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Mellin analysis, transform theory, and applications = a self-contained approach /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Mellin analysis, transform theory, and applications/ by Carlo Bardaro ... [et al.].
其他題名:	a self-contained approach /
其他作者:	Bardaro, Carlo.
出版者:	Cham :Springer Nature Switzerland : : 2025.,
面頁冊數:	xxi, 483 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Mellin transform. -
電子資源:	https://doi.org/10.1007/978-3-031-96672-9
ISBN:	9783031966729

Mellin analysis, transform theory, and applications = a self-contained approach /
Mellin analysis, transform theory, and applicationsa self-contained approach /[electronic resource] :by Carlo Bardaro ... [et al.]. - Cham :Springer Nature Switzerland :2025. - xxi, 483 p. :ill. (some col.), digital ;24 cm.

This monograph presents the theory of the Mellin transform and the resulting Mellin analysis in a rigorous and unified manner. Often dismissed as a subordinate topic within Fourier and Laplace transform, it is instead demonstrated here that the theory is completely independent, can be studied within a self-contained framework, and exhibits some typical characteristics. In addition to highlighting the foundations of the theory, the book addresses applications to certain partial differential equations, sampling theory and numerical quadrature. These applications provide methods which are in turn of interest in various areas of mathematics, science, and engineering. Each chapter is enriched by numerous references to further literature and potential research directions. Researchers working in this field will gain new insights and appreciate the deserved attention for this underrated topic in harmonic analysis.

ISBN: 9783031966729

Standard No.: 10.1007/978-3-031-96672-9doiSubjects--Topical Terms:

864013
Mellin transform.

LC Class. No.: QA432

Dewey Class. No.: 515.723

Mellin analysis, transform theory, and applications = a self-contained approach /
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245 0 0 $a Mellin analysis, transform theory, and applications $h [electronic resource] : $b a self-contained approach / $c by Carlo Bardaro ... [et al.].
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520 $a This monograph presents the theory of the Mellin transform and the resulting Mellin analysis in a rigorous and unified manner. Often dismissed as a subordinate topic within Fourier and Laplace transform, it is instead demonstrated here that the theory is completely independent, can be studied within a self-contained framework, and exhibits some typical characteristics. In addition to highlighting the foundations of the theory, the book addresses applications to certain partial differential equations, sampling theory and numerical quadrature. These applications provide methods which are in turn of interest in various areas of mathematics, science, and engineering. Each chapter is enriched by numerous references to further literature and potential research directions. Researchers working in this field will gain new insights and appreciate the deserved attention for this underrated topic in harmonic analysis.
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