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Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.

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Cauchy-Schwarz inequality for bilinear forms valued in an abstract vector space

Once I suggested that the TRANSFER PRINCIPLE exists by which some classical inequalities for numbers are transferred for vector lattices. It was proved in the paper: Kusraev A. G. A tranfer principle …
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Motivating the Bessel translation operator

The generalized translation operator helps to move singularity for PDE from zero to any value. It helps to define generalized positively defined functions and so on, analogous to use of standard shif …
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2 votes
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A book about almost periodic functions

What do you mean "a new", of what years? Classics are always new-the books of Bohr, Levitan and Zhikov, Besikovich himself. There is also a book of Corduneanu with standard name "almost periodic funct …
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5 votes
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Variations on the Mellin and Dirichlet transforms

I know that the discrete Mellin transform was defined by V.S.Ryko: http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=ivm&paperid=5138&option_lang=rus English reference: Soviet Mathematics (Izv …
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