{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,12]],"date-time":"2026-05-12T11:17:48Z","timestamp":1778584668552,"version":"3.51.4"},"reference-count":47,"publisher":"National Inquiry Services Center (NISC)","issue":"3","license":[{"start":{"date-parts":[[2025,11,17]],"date-time":"2025-11-17T00:00:00Z","timestamp":1763337600000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","award":["UID\/4106\/2025"],"award-info":[{"award-number":["UID\/4106\/2025"]}]},{"name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","award":["UID\/PRR\/4106\/2025"],"award-info":[{"award-number":["UID\/PRR\/4106\/2025"]}]},{"name":"Viet Nam National University","award":["QG.22.47"],"award-info":[{"award-number":["QG.22.47"]}]}],"content-domain":{"domain":["www.tandfonline.com"],"crossmark-restriction":true},"short-container-title":["Quaestiones Mathematicae"],"published-print":{"date-parts":[[2026,3,4]]},"DOI":"10.2989\/16073606.2025.2581633","type":"journal-article","created":{"date-parts":[[2025,11,17]],"date-time":"2025-11-17T08:28:29Z","timestamp":1763368109000},"page":"335-369","update-policy":"https:\/\/doi.org\/10.1080\/tandf_crossmark_01","source":"Crossref","is-referenced-by-count":1,"title":["Polyconvolutions and their applications to Fredholm and Barbashin-type integral equations"],"prefix":"10.2989","volume":"49","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4261-8699","authenticated-orcid":false,"given":"Lu\u00eds P.","family":"Castro","sequence":"first","affiliation":[{"name":"University of Aveiro","place":["Aveiro, Portugal"]}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5761-4041","authenticated-orcid":false,"given":"Nguyen M.","family":"Tuan","sequence":"additional","affiliation":[{"name":"VNU University of Education, Viet Nam National University","place":["Hanoi, Viet Nam"]}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0376-0238","authenticated-orcid":false,"given":"Trinh","family":"Tuan","sequence":"additional","affiliation":[{"name":"Electric Power University","place":["Hanoi, Viet Nam"]}]}],"member":"14412","published-online":{"date-parts":[[2025,11,17]]},"reference":[{"key":"e_1_2_1_2_1","volume-title":"Sobolev Spaces,","author":"Adams R.A.","year":"2003","unstructured":"R.A. Adams and J.F. Fournier, Sobolev Spaces, 2nd ed., Pure and Applied Mathematics, Vol. 140, Elsevier\/Academic Press, Amsterdam, 2003.","edition":"2"},{"key":"e_1_2_1_3_1","doi-asserted-by":"publisher","DOI":"10.1002\/mma.5359"},{"key":"e_1_2_1_4_1","doi-asserted-by":"publisher","DOI":"10.1007\/s11760-019-01432-5"},{"key":"e_1_2_1_5_1","doi-asserted-by":"publisher","DOI":"10.1201\/9781482270402"},{"key":"e_1_2_1_6_1","volume-title":"Tables of Integral Transforms","author":"Bateman H.","year":"1954","unstructured":"H. Bateman and A. Erd\u00e9lyi, Tables of Integral Transforms, McGraw-Hill Book Company, Inc., New York\/London, 1954."},{"key":"e_1_2_1_7_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-0348-8152-4"},{"key":"e_1_2_1_8_1","doi-asserted-by":"publisher","DOI":"10.1023\/B:MATN.0000036738.90655.d5"},{"key":"e_1_2_1_9_1","doi-asserted-by":"publisher","DOI":"10.1002\/mana.200510528"},{"key":"e_1_2_1_10_1","doi-asserted-by":"publisher","DOI":"10.1080\/10652469.2016.1245731"},{"key":"e_1_2_1_11_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00020-003-1281-5"},{"key":"e_1_2_1_12_1","doi-asserted-by":"publisher","DOI":"10.1515\/ms-2017-0297"},{"key":"e_1_2_1_13_1","doi-asserted-by":"publisher","DOI":"10.3906\/mat-1801-90"},{"issue":"7","key":"e_1_2_1_14_1","first-page":"4835","article-title":"New convolutions and their applicability to integral equations of Wiener-Hopf plus Hankel type","volume":"43","author":"Castro L.P.","year":"2020","unstructured":"L.P. Castro, R.C. Guerra, and N.M. Tuan, New convolutions and their applicability to integral equations of Wiener-Hopf plus Hankel type, Math. Methods Appl. Sci. 43(7) (2020), 4835\u20134846.","journal-title":"Math. Methods Appl. Sci"},{"key":"e_1_2_1_15_1","doi-asserted-by":"publisher","DOI":"10.1142\/S1793557122501510"},{"key":"e_1_2_1_16_1","doi-asserted-by":"publisher","DOI":"10.1216\/jiea\/1181074982"},{"key":"e_1_2_1_17_1","doi-asserted-by":"publisher","DOI":"10.1002\/mana.200310166"},{"key":"e_1_2_1_18_1","volume-title":"Operational Mathematics","author":"Churchill R.V.","year":"1972","unstructured":"R.V. Churchill, Operational Mathematics, 3rd ed., McGraw-Hill Science, Engineering & Mathematics, New York, 1972.","edition":"3"},{"key":"e_1_2_1_19_1","doi-asserted-by":"publisher","DOI":"10.1007\/s40819-024-01826-1"},{"key":"e_1_2_1_20_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-20656-6"},{"key":"e_1_2_1_21_1","volume-title":"Integral Equations in Convolution with Discontinuous Presymbols. Singular Integral Equations with Fixed Singularities, and their Applications to some Problems of Mechanics","author":"Duduchava R.","year":"1979","unstructured":"R. Duduchava, Integral Equations in Convolution with Discontinuous Presymbols. Singular Integral Equations with Fixed Singularities, and their Applications to some Problems of Mechanics, Teubner-Texte zur Mathematik. BSB BG Teubner Verlags-gesellschaft, Leipzig, 1979."},{"key":"e_1_2_1_22_1","doi-asserted-by":"publisher","DOI":"10.1515\/gmj-2023-2035"},{"key":"e_1_2_1_23_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-0348-8213-2"},{"key":"e_1_2_1_24_1","volume-title":"Institutionum Calculi Integralis","author":"Euleri L.","year":"1768","unstructured":"L. Euleri, Institutionum Calculi Integralis, Vol. II, Impensis Academiae Imperialis Scientiarum, Petropoli, 1768."},{"key":"e_1_2_1_25_1","volume-title":"Th\u00e9orie Analytique de la Chaleur. Oeuvres de Fourier","author":"Fourier J.B.","year":"1888","unstructured":"J.B. Fourier, Th\u00e9orie Analytique de la Chaleur. Oeuvres de Fourier, Vol. I, Gauthier-Villards et Fills, Paris, 1888."},{"key":"e_1_2_1_26_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00020-009-1722-x"},{"key":"e_1_2_1_27_1","volume-title":"Table of Integrals, Series and Products","author":"Gradshteyn I.S.","year":"2007","unstructured":"I.S. Gradshteyn and I.M. Ryzhik, Table of Integrals, Series and Products, 7th ed., A. Jeffrey and D. Zwillinger, (eds.), Translated from Russian by Scripta Technica, Inc., Elsevier\/Academic Press, 2007.","edition":"7"},{"key":"e_1_2_1_28_1","first-page":"48","article-title":"On the convolution for integral transforms","volume":"22","author":"Kakichev V.A.","year":"1967","unstructured":"V.A. Kakichev, On the convolution for integral transforms, Izv. Acad. Nauk BSSR. Ser. Fiz. Mat. Nauk. 22 (1967), 48\u201357.","journal-title":"Izv. Acad. Nauk BSSR. Ser. Fiz. Mat. Nauk"},{"key":"e_1_2_1_29_1","volume-title":"Polyconvolutions. Definitions, Examples, Convolutional Equations","author":"Kakichev V.A.","year":"1997","unstructured":"V.A. Kakichev, Polyconvolutions. Definitions, Examples, Convolutional Equations, Lecture Notes (in Russian), Taganrog State University of Radio Engineering, Taganrog, 1997."},{"key":"e_1_2_1_30_1","volume-title":"Integral Operators in Non-Standard Function Spaces","author":"Kokilashvili V.","year":"2016","unstructured":"V. Kokilashvili, A. Meskhi, H. Rafeiro, and S. Samko, Integral Operators in Non-Standard Function Spaces, Vol. 1, Oper. Theory Adv. Appl., Vol. 248, Birkh\u00e4user\/Springer, Basel, 2016."},{"key":"e_1_2_1_31_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2021.03.039"},{"issue":"1","key":"e_1_2_1_32_1","article-title":"Modified ambiguity function and Wigner distribution associated with quadratic-phase Fourier transform","volume":"30","author":"Minh L.T.","year":"2024","unstructured":"L.T. Minh, Modified ambiguity function and Wigner distribution associated with quadratic-phase Fourier transform, J. Fourier Anal. Appl. 30(1) (2024), Paper no. 6.","journal-title":"J. Fourier Anal. Appl"},{"key":"e_1_2_1_33_1","first-page":"1","article-title":"Convolution for Integral Transforms and their Application","author":"Thao N.X.","year":"1997","unstructured":"N.X. Thao and N.T. Hai, Convolution for Integral Transforms and their Application, Computer Center of the Russian Academy (1997), 1\u201344.","journal-title":"Computer Center of the Russian Academy"},{"key":"e_1_2_1_34_1","unstructured":"M.A. Naimark Normed Algebras 3rd ed. Series of Monographs and Textbooks on Pure and Applied Mathematics Wolters-Noordhoff Publishing Groningen 1972."},{"key":"e_1_2_1_35_1","doi-asserted-by":"publisher","DOI":"10.1080\/00036811.2014.944172"},{"key":"e_1_2_1_36_1","first-page":"225","volume-title":"Weighted Lp -norm inequalities in convolutions","author":"Saitoh S.","year":"2000","unstructured":"S. Saitoh, Weighted Lp -norm inequalities in convolutions, In: T.M. Rassias (ed.), Survey on Classical Inequalities, Mathematics and its Applications, Vol. 517, pp. 225\u2013234, Kluwer Academic Publishers, Dordrecht, 2000."},{"key":"e_1_2_1_37_1","volume-title":"The use of Integral Transform","author":"Sneddon I.N.","year":"1972","unstructured":"I.N. Sneddon, The use of Integral Transform, McGraw-Hill Book Company, Inc., New York\/London, 1972."},{"key":"e_1_2_1_38_1","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511530029"},{"key":"e_1_2_1_39_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-015-8092-2"},{"issue":"10","key":"e_1_2_1_40_1","first-page":"1611","article-title":"On the polyconvolution for the Fourier cosine, Fourier sine, and Kontorovich\u2013Lebedev integral transforms, Ukr","volume":"62","author":"Thao N.X.","year":"2011","unstructured":"N.X. Thao and N.A. Virchenko, On the polyconvolution for the Fourier cosine, Fourier sine, and Kontorovich\u2013Lebedev integral transforms, Ukr. Math. J. 62(10) (2011), 1611\u20131624.","journal-title":"Math. J"},{"key":"e_1_2_1_41_1","volume-title":"Introduction to the Theory of Fourier Integrals","author":"Titchmarsh E.C.","year":"1948","unstructured":"E.C. Titchmarsh, Introduction to the Theory of Fourier Integrals, 2nd ed., The Clarendon Press, Oxford, U.K., 1948.","edition":"2"},{"key":"e_1_2_1_42_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-12577-0_57"},{"key":"e_1_2_1_43_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00009-022-02173-5"},{"key":"e_1_2_1_44_1","doi-asserted-by":"publisher","DOI":"10.1002\/mma.8442"},{"key":"e_1_2_1_45_1","doi-asserted-by":"publisher","DOI":"10.1002\/mma.9716"},{"key":"e_1_2_1_46_1","doi-asserted-by":"publisher","DOI":"10.1080\/10652469.2025.2536167"},{"key":"e_1_2_1_47_1","doi-asserted-by":"publisher","DOI":"10.1080\/10652469.2023.2182776"},{"key":"e_1_2_1_48_1","doi-asserted-by":"publisher","DOI":"10.1006\/jmaa.1998.6177"}],"container-title":["Quaestiones Mathematicae"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.tandfonline.com\/doi\/pdf\/10.2989\/16073606.2025.2581633","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,5,12]],"date-time":"2026-05-12T11:02:33Z","timestamp":1778583753000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.tandfonline.com\/doi\/full\/10.2989\/16073606.2025.2581633"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,11,17]]},"references-count":47,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2026,3,4]]}},"alternative-id":["10.2989\/16073606.2025.2581633"],"URL":"https:\/\/doi.org\/10.2989\/16073606.2025.2581633","relation":{},"ISSN":["1607-3606","1727-933X"],"issn-type":[{"value":"1607-3606","type":"print"},{"value":"1727-933X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,11,17]]},"assertion":[{"value":"The publishing and review policy for this title is described in its Aims & Scope.","order":1,"name":"peerreview_statement","label":"Peer Review Statement"},{"value":"http:\/\/www.tandfonline.com\/action\/journalInformation?show=aimsScope&journalCode=tqma20","URL":"http:\/\/www.tandfonline.com\/action\/journalInformation?show=aimsScope&journalCode=tqma20","order":2,"name":"aims_and_scope_url","label":"Aim & Scope"},{"value":"2024-10-23","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2025-09-29","order":1,"name":"revised","label":"Revised","group":{"name":"publication_history","label":"Publication History"}},{"value":"2025-11-17","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}