On the Spectrum of the Distributional Kernel Related to the Residue
نویسنده
چکیده
We study the spectrum of the distributional kernel Kα,β(x), where α and β are complex numbers and x is a point in the space Rn of the n-dimensional Euclidean space. We found that for any nonzero point ξ that belongs to such a spectrum, there exists the residue of the Fourier transform (−1)k ̂ K2k,2k(ξ), where α = β = 2k, k is a nonnegative integer and ξ ∈Rn. 2000 Mathematics Subject Classification. 46F10, 46F12.
منابع مشابه
ISAR Image Improvement Using STFT Kernel Width Optimization Based On Minimum Entropy Criterion
Nowadays, Radar systems have many applications and radar imaging is one of the most important of these applications. Inverse Synthetic Aperture Radar (ISAR) is used to form an image from moving targets. Conventional methods use Fourier transform to retrieve Doppler information. However, because of maneuvering of the target, the Doppler spectrum becomes time-varying and the image is blurred. Joi...
متن کاملSpectrum of β-thalassemia Mutations in Iran, an Update
Abstract β-thalassemia major (β –TM) is the most common thalassemia severe phenotype among Iranians. In recent years, molecular understanding of pathogenesis of β –TM has provided a great opportunity regarding diagnostic issues. Creating comprehensive molecular databases provides highly sensitive diagnostic tools for β –TM and effective prenatal diagno...
متن کاملInfluence of Different Nitrogen Sources on Amount of Chitosan Production by Aspergillus niger in Solid State Fermentation
In this study the effect of different nitrogen source substrates on the amount of chitosan production by Aspergillus niger was investigated. A. niger PTCC 5012 from the Persian Type Culture Collection (PTCC) was grown on soy bean, corn seed and canola residues at 30 °C for specified cultivation days under sterilized conditions. ...
متن کاملInternal Septum of Walnut Kernel: a Neglected Functional Food
Walnut (Juglans regia L.) is a well-known member of the Juglandaceae family and its kernel is widely consumed around the world for both unique nutritional characteristics and health-related benefits. Even though several studies investigated the composition and biological activities of different parts of the walnut tree, the internal septum of the walnut kernel is less evaluated. In the...
متن کاملInvestigating the Effect of Washing, Saturating and Cooking Procedures on the Residual Amounts of Butachlor and Diazinon Vegetable Pesticides in White Rice
Objective: The usage of pesticides has increased during the recent years. One the other hand, presence of harmful pesticides residue in rice and other food has caused a great concern among the consumers. Therefore, it is important to develop some pragmatic procedures to increase the food safety along with the reduction in consumption of pesticide residues. Methods: A gas chromatograph with elec...
متن کامل