{"id":"https://openalex.org/W4388315674","doi":"https://doi.org/10.1093/oso/9780198596998.001.0001","title":"Sampling Theory in Fourier and Signal Analysis","display_name":"Sampling Theory in Fourier and Signal Analysis","publication_year":1996,"publication_date":"1996-05-30","ids":{"openalex":"https://openalex.org/W4388315674","doi":"https://doi.org/10.1093/oso/9780198596998.001.0001"},"language":"en","primary_location":{"id":"doi:10.1093/oso/9780198596998.001.0001","doi":"https://doi.org/10.1093/oso/9780198596998.001.0001","is_oa":false,"landing_page_url":"https://doi.org/10.1093/oso/9780198596998.001.0001","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"book"},"volume":null,"type":"book","is_traditional":true,"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":null,"display_name":"J R Higgins","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"J R Higgins","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":4.1876,"has_fulltext":false,"cited_by_count":485,"citation_normalized_percentile":{"value":0.95783133,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9994999766349792,"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":0.9994999766349792,"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/T12062","display_name":"Approximation Theory and Sequence Spaces","score":9.999999747378752e-05,"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.0,"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/sampling-theory","display_name":"sampling theory","score":0.9750000238418579},{"id":"https://openalex.org/keywords/discrete-sampling","display_name":"discrete sampling","score":0.5789999961853027},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.7229999899864197},{"id":"https://openalex.org/keywords/hilbert-spaces","display_name":"Hilbert spaces","score":0.9549999833106995},{"id":"https://openalex.org/keywords/bases","display_name":"bases","score":0.4050000011920929},{"id":"https://openalex.org/keywords/paley-wiener-spaces","display_name":"Paley-Wiener spaces","score":0.9980000257492065},{"id":"https://openalex.org/keywords/eigenvalue-problem","display_name":"eigenvalue problem","score":0.9800000190734863},{"id":"https://openalex.org/keywords/contour-integral-method","display_name":"contour integral method","score":0.9610000252723694},{"id":"https://openalex.org/keywords/poisson-summation-formula","display_name":"Poisson summation formula","score":0.996999979019165},{"id":"https://openalex.org/keywords/cauchy-integral-formula","display_name":"Cauchy integral formula","score":0.9290000200271606},{"id":"https://openalex.org/keywords/non-uniform-sampling","display_name":"non-uniform sampling","score":0.5370000004768372},{"id":"https://openalex.org/keywords/multichannel-sampling","display_name":"multichannel sampling","score":0.7789999842643738}],"concepts":[{"id":"https://openalex.org/C2985880046","wikidata":"https://www.wikidata.org/wiki/Q7410168","display_name":"Sampling theory","level":3,"score":0.663402795791626},{"id":"https://openalex.org/C49344536","wikidata":"https://www.wikidata.org/wiki/Q726441","display_name":"Cauchy distribution","level":2,"score":0.6621360182762146},{"id":"https://openalex.org/C288623","wikidata":"https://www.wikidata.org/wiki/Q679800","display_name":"Nyquist\u2013Shannon sampling theorem","level":2,"score":0.654892086982727},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.5960607528686523},{"id":"https://openalex.org/C64092710","wikidata":"https://www.wikidata.org/wiki/Q387743","display_name":"Poisson summation formula","level":3,"score":0.5808812379837036},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5709348917007446},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5168583989143372},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.4690796732902527},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.4612191617488861},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.41072744131088257},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.4103032648563385},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.4071853756904602},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33248329162597656},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32814332842826843},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3196234703063965},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2183533012866974},{"id":"https://openalex.org/C129848803","wikidata":"https://www.wikidata.org/wiki/Q2564360","display_name":"Sample size determination","level":2,"score":0.1213977038860321},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11782816052436829},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.11619243025779724},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1093/oso/9780198596998.001.0001","doi":"https://doi.org/10.1093/oso/9780198596998.001.0001","is_oa":false,"landing_page_url":"https://doi.org/10.1093/oso/9780198596998.001.0001","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"book"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1532186228","https://openalex.org/W628360264","https://openalex.org/W98168500","https://openalex.org/W4388235617","https://openalex.org/W1572121205","https://openalex.org/W2125021786","https://openalex.org/W4388296378","https://openalex.org/W218256120","https://openalex.org/W2068651471","https://openalex.org/W2989915642"],"abstract_inverted_index":{"Abstract":[0],"With":[1],"much":[2],"material":[3,53],"not":[4],"previously":[5],"found":[6,125],"in":[7],"book":[8,11],"form,":[9],"this":[10],"fills":[12],"a":[13,34,84],"gap":[14],"by":[15],"discussing":[16],"the":[17,48,87,90,93,121],"equivalence":[18,88],"of":[19,25,41,67,86,89,123],"signal":[20],"functions":[21],"with":[22,44],"their":[23,61],"sets":[24],"values":[26],"taken":[27],"at":[28],"discreet":[29],"points":[30],"comprehensively":[31],"and":[32,51,57,60,69,74,97,106,109,116],"on":[33,54],"firm":[35],"mathematical":[36],"ground.":[37],"The":[38],"wide":[39],"variety":[40],"topics":[42],"begins":[43],"an":[45],"introduction":[46],"to":[47,77],"main":[49],"ideas":[50],"background":[52],"Fourier":[55],"analysis":[56],"Hilbert":[58],"spaces":[59],"bases.":[62],"Other":[63],"chapters":[64],"discuss":[65],"sampling":[66,91,112],"Bernstein":[68],"Paley-Wiener":[70],"spaces;":[71],"Kramer's":[72],"Lemma":[73],"its":[75],"application":[76],"eigenvalue":[78],"problems;":[79],"contour":[80],"integral":[81,99],"methods":[82],"including":[83],"proof":[85],"theory;":[92],"Poisson":[94],"summation":[95],"formula":[96],"Cauchy's":[98],"formula;":[100],"optimal":[101],"regular,":[102],"irregular,":[103],"multi-channel,":[104],"multi-band":[105],"multi-dimensional":[107],"sampling;":[108],"Campbell's":[110],"generalized":[111],"theorem.":[113],"Mathematicians,":[114],"physicists,":[115],"communications":[117],"engineers":[118],"will":[119],"welcome":[120],"scope":[122],"information":[124],"here.":[126]},"counts_by_year":[{"year":2026,"cited_by_count":7},{"year":2025,"cited_by_count":12},{"year":2024,"cited_by_count":12},{"year":2023,"cited_by_count":22},{"year":2022,"cited_by_count":11},{"year":2021,"cited_by_count":15},{"year":2020,"cited_by_count":18},{"year":2019,"cited_by_count":20},{"year":2018,"cited_by_count":15},{"year":2017,"cited_by_count":16},{"year":2016,"cited_by_count":19},{"year":2015,"cited_by_count":24},{"year":2014,"cited_by_count":24},{"year":2013,"cited_by_count":19},{"year":2012,"cited_by_count":13}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2023-11-04T00:00:00"}
