{"doi":"10.1216/rmjm/1021249437","title":"Hankel Transformation and Hankel Convolution of Tempered Beurling Distributions","abstract":null,"journal":"Rocky Mountain Journal of Mathematics","year":2001,"id":648939,"datarank":0.31191623125197543,"base_score":2.0794415416798357,"endowment":2.0794415416798357,"self_citation_contribution":0.31191623125197543,"citation_network_contribution":0.0,"self_endowment_contribution":0.31191623125197543,"citer_contribution":0.0,"corpus_percentile":null,"corpus_rank":null,"citation_count":7,"citer_count":0,"citers_with_citation_signal":0,"citers_with_endowment":0,"datacite_reuse_total":0,"is_dataset":false,"is_dataset_confidence":null,"is_data_producer":false,"deposit_databanks":null,"is_oa":false,"file_count":0,"downloads":0,"has_version_chain":false,"published_date":null,"fair_score":null,"fair_percentile":null,"algorithm_id":"datarank_citation_only_1hop_v6","ranking_scope":"data_only","authors":[{"id":1691466,"name":"J.J. Betancor","orcid":null,"position":1,"is_corresponding":false},{"id":1691464,"name":"M. Belhadj","orcid":null,"position":0,"is_corresponding":false}],"reference_count":0,"raw_metadata":{"has_enrichment":true,"resolved":true,"title":"Hankel Transformation and Hankel Convolution of Tempered Beurling Distributions","abstract":"In this paper we complete the distributional theory of Hankel transformation developed in [5] and [18].New Fréchet function spaces H µ (w) are introduced.The functions in H µ (w) have a growth in infinity restricted by the Beurling type function w.We study on H µ (w) and its dual the Hankel transformation and the Hankel convolution.","is_dataset_classified":null,"base_score":2.0794415416798357,"endowment":2.0794415416798357,"datacite_reuse_total":0,"file_count":0,"downloads":0,"views":0,"has_version_chain":false,"is_dataset":false,"is_oa":false,"pmid":"19162232","pmcid":null,"openalex_id":"https://openalex.org/W2023140093","authors":[],"funders":[],"total_grants":0,"fwci":1.1523,"citation_percentile":0.7524384,"influential_citations":0,"citation_trend":[{"year":2013,"count":1}],"oa_status":"bronze","license":null,"oa_locations":[{"url":"https://projecteuclid.org/journals/rocky-mountain-journal-of-mathematics/volume-31/issue-4/Hankel-Transformation-and-Hankel-Convolution-of-Tempered-Beurling-Distributions/10.1216/rmjm/1021249437.pdf","host_type":"journal"},{"url":"https://projecteuclid.org/journals/rocky-mountain-journal-of-mathematics/volume-31/issue-4/Hankel-Transformation-and-Hankel-Convolution-of-Tempered-Beurling-Distributions/10.1216/rmjm/1021249437.pdf","host_type":"publisher"},{"url":"https://doi.org/10.1216/rmjm/1021249437","host_type":"journal"},{"url":"http://projecteuclid.org/euclid.rmjm/1181070149","host_type":"repository"}],"fields_of_study":["Mathematical functions and polynomials","Mathematical Analysis and Transform Methods","Approximation Theory and Sequence Spaces"],"mesh_terms":[],"keywords":["Mathematics","Convolution (computer science)","Hankel transform","Hankel matrix","Transformation (genetics)","Infinity","Function (biology)","Type (biology)","Mathematical analysis","Circular convolution","Convolution power","Pure mathematics","Bessel function","Fourier transform"],"sdg_mappings":[],"linked_datasets":[],"clinical_trials":[],"software_tools":[],"database_accessions":[],"source":"live","citation_network_status":"fetched"},"created_at":"2026-08-10T03:08:48.713864Z","pmid":null,"pmcid":null,"fwci":null,"citation_percentile":null,"influential_citations":0,"oa_status":null,"license":null,"views":0,"total_file_size_bytes":0,"version_count":0,"fair_f":null,"fair_a":null,"fair_i":null,"fair_r":null,"fair_zscore":null,"fair_rationale":null,"fair_model":null,"fair_agent_version":null,"fair_fulltext_source":null,"fair_has_llm":null,"fair_computed_at":null,"clinical_trials":[],"software_tools":[],"db_accessions":[],"linked_datasets":[],"topics":[]}