Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2063094738', 'doi': 'https://doi.org/10.1006/aima.1995.1017', 'title': 'Foundations for the Theory of Quasiconformal Mappings on the Heisenberg Group', 'display_name': 'Foundations for the Theory of Quasiconformal Mappings on the Heisenberg Group', 'publication_year': 1995, 'publication_date': '1995-03-01', 'ids': {'openalex': 'https://openalex.org/W2063094738', 'doi': 'https://doi.org/10.1006/aima.1995.1017', 'mag': '2063094738'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1006/aima.1995.1017', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S122441808', 'display_name': 'Advances in Mathematics', 'issn_l': '0001-8708', 'issn': ['0001-8708', '1090-2082'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320990', 'host_organization_name': 'Elsevier BV', 'host_organization_lineage': ['https://openalex.org/P4310320990'], 'host_organization_lineage_names': ['Elsevier BV'], 'type': 'journal'}, 'license': 'publisher-specific-oa', 'license_id': 'https://openalex.org/licenses/publisher-specific-oa', 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': True, 'oa_status': 'bronze', 'oa_url': 'https://doi.org/10.1006/aima.1995.1017', 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5073619894', 'display_name': 'Adam Korányi', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I161301626', 'display_name': 'Lehman College', 'ror': 'https://ror.org/03m908832', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I161301626']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'A. Koranyi', 'raw_affiliation_strings': ['CUNY Herbert H Lehman Coll, Dept Math, Bedford Pk Blvd W, Bronx, NY 10468, USA and Univ Bern, Inst Math, CH 3012 Bern, Switzerland'], 'affiliations': [{'raw_affiliation_string': 'CUNY Herbert H Lehman Coll, Dept Math, Bedford Pk Blvd W, Bronx, NY 10468, USA and Univ Bern, Inst Math, CH 3012 Bern, Switzerland', 'institution_ids': ['https://openalex.org/I161301626']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5081323584', 'display_name': 'Hans Martin Reimann', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I161301626', 'display_name': 'Lehman College', 'ror': 'https://ror.org/03m908832', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I161301626']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'H.M. Reimann', 'raw_affiliation_strings': ['CUNY Herbert H Lehman Coll, Dept Math, Bedford Pk Blvd W, Bronx, NY 10468, USA and Univ Bern, Inst Math, CH 3012 Bern, Switzerland'], 'affiliations': [{'raw_affiliation_string': 'CUNY Herbert H Lehman Coll, Dept Math, Bedford Pk Blvd W, Bronx, NY 10468, USA and Univ Bern, Inst Math, CH 3012 Bern, Switzerland', 'institution_ids': ['https://openalex.org/I161301626']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': {'value': 3480, 'currency': 'USD', 'value_usd': 3480, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 16.672, 'has_fulltext': False, 'cited_by_count': 262, 'citation_normalized_percentile': {'value': 0.99958, 'is_in_top_1_percent': True, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 98, 'max': 99}, 'biblio': {'volume': '111', 'issue': '1', 'first_page': '1', 'last_page': '87'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10229', 'display_name': 'Optimal Transport in Geometry and Analysis', 'score': 0.9993, '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/T10229', 'display_name': 'Optimal Transport in Geometry and Analysis', 'score': 0.9993, '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/T11822', 'display_name': 'Geometric Function Theory and Complex Analysis', 'score': 0.9991, 'subfield': {'id': 'https://openalex.org/subfields/2608', 'display_name': 'Geometry and Topology'}, '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/T11680', 'display_name': 'Proofs of Langlands Conjectures for GL(n)', 'score': 0.9958, '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/heisenberg-group', 'display_name': 'Heisenberg group', 'score': 0.8625577}, {'id': 'https://openalex.org/keywords/quasiconformal-mappings', 'display_name': 'Quasiconformal Mappings', 'score': 0.822061}, {'id': 'https://openalex.org/keywords/conformal-mapping', 'display_name': 'Conformal Mapping', 'score': 0.638145}, {'id': 'https://openalex.org/keywords/harmonic-mappings', 'display_name': 'Harmonic Mappings', 'score': 0.619806}, {'id': 'https://openalex.org/keywords/automorphic-forms', 'display_name': 'Automorphic Forms', 'score': 0.584725}, {'id': 'https://openalex.org/keywords/geometric-function-theory', 'display_name': 'Geometric Function Theory', 'score': 0.57452}], 'concepts': [{'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.9142968}, {'id': 'https://openalex.org/C127519595', 'wikidata': 'https://www.wikidata.org/wiki/Q1601337', 'display_name': 'Heisenberg group', 'level': 2, 'score': 0.8625577}, {'id': 'https://openalex.org/C2781311116', 'wikidata': 'https://www.wikidata.org/wiki/Q83306', 'display_name': 'Group (periodic table)', 'level': 2, 'score': 0.61228}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.5005913}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.34572068}, {'id': 'https://openalex.org/C178790620', 'wikidata': 'https://www.wikidata.org/wiki/Q11351', 'display_name': 'Organic chemistry', '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}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': True, 'landing_page_url': 'https://doi.org/10.1006/aima.1995.1017', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S122441808', 'display_name': 'Advances in Mathematics', 'issn_l': '0001-8708', 'issn': ['0001-8708', '1090-2082'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320990', 'host_organization_name': 'Elsevier BV', 'host_organization_lineage': ['https://openalex.org/P4310320990'], 'host_organization_lineage_names': ['Elsevier BV'], 'type': 'journal'}, 'license': 'publisher-specific-oa', 'license_id': 'https://openalex.org/licenses/publisher-specific-oa', 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1006/aima.1995.1017', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S122441808', 'display_name': 'Advances in Mathematics', 'issn_l': '0001-8708', 'issn': ['0001-8708', '1090-2082'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320990', 'host_organization_name': 'Elsevier BV', 'host_organization_lineage': ['https://openalex.org/P4310320990'], 'host_organization_lineage_names': ['Elsevier BV'], 'type': 'journal'}, 'license': 'publisher-specific-oa', 'license_id': 'https://openalex.org/licenses/publisher-specific-oa', 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 7, 'referenced_works': ['https://openalex.org/W114925942', 'https://openalex.org/W1480611223', 'https://openalex.org/W2019661995', 'https://openalex.org/W2022757729', 'https://openalex.org/W2057838223', 'https://openalex.org/W2064374691', 'https://openalex.org/W2089465567'], 'related_works': ['https://openalex.org/W4245490552', 'https://openalex.org/W4225152035', 'https://openalex.org/W3002753104', 'https://openalex.org/W2911598644', 'https://openalex.org/W2142036596', 'https://openalex.org/W2077600819', 'https://openalex.org/W2061531152', 'https://openalex.org/W2007980826', 'https://openalex.org/W1979597421', 'https://openalex.org/W1587224694'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2063094738', 'counts_by_year': [{'year': 2024, 'cited_by_count': 6}, {'year': 2023, 'cited_by_count': 5}, {'year': 2022, 'cited_by_count': 2}, {'year': 2021, 'cited_by_count': 10}, {'year': 2020, 'cited_by_count': 11}, {'year': 2019, 'cited_by_count': 12}, {'year': 2018, 'cited_by_count': 10}, {'year': 2017, 'cited_by_count': 15}, {'year': 2016, 'cited_by_count': 9}, {'year': 2015, 'cited_by_count': 15}, {'year': 2014, 'cited_by_count': 9}, {'year': 2013, 'cited_by_count': 15}, {'year': 2012, 'cited_by_count': 12}], 'updated_date': '2024-09-15T04:49:22.160603', 'created_date': '2016-06-24'}