Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2063627560', 'doi': 'https://doi.org/10.1007/s00041-011-9180-7', 'title': 'Supports of Representations in the Cohen Class', 'display_name': 'Supports of Representations in the Cohen Class', 'publication_year': 2011, 'publication_date': '2011-05-03', 'ids': {'openalex': 'https://openalex.org/W2063627560', 'doi': 'https://doi.org/10.1007/s00041-011-9180-7', 'mag': '2063627560'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/s00041-011-9180-7', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S179905963', 'display_name': 'Journal of Fourier Analysis and Applications', 'issn_l': '1069-5869', 'issn': ['1069-5869', '1531-5851'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320186', 'host_organization_name': 'Birkhäuser', 'host_organization_lineage': ['https://openalex.org/P4310320186', 'https://openalex.org/P4310319900', 'https://openalex.org/P4310319965'], 'host_organization_lineage_names': ['Birkhäuser', 'Springer Science+Business Media', 'Springer Nature'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': True, 'oa_status': 'green', 'oa_url': 'https://iris.unito.it/bitstream/2318/94800/3/Supports_Cohen_4aperto.pdf', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5005133751', 'display_name': 'Paolo Boggiatto', 'orcid': 'https://orcid.org/0000-0002-6100-1053'}, 'institutions': [{'id': 'https://openalex.org/I55143463', 'display_name': 'University of Turin', 'ror': 'https://ror.org/048tbm396', 'country_code': 'IT', 'type': 'education', 'lineage': ['https://openalex.org/I55143463']}], 'countries': ['IT'], 'is_corresponding': False, 'raw_author_name': 'Paolo Boggiatto', 'raw_affiliation_strings': ['Univ. of Torino'], 'affiliations': [{'raw_affiliation_string': 'Univ. of Torino', 'institution_ids': ['https://openalex.org/I55143463']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5041071587', 'display_name': 'Carmen Fernández', 'orcid': 'https://orcid.org/0000-0002-2272-8006'}, 'institutions': [{'id': 'https://openalex.org/I16097986', 'display_name': 'Universitat de València', 'ror': 'https://ror.org/043nxc105', 'country_code': 'ES', 'type': 'education', 'lineage': ['https://openalex.org/I16097986']}], 'countries': ['ES'], 'is_corresponding': False, 'raw_author_name': 'Carmen Fernández', 'raw_affiliation_strings': ['Universidad de Valência'], 'affiliations': [{'raw_affiliation_string': 'Universidad de Valência', 'institution_ids': ['https://openalex.org/I16097986']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5030898191', 'display_name': 'Antonio Galbis', 'orcid': 'https://orcid.org/0000-0002-7704-2749'}, 'institutions': [{'id': 'https://openalex.org/I16097986', 'display_name': 'Universitat de València', 'ror': 'https://ror.org/043nxc105', 'country_code': 'ES', 'type': 'education', 'lineage': ['https://openalex.org/I16097986']}], 'countries': ['ES'], 'is_corresponding': False, 'raw_author_name': 'Antonio Galbis', 'raw_affiliation_strings': ['Universidad de Valência'], 'affiliations': [{'raw_affiliation_string': 'Universidad de Valência', 'institution_ids': ['https://openalex.org/I16097986']}]}], 'countries_distinct_count': 2, 'institutions_distinct_count': 2, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': {'value': 2190, 'currency': 'EUR', 'value_usd': 2790, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 0.406, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 6, 'citation_normalized_percentile': {'value': 0.70775, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 82, 'max': 83}, 'biblio': {'volume': '17', 'issue': '6', 'first_page': '1180', 'last_page': '1197'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11210', 'display_name': 'Fractional Fourier Transform Analysis', 'score': 0.9997, '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'}}, 'topics': [{'id': 'https://openalex.org/T11210', 'display_name': 'Fractional Fourier Transform Analysis', 'score': 0.9997, '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/T10688', 'display_name': 'Image Denoising Techniques and Algorithms', 'score': 0.9939, 'subfield': {'id': 'https://openalex.org/subfields/1707', 'display_name': 'Computer Vision and Pattern Recognition'}, 'field': {'id': 'https://openalex.org/fields/17', 'display_name': 'Computer Science'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T10271', 'display_name': 'Seismic Waveform Inversion in Geophysics', 'score': 0.9703, 'subfield': {'id': 'https://openalex.org/subfields/1908', 'display_name': 'Geophysics'}, 'field': {'id': 'https://openalex.org/fields/19', 'display_name': 'Earth and Planetary Sciences'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/operator', 'display_name': 'Operator (biology)', 'score': 0.57163113}, {'id': 'https://openalex.org/keywords/uncertainty-principles', 'display_name': 'Uncertainty Principles', 'score': 0.500813}], 'concepts': [{'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.7924458}, {'id': 'https://openalex.org/C2777212361', 'wikidata': 'https://www.wikidata.org/wiki/Q5127848', 'display_name': 'Class (philosophy)', 'level': 2, 'score': 0.73525274}, {'id': 'https://openalex.org/C189950617', 'wikidata': 'https://www.wikidata.org/wiki/Q937228', 'display_name': 'Property (philosophy)', 'level': 2, 'score': 0.6117343}, {'id': 'https://openalex.org/C17020691', 'wikidata': 'https://www.wikidata.org/wiki/Q139677', 'display_name': 'Operator (biology)', 'level': 5, 'score': 0.57163113}, {'id': 'https://openalex.org/C93779851', 'wikidata': 'https://www.wikidata.org/wiki/Q271977', 'display_name': 'Partial differential equation', 'level': 2, 'score': 0.5493686}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.54820186}, {'id': 'https://openalex.org/C14036430', 'wikidata': 'https://www.wikidata.org/wiki/Q3736076', 'display_name': 'Function (biology)', 'level': 2, 'score': 0.5163873}, {'id': 'https://openalex.org/C70915906', 'wikidata': 'https://www.wikidata.org/wiki/Q1058681', 'display_name': 'Differential operator', 'level': 2, 'score': 0.44530362}, {'id': 'https://openalex.org/C203024314', 'wikidata': 'https://www.wikidata.org/wiki/Q1365258', 'display_name': 'Fourier analysis', 'level': 3, 'score': 0.4230027}, {'id': 'https://openalex.org/C102519508', 'wikidata': 'https://www.wikidata.org/wiki/Q6520159', 'display_name': 'Fourier transform', 'level': 2, 'score': 0.39181197}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.38007}, {'id': 'https://openalex.org/C28826006', 'wikidata': 'https://www.wikidata.org/wiki/Q33521', 'display_name': 'Applied mathematics', 'level': 1, 'score': 0.33332008}, {'id': 'https://openalex.org/C2777686260', 'wikidata': 'https://www.wikidata.org/wiki/Q144037', 'display_name': 'Calculus (dental)', 'level': 2, 'score': 0.3227713}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.30554253}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.08758178}, {'id': 'https://openalex.org/C154945302', 'wikidata': 'https://www.wikidata.org/wiki/Q11660', 'display_name': 'Artificial intelligence', 'level': 1, 'score': 0.06339803}, {'id': 'https://openalex.org/C138885662', 'wikidata': 'https://www.wikidata.org/wiki/Q5891', 'display_name': 'Philosophy', 'level': 0, 'score': 0.0}, {'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/C111472728', 'wikidata': 'https://www.wikidata.org/wiki/Q9471', 'display_name': 'Epistemology', 'level': 1, '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/C78458016', 'wikidata': 'https://www.wikidata.org/wiki/Q840400', 'display_name': 'Evolutionary biology', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C86803240', 'wikidata': 'https://www.wikidata.org/wiki/Q420', 'display_name': 'Biology', 'level': 0, '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/C71924100', 'wikidata': 'https://www.wikidata.org/wiki/Q11190', 'display_name': 'Medicine', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C199343813', 'wikidata': 'https://www.wikidata.org/wiki/Q12128', 'display_name': 'Dentistry', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 2, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/s00041-011-9180-7', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S179905963', 'display_name': 'Journal of Fourier Analysis and Applications', 'issn_l': '1069-5869', 'issn': ['1069-5869', '1531-5851'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320186', 'host_organization_name': 'Birkhäuser', 'host_organization_lineage': ['https://openalex.org/P4310320186', 'https://openalex.org/P4310319900', 'https://openalex.org/P4310319965'], 'host_organization_lineage_names': ['Birkhäuser', 'Springer Science+Business Media', 'Springer Nature'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'http://hdl.handle.net/2318/94800', 'pdf_url': 'https://iris.unito.it/bitstream/2318/94800/3/Supports_Cohen_4aperto.pdf', 'source': {'id': 'https://openalex.org/S4306400637', 'display_name': 'Institutional Research Information System University of Turin (University of Turin)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I55143463', 'host_organization_name': 'University of Turin', 'host_organization_lineage': ['https://openalex.org/I55143463'], 'host_organization_lineage_names': ['University of Turin'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'http://hdl.handle.net/2318/94800', 'pdf_url': 'https://iris.unito.it/bitstream/2318/94800/3/Supports_Cohen_4aperto.pdf', 'source': {'id': 'https://openalex.org/S4306400637', 'display_name': 'Institutional Research Information System University of Turin (University of Turin)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I55143463', 'host_organization_name': 'University of Turin', 'host_organization_lineage': ['https://openalex.org/I55143463'], 'host_organization_lineage_names': ['University of Turin'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 40, 'referenced_works': ['https://openalex.org/W13952258', 'https://openalex.org/W1490039160', 'https://openalex.org/W1490262966', 'https://openalex.org/W1501436306', 'https://openalex.org/W1532154335', 'https://openalex.org/W1535448269', 'https://openalex.org/W1540720543', 'https://openalex.org/W1605417594', 'https://openalex.org/W1964668039', 'https://openalex.org/W1990044269', 'https://openalex.org/W1996887413', 'https://openalex.org/W2005899053', 'https://openalex.org/W2015064056', 'https://openalex.org/W2016570961', 'https://openalex.org/W2021639831', 'https://openalex.org/W2031109729', 'https://openalex.org/W2048508162', 'https://openalex.org/W2085139212', 'https://openalex.org/W2096979510', 'https://openalex.org/W2097208032', 'https://openalex.org/W2098894482', 'https://openalex.org/W2115659574', 'https://openalex.org/W2118350828', 'https://openalex.org/W2125676599', 'https://openalex.org/W2126681305', 'https://openalex.org/W2129653748', 'https://openalex.org/W2153539499', 'https://openalex.org/W2157937904', 'https://openalex.org/W2165878107', 'https://openalex.org/W2168877948', 'https://openalex.org/W2482762127', 'https://openalex.org/W2517666786', 'https://openalex.org/W3038830718', 'https://openalex.org/W3151807103', 'https://openalex.org/W37176611', 'https://openalex.org/W4253588118', 'https://openalex.org/W4285719527', 'https://openalex.org/W590134283', 'https://openalex.org/W612406868', 'https://openalex.org/W78047391'], 'related_works': ['https://openalex.org/W4234504634', 'https://openalex.org/W2768366820', 'https://openalex.org/W2066908446', 'https://openalex.org/W2064118903', 'https://openalex.org/W2041998205', 'https://openalex.org/W2034082304', 'https://openalex.org/W2015885629', 'https://openalex.org/W1984031140', 'https://openalex.org/W1968864649', 'https://openalex.org/W1964268922'], 'abstract_inverted_index': {'In': [0, 23], 'this': [1], 'paper': [2], 'we': [3, 25, 52], 'consider': [4], 'a': [5, 55, 66, 75], 'version': [6], 'of': [7, 16, 29, 38, 49, 65], 'the': [8, 14, 20, 32, 35, 62, 70], 'uncertainty': [9], 'principle': [10], 'concerning': [11], 'limitations': [12], 'on': [13], 'supports': [15], 'time-frequency': [17], 'representations': [18, 37], 'in': [19, 69], 'Cohen': [21], 'class.': [22], 'particular': [24], 'obtain': [26], 'various': [27], 'classes': [28], 'kernels': [30], 'with': [31], 'property': [33], 'that': [34, 54], 'corresponding': [36], 'non': [39], 'trivial': [40], 'signals': [41], 'cannot': [42, 73], 'be': [43], 'compactly': [44, 76], 'supported.': [45], 'As': [46], 'an': [47], 'application': [48], 'our': [50], 'results': [51], 'show': [53], 'linear': [56], 'partial': [57], 'differential': [58], 'operator': [59], 'applied': [60], 'to': [61], 'Wigner': [63], 'distribution': [64], 'function': [67], 'f≠0': [68], 'Schwartz': [71], 'class': [72], 'produce': [74], 'supported': [77], 'function.': [78]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2063627560', 'counts_by_year': [{'year': 2024, 'cited_by_count': 1}, {'year': 2018, 'cited_by_count': 2}, {'year': 2016, 'cited_by_count': 1}, {'year': 2015, 'cited_by_count': 1}, {'year': 2012, 'cited_by_count': 1}], 'updated_date': '2024-08-15T07:54:18.783032', 'created_date': '2016-06-24'}