Results 21 to 30 of about 250 (142)
Evidence-Based Complementary and Alternative Medicine, Volume 2013, Issue 1, 2013., 2013 Jian‐Pi‐Zhi‐Dong Decoction (JPZDD) is dedicated to the treatment for Tourette syndrome (TS) with the guidance of the theories of Traditional Chinese Medicine (TCM). This study aims to investigate the expression of dopamine transporter (DAT) in the striatum and stereotyped behavior of TS mice model by intervention of JPZDD.
Dao-han Wang +5 more
wiley +1 more source
Stability in Generalized Functions
Abstract and Applied Analysis, Volume 2011, Issue 1, 2011., 2011 We consider the following additive functional equation with n‐independent variables: f(∑i=1nxi)=∑i=1nf(xi)+∑i=1nf(xi-xi-1) in the spaces of generalized functions. Making use of the heat kernels, we solve the general solutions and the stability problems of the above equation in the spaces of tempered distributions and Fourier hyperfunctions.
Young-Su Lee, Dumitru Baleanu
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Fundamental Properties of Modified Fourier Hyperfunctions
Tokyo Journal of Mathematics, 1985 There are three types of (vector-valued) Fourier hyperfunctions: classical (1960, 1975), modified (1976) and of mixed type (1981). The sheaves of these three types of Fourier hyperfunctions are defined on \(D^ n\), the radial compactification of \(R^ n\), all three of them are flabby, and each space of global sections of sheaves is stable under Fourier
openaire +2 more sources
Asymptotic hyperfunctions, tempered hyperfunctions, and asymptotic expansions
International Journal of Mathematics and Mathematical Sciences, Volume 2005, Issue 5, Page 755-788, 2005., 2005 We introduce new subclasses of Fourier hyperfunctions of mixed type, satisfying polynomial growth conditions at infinity, and develop their sheaf and duality theory. We use Fourier transformation and duality to examine relations of these asymptotic and tempered hyperfunctions to known classes of test functions and distributions, especially the Gel′fand‐
Andreas U. Schmidt
wiley +1 more source
A uniqueness theorem for Boehmians of analytic type
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 7, Page 501-504, 2000., 2000 The following uniqueness theorem is proven for a class of generalized functions. If F is a Boehmian of analytic type and F = 0 on some open arc Ω, then F ≡ 0.
Dennis Nemzer
wiley +1 more source
VIEW, Volume 7, Issue 1, February 2026.Notes: Their molecular characteristics—such as IDH genotype, P53 phenotype, and Ki‐67 labeling index—are critical determinants of treatment strategies and prognosis for patients of adult‐type diffuse gliomas. In this study, we employed 7‐tesla sodium magnetic resonance imaging (23Na MRI) and demonstrated that total sodium concentration (TSC) and ...
Letian Yuan +9 more
wiley +1 more source
International Journal of Stochastic Analysis, Volume 11, Issue 1, Page 43-58, 1998., 1997 In this paper, we propose a generalization of continuous‐time processed defined by , to the case of f being a distribution. We give a necessary and sufficient condition for f, such that the obtained process is a second order distribution process. We study the moments and the regularity of these processes. In addition, we investigate a generalization to
L. Bel +3 more
wiley +1 more source
Supershift properties for nonanalytic signals
Nanophotonics, Volume 14, Issue 23, Page 4039-4044, 02 November 2025.Abstract The phenomenon of superoscillations is of great interest in microscopy, antenna design, and material sciences. This phenomenon has been generalized and has given rise to the concept of supershift, which is a far reaching extension that applies to functions that may present discontinuous derivatives. From this perspective, this is a notion that
Fabrizio Colombo +3 more
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International Journal of Mathematics and Mathematical Sciences, Volume 12, Issue 4, Page 685-692, 1989., 1988 A class of generalized functions, called periodic Boehmians, on the unit circle, is studied. It is shown that the class of Boehmians contain all Beurling distributions. An example of a hyperfunctlon that is not a Boehmian is given. Some growth conditions on the Fourier coefficients of a Boehmian are given.
Dennis Nemzer
wiley +1 more source