Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Articles Article Faculty Publications -Articles Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource A Family of Mexican Hat Wavelet Stieltjes Transform for Unbounded Non-decreasing Functions Subject The topic of the resource Mexican hat wavelet transform; Stieltjes and Lebesgue integral; Wavelet transform Description An account of the resource In the present article, we examine the characteristics of the Mexican hat wavelet Stieltjes transform (MHWST) for a specific set of functions belonging to one of the sub-class of bounded variation functions. The subset comprises functions that are unbounded and non-decreasing. Further, a unified approach is applied to establish a uniqueness theorem and subsequently derive a representation theorem for the MHWST. The Author(s), under exclusive licence to The National Academy of Sciences, India 2024. Creator An entity primarily responsible for making the resource Rawat A.; Singh A. Source A related resource from which the described resource is derived National Academy Science Letters Publisher An entity responsible for making the resource available Springer Date A point or period of time associated with an event in the lifecycle of the resource 2024-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1007/s40009-024-01455-8" target="_blank" rel="noreferrer noopener">https://doi.org/10.1007/s40009-024-01455-8</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85205550656&amp;doi=10.1007%2Fs40009-024-01455-8&amp;partnerID=40&amp;md5=79640fc72b024751c48398bb0af6a7a9" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85205550656&amp;doi=10.1007%2fs40009-024-01455-8&amp;partnerID=40&amp;md5=79640fc72b024751c48398bb0af6a7a9</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 0250541X Format The file format, physical medium, or dimensions of the resource Online Language A language of the resource English Type The nature or genre of the resource Article Coverage The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant Rawat A., Department of Sciences and Humanities, CHRIST (Deemed to be University), Bangalore, India; Singh A., Department of Mathematics and Statistics, Banasthali Vidhyapith, Banasthali, India