{"id":"https://openalex.org/W69450277","doi":"https://doi.org/10.1007/bfb0065012","title":"Superposition principles and pointwise evaluation of Sturm-Liouville eigenfunction expansions","display_name":"Superposition principles and pointwise evaluation of Sturm-Liouville eigenfunction expansions","publication_year":1982,"publication_date":"1982-01-01","ids":{"openalex":"https://openalex.org/W69450277","doi":"https://doi.org/10.1007/bfb0065012","mag":"69450277"},"language":"en","primary_location":{"id":"doi:10.1007/bfb0065012","doi":"https://doi.org/10.1007/bfb0065012","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0065012","pdf_url":null,"source":{"id":"https://openalex.org/S118039931","display_name":"Lecture notes in mathematics","issn_l":"0075-8434","issn":["0075-8434","1617-9692"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Mathematics","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W3214845807","display_name":"Ordinary and Partial Differential Equations"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070448763","display_name":"Mark Kon","orcid":"https://orcid.org/0000-0001-5902-9412","observed_orcids":["https://orcid.org/0000-0001-5902-9412"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mark A. Kon","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5017738000","display_name":"Louise Arakelian Raphael","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Louise A. Raphael","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.05683192,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"406","last_page":"415"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.9980000257492065,"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.9980000257492065,"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":0.000699999975040555,"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.0003000000142492354,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/sturm-liouville-problems","display_name":"Sturm-Liouville problems","score":0.9089999794960022},{"id":"https://openalex.org/keywords/eigenfunction-expansion","display_name":"eigenfunction expansion","score":0.9929999709129333},{"id":"https://openalex.org/keywords/superposition","display_name":"superposition","score":0.9300000071525574},{"id":"https://openalex.org/keywords/eigenfunction-series","display_name":"eigenfunction series","score":0.6309999823570251}],"concepts":[{"id":"https://openalex.org/C128803854","wikidata":"https://www.wikidata.org/wiki/Q1307821","display_name":"Eigenfunction","level":3,"score":0.9029818773269653},{"id":"https://openalex.org/C2777984123","wikidata":"https://www.wikidata.org/wiki/Q9248237","display_name":"Pointwise","level":2,"score":0.9008303880691528},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8842312097549438},{"id":"https://openalex.org/C27753989","wikidata":"https://www.wikidata.org/wiki/Q284885","display_name":"Superposition principle","level":2,"score":0.5844914317131042},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5063003301620483},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3279787302017212},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3251835107803345},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.09185293316841125},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.04874604940414429},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bfb0065012","doi":"https://doi.org/10.1007/bfb0065012","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0065012","pdf_url":null,"source":{"id":"https://openalex.org/S118039931","display_name":"Lecture notes in mathematics","issn_l":"0075-8434","issn":["0075-8434","1617-9692"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Mathematics","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"id":"https://metadata.un.org/sdg/13","display_name":"Climate action","score":0.8799999952316284}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1539210139","https://openalex.org/W1559907478","https://openalex.org/W2014522753","https://openalex.org/W2017953907","https://openalex.org/W2035430433","https://openalex.org/W2149846618","https://openalex.org/W2550524953","https://openalex.org/W6600330348"],"related_works":["https://openalex.org/W4244429590","https://openalex.org/W4311972480","https://openalex.org/W178835792","https://openalex.org/W2483370208","https://openalex.org/W4240948198","https://openalex.org/W2728505954","https://openalex.org/W2330463480","https://openalex.org/W4309905399","https://openalex.org/W2019410721","https://openalex.org/W2072930136"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-10-10T09:11:00.788812","created_date":"2016-06-24T00:00:00"}