{"id":"https://openalex.org/W189111582","doi":"https://doi.org/10.1007/bfb0086565","title":"On summation processes of Fourier expansions for spherical functions","display_name":"On summation processes of Fourier expansions for spherical functions","publication_year":1977,"publication_date":"1977-01-01","ids":{"openalex":"https://openalex.org/W189111582","doi":"https://doi.org/10.1007/bfb0086565","mag":"189111582"},"language":"en","primary_location":{"id":"doi:10.1007/bfb0086565","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0086565","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,"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"},"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/A5030416645","display_name":"Bernd Dreseler","orcid":null},"institutions":[{"id":"https://openalex.org/I206895457","display_name":"University of Siegen","ror":"https://ror.org/02azyry73","country_code":"DE","type":"education","lineage":["https://openalex.org/I206895457"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Bernd Dreseler","raw_affiliation_strings":["Gesamthochschule Siegen, H\u00f6lderlinstra\u00dfe 3, D-5900, Siegen 21, Federal Republic of Germany","Gesamthochschule Siegen"],"affiliations":[{"raw_affiliation_string":"Gesamthochschule Siegen, H\u00f6lderlinstra\u00dfe 3, D-5900, Siegen 21, Federal Republic of Germany","institution_ids":["https://openalex.org/I206895457"]},{"raw_affiliation_string":"Gesamthochschule Siegen","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5030416645"],"corresponding_institution_ids":["https://openalex.org/I206895457"],"apc_list":null,"apc_paid":null,"fwci":1.3936,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.8,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"65","last_page":"84"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.9726999998092651,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T12404","display_name":"Mathematical Approximation and Integration","score":0.9726999998092651,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T12037","display_name":"Algebraic and Geometric Analysis","score":0.9154999852180481,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9067000150680542,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/mathematics","display_name":"Mathematics","score":0.8328242301940918},{"id":"https://openalex.org/keywords/fourier-series","display_name":"Fourier series","score":0.5860699415206909},{"id":"https://openalex.org/keywords/summation-by-parts","display_name":"Summation by parts","score":0.5391585826873779},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.5256703495979309},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.519885778427124},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4886792004108429},{"id":"https://openalex.org/keywords/poisson-summation-formula","display_name":"Poisson summation formula","score":0.4722059369087219}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8328242301940918},{"id":"https://openalex.org/C207864730","wikidata":"https://www.wikidata.org/wiki/Q179467","display_name":"Fourier series","level":2,"score":0.5860699415206909},{"id":"https://openalex.org/C13626590","wikidata":"https://www.wikidata.org/wiki/Q318754","display_name":"Summation by parts","level":2,"score":0.5391585826873779},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.5256703495979309},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.519885778427124},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4886792004108429},{"id":"https://openalex.org/C64092710","wikidata":"https://www.wikidata.org/wiki/Q387743","display_name":"Poisson summation formula","level":3,"score":0.4722059369087219}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bfb0086565","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0086565","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,"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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W566072753","https://openalex.org/W597397737","https://openalex.org/W1513971458","https://openalex.org/W1559907478","https://openalex.org/W2015573459","https://openalex.org/W2030821603","https://openalex.org/W2057030829","https://openalex.org/W2057374697","https://openalex.org/W2059057836","https://openalex.org/W2071355416","https://openalex.org/W2087640086","https://openalex.org/W2090320043","https://openalex.org/W2092754311","https://openalex.org/W2318180015","https://openalex.org/W2319308948","https://openalex.org/W2574546197"],"related_works":["https://openalex.org/W2041779119","https://openalex.org/W2094657987","https://openalex.org/W2320412982","https://openalex.org/W4387646299","https://openalex.org/W2099309112","https://openalex.org/W2122827492","https://openalex.org/W2027279557","https://openalex.org/W2181524977","https://openalex.org/W4388191048","https://openalex.org/W3013844305"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
