Open AccessThe Plancherel and Hausdorff–Young Type Theorems for an Index Transformation
Author(s) -
Semyon Yakubovich
Publication year - 2006
Publication title -
zeitschrift für analysis und ihre anwendungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.567
H-Index - 35
eISSN - 1661-4534
pISSN - 0232-2064
DOI - 10.4171/zaa/1284
Subject(s) - hausdorff space , transformation (genetics) , index (typography) , mathematics , type (biology) , pure mathematics , geology , computer science , chemistry , paleontology , biochemistry , world wide web , gene
The Plancherel and Hausdorff–Young type theorems are proved for an integral transformation, which is associated with the product of the modified Bessel functions of different arguments. The transform essentially generalizes Lebedev’s transformation involving squares of the modified Bessel functions as kernels.
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