Note on Fourier analysis (XXXV)

A note on rearrangements of Fourier coefficients

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A Note on Fourier-mukai Transform

Let X be an abelian or a K3 surface defined over C. The Fourier-Mukai transform is a very useful tool for analysing the moduli spaces of sheaves on X . In order to apply the Fourier-Mukai transform to an actual problem, it is important to study the problem on the preservation of stability under the Fourier-Mukai transform. In [Y2], [Y3], we discussed this problem and showed that the stability i...

Molecular recognition on supramolecular systems (XXXV)

A novel β-cyclodextrin derivative 4 bearing a pyridinio group on the primary side was synthesized by the reaction of 2-aminopyridine with 6-β-cyclodextrin monoaldehyde 3, and its complexation stability constants with several aliphatic amino acids have been determined in phosphate buffer solution ( pH = 7.2, 0.1 mol L) at 25 by using spectrofluormetric titrations. The stoichiometry is 1 1 for th...

Notes on Some Remedies. XXXV. Oxygen Therapy

A Note on the Convolution Theorem for the Fourier Transform

In this paper we characterize those bounded linear transformations Tf carrying L1(R1) into the space of bounded continuous functions on R1 , for which the convolution identity T (f ∗ g) = Tf ·Tg holds. It is shown that such a transformation is just the Fourier transform combined with an appropriate change of variable.