Publication Information

{'id': 'https://openalex.org/W1597278628', 'doi': 'https://doi.org/10.1017/cbo9780511611582', 'title': 'Clifford Algebras and Dirac Operators in Harmonic Analysis', 'display_name': 'Clifford Algebras and Dirac Operators in Harmonic Analysis', 'publication_year': 1991, 'publication_date': '1991-07-26', 'ids': {'openalex': 'https://openalex.org/W1597278628', 'doi': 'https://doi.org/10.1017/cbo9780511611582', 'mag': '1597278628'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1017/cbo9780511611582', 'pdf_url': None, 'source': None, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'book', 'type_crossref': 'monograph', '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/A5055129973', 'display_name': 'J. Gilbert', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I86519309', 'display_name': 'The University of Texas at Austin', 'ror': 'https://ror.org/00hj54h04', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I86519309']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'J. Gilbert', 'raw_affiliation_strings': ['University of Texas @ Austin'], 'affiliations': [{'raw_affiliation_string': 'University of Texas @ Austin', 'institution_ids': ['https://openalex.org/I86519309']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5004765678', 'display_name': 'M. Murray', 'orcid': 'https://orcid.org/0000-0001-7219-4818'}, 'institutions': [{'id': 'https://openalex.org/I859038795', 'display_name': 'Virginia Tech', 'ror': 'https://ror.org/02smfhw86', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I859038795']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'M. Murray', 'raw_affiliation_strings': ['Virginia Polytechnic Institute And State University'], 'affiliations': [{'raw_affiliation_string': 'Virginia Polytechnic Institute And State University', 'institution_ids': ['https://openalex.org/I859038795']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 2, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 1.96, 'has_fulltext': False, 'cited_by_count': 645, 'citation_normalized_percentile': {'value': 0.96875, 'is_in_top_1_percent': False, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 99, 'max': 100}, 'biblio': {'volume': None, 'issue': None, 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T12037', 'display_name': 'Algebraic and Geometric Analysis', 'score': 0.9975, '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/T12037', 'display_name': 'Algebraic and Geometric Analysis', 'score': 0.9975, '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/T11680', 'display_name': 'Advanced Algebra and Geometry', 'score': 0.9835, '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/T10899', 'display_name': 'Advanced Operator Algebra Research', 'score': 0.9547, '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/clifford-analysis', 'display_name': 'Clifford Analysis', 'score': 0.81718016}, {'id': 'https://openalex.org/keywords/representation', 'display_name': 'Representation', 'score': 0.5127943}, {'id': 'https://openalex.org/keywords/presentation', 'display_name': 'Presentation (obstetrics)', 'score': 0.50257754}, {'id': 'https://openalex.org/keywords/harmonic-analysis', 'display_name': 'Harmonic Analysis', 'score': 0.4909785}, {'id': 'https://openalex.org/keywords/harmonic', 'display_name': 'Harmonic', 'score': 0.45281097}], 'concepts': [{'id': 'https://openalex.org/C177547823', 'wikidata': 'https://www.wikidata.org/wiki/Q5133083', 'display_name': 'Clifford analysis', 'level': 3, 'score': 0.81718016}, {'id': 'https://openalex.org/C197273675', 'wikidata': 'https://www.wikidata.org/wiki/Q13220368', 'display_name': 'Representation theory', 'level': 2, 'score': 0.68206024}, {'id': 'https://openalex.org/C100856211', 'wikidata': 'https://www.wikidata.org/wiki/Q674689', 'display_name': 'Clifford algebra', 'level': 3, 'score': 0.6665379}, {'id': 'https://openalex.org/C129782007', 'wikidata': 'https://www.wikidata.org/wiki/Q162886', 'display_name': 'Euclidean geometry', 'level': 2, 'score': 0.64360017}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.6208508}, {'id': 'https://openalex.org/C2780586882', 'wikidata': 'https://www.wikidata.org/wiki/Q7520643', 'display_name': 'Simple (philosophy)', 'level': 2, 'score': 0.6202216}, {'id': 'https://openalex.org/C2776359362', 'wikidata': 'https://www.wikidata.org/wiki/Q2145286', 'display_name': 'Representation (politics)', 'level': 3, 'score': 0.5127943}, {'id': 'https://openalex.org/C2777601897', 'wikidata': 'https://www.wikidata.org/wiki/Q3409113', 'display_name': 'Presentation (obstetrics)', 'level': 2, 'score': 0.50257754}, {'id': 'https://openalex.org/C131770355', 'wikidata': 'https://www.wikidata.org/wiki/Q876215', 'display_name': 'Harmonic analysis', 'level': 2, 'score': 0.4909785}, {'id': 'https://openalex.org/C180671464', 'wikidata': 'https://www.wikidata.org/wiki/Q1186649', 'display_name': 'Geometric algebra', 'level': 4, 'score': 0.48868564}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.48534122}, {'id': 'https://openalex.org/C61039578', 'wikidata': 'https://www.wikidata.org/wiki/Q604279', 'display_name': 'Dirac (video compression format)', 'level': 3, 'score': 0.47738403}, {'id': 'https://openalex.org/C127934551', 'wikidata': 'https://www.wikidata.org/wiki/Q1148098', 'display_name': 'Harmonic', 'level': 2, 'score': 0.45281097}, {'id': 'https://openalex.org/C51568863', 'wikidata': 'https://www.wikidata.org/wiki/Q664495', 'display_name': 'Lie algebra', 'level': 2, 'score': 0.4112067}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.4039287}, {'id': 'https://openalex.org/C158650840', 'wikidata': 'https://www.wikidata.org/wiki/Q907439', 'display_name': 'Dirac operator', 'level': 2, 'score': 0.22179201}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.1704948}, {'id': 'https://openalex.org/C62520636', 'wikidata': 'https://www.wikidata.org/wiki/Q944', 'display_name': 'Quantum mechanics', 'level': 1, 'score': 0.14354384}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.1396201}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.12608802}, {'id': 'https://openalex.org/C111472728', 'wikidata': 'https://www.wikidata.org/wiki/Q9471', 'display_name': 'Epistemology', 'level': 1, 'score': 0.11591527}, {'id': 'https://openalex.org/C186453547', 'wikidata': 'https://www.wikidata.org/wiki/Q2126', 'display_name': 'Neutrino', '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/C138885662', 'wikidata': 'https://www.wikidata.org/wiki/Q5891', 'display_name': 'Philosophy', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C94625758', 'wikidata': 'https://www.wikidata.org/wiki/Q7163', 'display_name': 'Politics', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C17744445', 'wikidata': 'https://www.wikidata.org/wiki/Q36442', 'display_name': 'Political science', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C199539241', 'wikidata': 'https://www.wikidata.org/wiki/Q7748', 'display_name': 'Law', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C126838900', 'wikidata': 'https://www.wikidata.org/wiki/Q77604', 'display_name': 'Radiology', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1017/cbo9780511611582', '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/W634347039', 'https://openalex.org/W565312078', 'https://openalex.org/W4301001013', 'https://openalex.org/W2963598596', 'https://openalex.org/W2511784573', 'https://openalex.org/W2504261970', 'https://openalex.org/W2361911558', 'https://openalex.org/W21525990', 'https://openalex.org/W2030476573', 'https://openalex.org/W1637965853'], 'abstract_inverted_index': {'The': [0, 21], 'aim': [1], 'of': [2, 12, 48, 60, 88], 'this': [3], 'book': [4, 71], 'is': [5], 'to': [6, 75], 'unite': [7], 'the': [8, 49, 57, 66, 70, 79, 86], 'seemingly': [9], 'disparate': [10], 'topics': [11], 'Clifford': [13], 'algebras,': [14], 'analysis': [15, 39], 'on': [16], 'manifolds': [17], 'and': [18, 27, 90], 'harmonic': [19], 'analysis.': [20], 'authors': [22], 'show': [23], 'how': [24], 'algebra,': [25], 'geometry': [26], 'differential': [28], 'equations': [29], 'all': [30], 'play': [31], 'a': [32], 'more': [33, 80], 'fundamental': [34], 'role': [35], 'in': [36], 'Euclidean': [37, 50], 'Fourier': [38], 'than': [40], 'has': [41], 'been': [42], 'fully': [43], 'realized': [44], 'before.': [45], 'Their': [46], 'presentation': [47], 'theory': [51, 59], 'then': [52], 'links': [53], 'up': [54], 'naturally': [55], 'with': [56], 'representation': [58], 'semi-simple': [61], 'Lie': [62], 'groups.': [63], 'By': [64], 'keeping': [65], 'treatment': [67], 'relatively': [68], 'simple,': [69], 'will': [72, 83], 'be': [73], 'accessible': [74], 'graduate': [76], 'students,': [77], 'yet': [78], 'advanced': [81], 'reader': [82], 'also': [84], 'appreciate': [85], 'wealth': [87], 'results': [89], 'insights': [91], 'made': [92], 'available': [93], 'here.': [94]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W1597278628', 'counts_by_year': [{'year': 2024, 'cited_by_count': 18}, {'year': 2023, 'cited_by_count': 18}, {'year': 2022, 'cited_by_count': 21}, {'year': 2021, 'cited_by_count': 22}, {'year': 2020, 'cited_by_count': 21}, {'year': 2019, 'cited_by_count': 17}, {'year': 2018, 'cited_by_count': 21}, {'year': 2017, 'cited_by_count': 18}, {'year': 2016, 'cited_by_count': 40}, {'year': 2015, 'cited_by_count': 25}, {'year': 2014, 'cited_by_count': 35}, {'year': 2013, 'cited_by_count': 24}, {'year': 2012, 'cited_by_count': 34}], 'updated_date': '2024-12-17T18:57:22.649836', 'created_date': '2016-06-24'}