{"id":"https://openalex.org/W4242224977","doi":"https://doi.org/10.1007/0-8176-4504-7_3","title":"Semidiscrete Multipliers","display_name":"Semidiscrete Multipliers","publication_year":2007,"publication_date":"2007-08-01","ids":{"openalex":"https://openalex.org/W4242224977","doi":"https://doi.org/10.1007/0-8176-4504-7_3"},"language":"en","primary_location":{"id":"doi:10.1007/0-8176-4504-7_3","doi":"https://doi.org/10.1007/0-8176-4504-7_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/0-8176-4504-7_3","pdf_url":null,"source":{"id":"https://openalex.org/S4306462921","display_name":"Birkh\u00e4user Boston eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied and Numerical Harmonic Analysis","raw_type":"book-chapter"},"parent_works":[{"id":"https://openalex.org/W2495136817","display_name":"Harmonic Analysis and Applications","relationship":"volume"}],"lineage":["https://openalex.org/W4242224977","https://openalex.org/W2495136817"],"child_works_count":0,"type":"book-chapter","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":"https://openalex.org/A5014096426","display_name":"Georg Zimmermann","orcid":"https://orcid.org/0000-0003-2276-9489","observed_orcids":["https://orcid.org/0000-0003-2276-9489"]},"institutions":[{"id":"https://openalex.org/I110079840","display_name":"University of Hohenheim","ror":"https://ror.org/00b1c9541","country_code":"DE","type":"education","lineage":["https://openalex.org/I110079840"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Georg Zimmermann","raw_affiliation_strings":["Institut f\u00fcr Angewandte Mathematik und Statistik, Universit\u00e4t Hohenheim, 70593, Stuttgart, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Angewandte Mathematik und Statistik, Universit\u00e4t Hohenheim, 70593, Stuttgart, Germany","institution_ids":["https://openalex.org/I110079840"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5014096426"],"corresponding_institution_ids":["https://openalex.org/I110079840"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"25","last_page":"48"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.8525000214576721,"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":0.8525000214576721,"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/T11049","display_name":"Advanced Harmonic Analysis Research","score":0.08110000193119049,"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/T10899","display_name":"Advanced Operator Algebra Research","score":0.0340999998152256,"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/locally-compact-abelian-groups","display_name":"locally compact abelian groups","score":0.8529999852180481},{"id":"https://openalex.org/keywords/discrete-subgroups","display_name":"discrete subgroups","score":0.8379999995231628},{"id":"https://openalex.org/keywords/representation-theorem","display_name":"representation theorem","score":0.8949999809265137},{"id":"https://openalex.org/keywords/sequence-spaces","display_name":"sequence spaces","score":0.5770000219345093},{"id":"https://openalex.org/keywords/lp-spaces","display_name":"Lp spaces","score":0.722000002861023},{"id":"https://openalex.org/keywords/spaces-of-continuous-functions","display_name":"spaces of continuous functions","score":0.6370000243186951},{"id":"https://openalex.org/keywords/fourier-multipliers","display_name":"Fourier multipliers","score":0.4749999940395355}],"concepts":[{"id":"https://openalex.org/C124584101","wikidata":"https://www.wikidata.org/wiki/Q1053266","display_name":"Multiplier (economics)","level":2,"score":0.7074917554855347},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7074905633926392},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.6062697172164917},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.5734971761703491},{"id":"https://openalex.org/C31498916","wikidata":"https://www.wikidata.org/wiki/Q583034","display_name":"Locally compact space","level":2,"score":0.5581983327865601},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5308887362480164},{"id":"https://openalex.org/C2775922551","wikidata":"https://www.wikidata.org/wiki/Q7135033","display_name":"Parallels","level":2,"score":0.4787956178188324},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.4412784278392792},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.42729729413986206},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3750995993614197},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33018556237220764},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1215740442276001},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C139719470","wikidata":"https://www.wikidata.org/wiki/Q39680","display_name":"Macroeconomics","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/0-8176-4504-7_3","doi":"https://doi.org/10.1007/0-8176-4504-7_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/0-8176-4504-7_3","pdf_url":null,"source":{"id":"https://openalex.org/S4306462921","display_name":"Birkh\u00e4user Boston eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied and Numerical Harmonic Analysis","raw_type":"book-chapter"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.61.798","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.61.798","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.uni-hohenheim.de/~gzim/Publications/sdm.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1480226884","https://openalex.org/W1570702198","https://openalex.org/W1923401233","https://openalex.org/W1980149518","https://openalex.org/W1986869180","https://openalex.org/W1991233659","https://openalex.org/W2007927352","https://openalex.org/W2036242265","https://openalex.org/W2061361918","https://openalex.org/W2071376846","https://openalex.org/W2135071386"],"related_works":["https://openalex.org/W7097635374","https://openalex.org/W1570336633","https://openalex.org/W2039064398","https://openalex.org/W2171724113","https://openalex.org/W2071486298","https://openalex.org/W183729045","https://openalex.org/W7002509319","https://openalex.org/W2074837363","https://openalex.org/W2015764755","https://openalex.org/W4206857530"],"abstract_inverted_index":{"A":[0],"semidiscrete":[1],"multiplier":[2],"is":[3,100],"an":[4],"operator":[5],"between":[6],"a":[7,14,25,30,61],"space":[8,26],"of":[9,27,34,56,63],"functions":[10],"or":[11],"distributions":[12],"on":[13,20,29,36],"locally":[15],"compact":[16],"Abelian":[17],"group":[18],"G":[19,35],"the":[21,37,41,53,96,103,109],"one":[22],"hand,":[23,39],"and":[24,59,93,102],"sequences":[28],"discrete":[31],"subgroup":[32],"H":[33,49],"other":[38],"with":[40,46],"property":[42],"that":[43],"it":[44],"commutes":[45],"shifts":[47],"by":[48,91,95],".":[50],"We":[51,77],"describe":[52],"basic":[54],"form":[55],"such":[57],"operators":[58],"show":[60],"number":[62],"representation":[64,83],"theorems":[65,84],"for":[66,85],"classical":[67],"spaces":[68],"like":[69],"L":[70],"p":[71],",":[72,75],"C":[73],"0":[74],"etc.":[76],"also":[78],"point":[79],"out":[80],"parallels":[81],"to":[82],"multipliers.":[86],"These":[87],"keywords":[88,104],"were":[89],"added":[90],"machine":[92],"not":[94],"authors.":[97],"This":[98],"process":[99],"experimental":[101],"may":[105],"be":[106],"updated":[107],"as":[108],"learning":[110],"algorithm":[111],"improves.":[112]},"counts_by_year":[],"updated_date":"2026-11-14T11:04:58.165337","created_date":"2022-05-12T00:00:00"}
