': 1991, 'publication_date': '1991-01-01', 'ids': {'openalex': 'https://openalex.org/W881783402', 'doi': 'https://doi.org/10.1007/978-1-4612-0439-8_60', 'mag': '881783402'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/978-1-4612-0439-8_60', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306462921', 'display_name': 'Birkhäuser Boston eBooks', 'issn_l': None, 'issn': None, 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': None, 'host_organization_name': None, 'host_organization_lineage': [], 'host_organization_lineage_names': [], 'type': 'ebook platform'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'book-chapter', 'type_crossref': 'book-chapter', 'indexed_in': ['crossref'], '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/A5011400180', 'display_name': 'Bert van Keulen', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I169381384', 'display_name': 'University of Groningen', 'ror': 'https://ror.org/012p63287', 'country_code': 'NL', 'type': 'education', 'lineage': ['https://openalex.org/I169381384']}], 'countries': ['NL'], 'is_corresponding': True, 'raw_author_name': 'Bert van Keulen', 'raw_affiliation_strings': ['Mathematics Institute, University of Groningen, Groningen, the Netherlands'], 'affiliations': [{'raw_affiliation_string': 'Mathematics Institute, University of Groningen, Groningen, the Netherlands', 'institution_ids': ['https://openalex.org/I169381384']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5011400180'], 'corresponding_institution_ids': ['https://openalex.org/I169381384'], 'apc_list': None, 'apc_paid': None, 'fwci': 1.13, 'has_fulltext': False, 'cited_by_count': 2, 'citation_normalized_percentile': {'value': 0.434593, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 61, 'max': 65}, 'biblio': {'volume': None, 'issue': None, 'first_page': '481', 'last_page': '488'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11205', 'display_name': 'Numerical methods in inverse problems', 'score': 0.9931, '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': 'Numerical methods in inverse problems', 'score': 0.9931, '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/T11210', 'display_name': 'Mathematical Analysis and Transform Methods', 'score': 0.9927, 'subfield': {'id': 'https://openalex.org/subfields/2604', 'display_name': 'Applied Mathematics'}, '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/T11022', 'display_name': 'Spectral Theory in Mathematical Physics', 'score': 0.9848, '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'}}], 'keywords': [{'id': 'https://openalex.org/keywords/hankel-transform', 'display_name': 'Hankel transform', 'score': 0.8954632}, {'id': 'https://openalex.org/keywords/operator', 'display_name': 'Operator (biology)', 'score': 0.70103276}, {'id': 'https://openalex.org/keywords/kernel', 'display_name': 'Kernel (algebra)', 'score': 0.6806734}, {'id': 'https://openalex.org/keywords/symbol', 'display_name': 'Symbol (formal)', 'score': 0.6274357}], 'concepts': [{'id': 'https://openalex.org/C57640460', 'wikidata': 'https://www.wikidata.org/wiki/Q155208', 'display_name': 'Hankel transform', 'level': 3, 'score': 0.8954632}, {'id': 'https://openalex.org/C25023664', 'wikidata': 'https://www.wikidata.org/wiki/Q1575637', 'display_name': 'Hankel matrix', 'level': 2, 'score': 0.8414695}, {'id': 'https://openalex.org/C17020691', 'wikidata': 'https://www.wikidata.org/wiki/Q139677', 'display_name': 'Operator (biology)', 'level': 5, 'score': 0.70103276}, {'id': 'https://openalex.org/C74193536', 'wikidata': 'https://www.wikidata.org/wiki/Q574844', 'display_name': 'Kernel (algebra)', 'level': 2, 'score': 0.6806734}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.64955604}, {'id': 'https://openalex.org/C134400042', 'wikidata': 'https://www.wikidata.org/wiki/Q2372244', 'display_name': 'Symbol (formal)', 'level': 2, 'score': 0.6274357}, {'id': 'https://openalex.org/C2777212361', 'wikidata': 'https://www.wikidata.org/wiki/Q5127848', 'display_name': 'Class (philosophy)', 'level': 2, 'score': 0.58393776}, {'id': 'https://openalex.org/C102519508', 'wikidata': 'https://www.wikidata.org/wiki/Q6520159', 'display_name': 'Fourier transform', 'level': 2, 'score': 0.46725604}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.41213176}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.398422}, {'id': 'https://openalex.org/C118615104', 'wikidata': 'https://www.wikidata.org/wiki/Q121416', 'display_name': 'Discrete mathematics', 'level': 1, 'score': 0.3226521}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.29683498}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.18438098}, {'id': 'https://openalex.org/C154945302', 'wikidata': 'https://www.wikidata.org/wiki/Q11660', 'display_name': 'Artificial intelligence', 'level': 1, 'score': 0.060006797}, {'id': 'https://openalex.org/C55493867', 'wikidata': 'https://www.wikidata.org/wiki/Q7094', 'display_name': 'Biochemistry', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C185592680', 'wikidata': 'https://www.wikidata.org/wiki/Q2329', 'display_name': 'Chemistry', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C158448853', 'wikidata': 'https://www.wikidata.org/wiki/Q425218', 'display_name': 'Repressor', 'level': 4, 'score': 0.0}, {'id': 'https://openalex.org/C86339819', 'wikidata': 'https://www.wikidata.org/wiki/Q407384', 'display_name': 'Transcription factor', 'level': 3, 'score': 0.0}, {'id': 'https://openalex.org/C104317684', 'wikidata': 'https://www.wikidata.org/wiki/Q7187', 'display_name': 'Gene', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C199360897', 'wikidata': 'https://www.wikidata.org/wiki/Q9143', 'display_name': 'Programming language', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/978-1-4612-0439-8_60', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306462921', 'display_name': 'Birkhäuser Boston eBooks', 'issn_l': None, 'issn': None, 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': None, 'host_organization_name': None, 'host_organization_lineage': [], 'host_organization_lineage_names': [], 'type': 'ebook platform'}, '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': 20, 'referenced_works': ['https://openalex.org/W138629962', 'https://openalex.org/W1480904389', 'https://openalex.org/W1500134124', 'https://openalex.org/W1522799773', 'https://openalex.org/W1565627164', 'https://openalex.org/W1574645681', 'https://openalex.org/W1575147392', 'https://openalex.org/W1926562321', 'https://openalex.org/W1966359610', 'https://openalex.org/W1999502813', 'https://openalex.org/W2053382522', 'https://openalex.org/W2119073925', 'https://openalex.org/W2123797071', 'https://openalex.org/W2573605850', 'https://openalex.org/W2640332517', 'https://openalex.org/W4212943826', 'https://openalex.org/W4231663855', 'https://openalex.org/W4236139467', 'https://openalex.org/W4299150230', 'https://openalex.org/W4379050997'], 'related_works': ['https://openalex.org/W881783402', 'https://openalex.org/W74469192', 'https://openalex.org/W3148685392', 'https://openalex.org/W2757898556', 'https://openalex.org/W2330799166', 'https://openalex.org/W2139768024', 'https://openalex.org/W2049807897', 'https://openalex.org/W2042737795', 'https://openalex.org/W2028837737', 'https://openalex.org/W1574625781'], 'abstract_inverted_index': {'We': [0], 'show': [1, 45], 'that': [2, 28, 53], 'under': [3], 'very': [4], 'mild': [5], 'conditions': [6], 'a': [7, 19, 37, 47, 62], 'class': [8, 57], 'of': [9, 32, 39, 58], 'integral': [10], 'operators': [11], 'with': [12], 'kernel': [13], 'f': [14, 60], 'in': [15], 'L': [16], '2(0,∞,)': [17], 'defines': [18], 'Hankel': [20, 41, 67], 'operator.': [21], 'However,': [22], 'this': [23], 'does': [24], 'not': [25, 71], 'automatically': [26], 'imply': [27], 'the': [29, 33, 40, 65], 'Fourier': [30], 'transform': [31], 'kernel,': [34], 'f,': [35], 'is': [36, 61, 70], 'symbol': [38], 'operator,': [42], 'as': [43], 'we': [44, 51], 'by': [46], 'counter': [48], 'example.': [49], 'Finally,': [50], 'prove': [52], 'for': [54], 'an': [55], 'important': [56], 'systems': [59], 'symbol,': [63], 'while': [64], 'known': [66], 'operator': [68], 'theory': [69], 'applicable.': [72]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W881783402', 'counts_by_year': [], 'updated_date': '2024-12-11T02:08:55.543683', 'created_date': '2016-06-24'}