{"id":"https://openalex.org/W4285536877","doi":"https://doi.org/10.1007/978-3-031-02545-7_20","title":"Uniqueness and Linearity of the Laplace Transform","display_name":"Uniqueness and Linearity of the Laplace Transform","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W4285536877","doi":"https://doi.org/10.1007/978-3-031-02545-7_20"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-02545-7_20","doi":"https://doi.org/10.1007/978-3-031-02545-7_20","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-02545-7_20","pdf_url":null,"source":{"id":"https://openalex.org/S35274427","display_name":"Synthesis lectures on signal processing","issn_l":"1932-1236","issn":["1932-1236","1932-1694"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310322570","host_organization_name":"Morgan & Claypool Publishers","host_organization_lineage":["https://openalex.org/P4310322570"],"host_organization_lineage_names":["Morgan & Claypool Publishers"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Synthesis Lectures on Signal Processing","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W3181166589","display_name":"Signals and Systems"},"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/A5042195176","display_name":"Khalid Sayood","orcid":"https://orcid.org/0000-0001-8010-5272","observed_orcids":["https://orcid.org/0000-0001-8010-5272"]},"institutions":[{"id":"https://openalex.org/I114395901","display_name":"University of Nebraska\u2013Lincoln","ror":"https://ror.org/043mer456","country_code":"US","type":"education","lineage":["https://openalex.org/I114395901"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Khalid Sayood","raw_affiliation_strings":["University of Nebraska-Lincoln, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Nebraska-Lincoln, USA","institution_ids":["https://openalex.org/I114395901"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5042195176"],"corresponding_institution_ids":["https://openalex.org/I114395901"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.72150313,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"249","last_page":"258"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9965999722480774,"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":0.9965999722480774,"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/T13806","display_name":"Mathematical and Computational Methods","score":0.0010000000474974513,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.0006000000284984708,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":1.0},{"id":"https://openalex.org/keywords/linearity","display_name":"linearity","score":0.8619999885559082},{"id":"https://openalex.org/keywords/inverse-laplace-transform","display_name":"inverse Laplace transform","score":0.8149999976158142},{"id":"https://openalex.org/keywords/signal-representation","display_name":"signal representation","score":0.5379999876022339}],"concepts":[{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.9281442761421204},{"id":"https://openalex.org/C10288518","wikidata":"https://www.wikidata.org/wiki/Q1785576","display_name":"Two-sided Laplace transform","level":5,"score":0.8639165163040161},{"id":"https://openalex.org/C194330524","wikidata":"https://www.wikidata.org/wiki/Q2858841","display_name":"Laplace transform applied to differential equations","level":3,"score":0.8622644543647766},{"id":"https://openalex.org/C60455284","wikidata":"https://www.wikidata.org/wiki/Q2162701","display_name":"Inverse Laplace transform","level":3,"score":0.7883456945419312},{"id":"https://openalex.org/C141255357","wikidata":"https://www.wikidata.org/wiki/Q3997728","display_name":"Laplace\u2013Stieltjes transform","level":5,"score":0.7797258496284485},{"id":"https://openalex.org/C199874217","wikidata":"https://www.wikidata.org/wiki/Q606934","display_name":"Mellin transform","level":3,"score":0.7363450527191162},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.6441070437431335},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6223266124725342},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.5629542469978333},{"id":"https://openalex.org/C208067445","wikidata":"https://www.wikidata.org/wiki/Q5602166","display_name":"Green's function for the three-variable Laplace equation","level":4,"score":0.5573235154151917},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.49507346749305725},{"id":"https://openalex.org/C119200878","wikidata":"https://www.wikidata.org/wiki/Q2162701","display_name":"Post's inversion formula","level":5,"score":0.4787808656692505},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.45147034525871277},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32099151611328125},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.1366281807422638}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-031-02545-7_20","doi":"https://doi.org/10.1007/978-3-031-02545-7_20","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-02545-7_20","pdf_url":null,"source":{"id":"https://openalex.org/S35274427","display_name":"Synthesis lectures on signal processing","issn_l":"1932-1236","issn":["1932-1236","1932-1694"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310322570","host_organization_name":"Morgan & Claypool Publishers","host_organization_lineage":["https://openalex.org/P4310322570"],"host_organization_lineage_names":["Morgan & Claypool Publishers"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Synthesis Lectures on Signal Processing","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4285535424","https://openalex.org/W1708101261","https://openalex.org/W4315559453","https://openalex.org/W2906621196","https://openalex.org/W4415964467","https://openalex.org/W2040690592","https://openalex.org/W1526655943","https://openalex.org/W3111292367","https://openalex.org/W4212928601","https://openalex.org/W4393127022"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2022-07-16T00:00:00"}
