{"id":"https://openalex.org/W2982297661","doi":"https://doi.org/10.1137/20m1311508","title":"Functional Relations, Sharp Mapping Properties, and Regularization of the X-Ray Transform on Disks of Constant Curvature","display_name":"Functional Relations, Sharp Mapping Properties, and Regularization of the X-Ray Transform on Disks of Constant Curvature","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W2982297661","doi":"https://doi.org/10.1137/20m1311508","mag":"2982297661"},"language":"en","primary_location":{"id":"doi:10.1137/20m1311508","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1311508","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1910.13691","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024080388","display_name":"Fran\u00e7ois Monard","orcid":"https://orcid.org/0000-0003-2913-7644"},"institutions":[{"id":"https://openalex.org/I185103710","display_name":"University of California, Santa Cruz","ror":"https://ror.org/03s65by71","country_code":"US","type":"education","lineage":["https://openalex.org/I185103710"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Fran\u00e7ois Monard","raw_affiliation_strings":["UNIVERSITY OF CALIFORNIA (SANTA CRUZ)"],"affiliations":[{"raw_affiliation_string":"UNIVERSITY OF CALIFORNIA (SANTA CRUZ)","institution_ids":["https://openalex.org/I185103710"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5024080388"],"corresponding_institution_ids":["https://openalex.org/I185103710"],"apc_list":null,"apc_paid":null,"fwci":0.2924,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.433926,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"52","issue":"6","first_page":"5675","last_page":"5702"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9980000257492065,"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":"Mathematical Analysis and Transform Methods","score":0.9980000257492065,"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9944000244140625,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9919000267982483,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/geodesic","display_name":"Geodesic","score":0.811132550239563},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.6059912443161011},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5842243432998657},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5821129083633423},{"id":"https://openalex.org/keywords/constant-curvature","display_name":"Constant curvature","score":0.5689734816551208},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.5461221933364868},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5459871888160706},{"id":"https://openalex.org/keywords/differential-operator","display_name":"Differential operator","score":0.4334699213504791},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.35728827118873596},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.22680720686912537},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07701700925827026}],"concepts":[{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.811132550239563},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.6059912443161011},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5842243432998657},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5821129083633423},{"id":"https://openalex.org/C2779668893","wikidata":"https://www.wikidata.org/wiki/Q2250422","display_name":"Constant curvature","level":3,"score":0.5689734816551208},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.5461221933364868},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5459871888160706},{"id":"https://openalex.org/C70915906","wikidata":"https://www.wikidata.org/wiki/Q1058681","display_name":"Differential operator","level":2,"score":0.4334699213504791},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.35728827118873596},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.22680720686912537},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07701700925827026},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/20m1311508","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1311508","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1910.13691","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1910.13691","pdf_url":"https://arxiv.org/pdf/1910.13691","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2982297661","is_oa":true,"landing_page_url":"http://arxiv.org/pdf/1910.13691.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1910.13691","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1910.13691","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1910.13691","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1910.13691","pdf_url":"https://arxiv.org/pdf/1910.13691","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1211463696","display_name":null,"funder_award_id":"144014","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G202495085","display_name":null,"funder_award_id":"1440140","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"},{"id":"https://openalex.org/G3775706390","display_name":"Explicit Methods for Linear and Non-Linear Tomography","funder_award_id":"1814104","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4402292705","display_name":null,"funder_award_id":"DMS-1440140","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5892495829","display_name":null,"funder_award_id":"DMS-1814104","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5969482202","display_name":null,"funder_award_id":"DMS-1440140","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"},{"id":"https://openalex.org/G811546825","display_name":null,"funder_award_id":"1440140","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2982297661.pdf","grobid_xml":"https://content.openalex.org/works/W2982297661.grobid-xml"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W45880423","https://openalex.org/W330923118","https://openalex.org/W610795086","https://openalex.org/W938502674","https://openalex.org/W1781889465","https://openalex.org/W1963604045","https://openalex.org/W1979054340","https://openalex.org/W1999698361","https://openalex.org/W2003496107","https://openalex.org/W2012853725","https://openalex.org/W2016713499","https://openalex.org/W2036439584","https://openalex.org/W2038753442","https://openalex.org/W2040607427","https://openalex.org/W2042276080","https://openalex.org/W2045444089","https://openalex.org/W2058583833","https://openalex.org/W2071149174","https://openalex.org/W2075236970","https://openalex.org/W2078183302","https://openalex.org/W2104912029","https://openalex.org/W2141955292","https://openalex.org/W2244771931","https://openalex.org/W2280758432","https://openalex.org/W2314429677","https://openalex.org/W2565137333","https://openalex.org/W2805433455","https://openalex.org/W2808589828","https://openalex.org/W2887530441","https://openalex.org/W2940933643","https://openalex.org/W2962837846","https://openalex.org/W2962957435","https://openalex.org/W2963592573","https://openalex.org/W2964234824","https://openalex.org/W2964339643","https://openalex.org/W3038165843","https://openalex.org/W3106140747","https://openalex.org/W4236448387","https://openalex.org/W4244050737"],"related_works":["https://openalex.org/W3106274132","https://openalex.org/W1580413560","https://openalex.org/W3206217784","https://openalex.org/W2976731491","https://openalex.org/W3018620080","https://openalex.org/W1988029467","https://openalex.org/W330923118","https://openalex.org/W2107488863","https://openalex.org/W2963587538","https://openalex.org/W3157099481","https://openalex.org/W2906759812","https://openalex.org/W1574468672","https://openalex.org/W3102484016","https://openalex.org/W2261409577","https://openalex.org/W1878623899","https://openalex.org/W3010129672","https://openalex.org/W2949934726","https://openalex.org/W1661363091","https://openalex.org/W3126633509","https://openalex.org/W3107201382"],"abstract_inverted_index":{"On":[0],"simple":[1],"geodesic":[2,14],"disks":[3],"of":[4,21,56],"constant":[5],"curvature,":[6],"we":[7,52],"derive":[8,38],"new":[9],"functional":[10],"relations":[11,36],"for":[12,42,61],"the":[13,30,43,54,62],"X-ray":[15,44,63],"transform,":[16],"involving":[17],"a":[18],"certain":[19],"class":[20],"elliptic":[22],"differential":[23],"operators":[24],"whose":[25],"ellipticity":[26],"degenerates":[27],"normally":[28],"at":[29],"boundary.":[31],"We":[32],"then":[33],"use":[34],"these":[35],"to":[37],"sharp":[39],"mapping":[40],"properties":[41],"transform":[45,64],"and":[46],"its":[47],"corresponding":[48],"normal":[49],"operator.":[50],"Finally,":[51],"discuss":[53],"possibility":[55],"theoretically":[57],"rigorous":[58],"regularized":[59],"inversions":[60],"when":[65],"defined":[66],"on":[67],"such":[68],"manifolds.":[69]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
