Recursos de colección
Project Euclid (Hosted at Cornell University Library) (191.996 recursos)
Tsukuba Journal of Mathematics
Tsukuba Journal of Mathematics
Yamashita, Go
We show that the weakly admissibility of the filtered $\varphi$-module with coefficients of Fermat varieties in the sense of Fontaine essentially expresses Stickelberger's theorem in Iwasawa theory. In particular, it gives us a simple re-proof of the weakly admissibility of it.
Danchev, Peter V.
We introduce and give a comprehensive study of weakly UU rings, calling them WUU rings. This notion is a natural generalization of the so-called UU rings, defined by Calugareanu (Carpath. J. Math., 2015) and investigated in details by Danchev-Lam (Publicat. Math. Debrecen, 2016). It also demarcates the strength of recent results about these kind of rings by giving a strong barrier between some of their crucial properties.
Miyagawa, Takashi
Analytic properties of three types of multiple zeta functions, that is, the Euler-Zagier type, the Mordell-Tornheim type and the Apostol-Vu type have been studied by a lot of authors. In particular, in the study of multiple zeta functions of the Apostol-Vu type, a generalized multiple zeta function, including both the Euler-Zagier type and the Apostol-Vu type, was introduced. In this paper, similarly we consider generalized multiple zeta-functions and $L$-functions, which include both the Euler-Zagier type and the Mordell-Tornheim type as special cases. We prove the meromorphic continuation to the multi-dimensional complex space, and give the results on possible singularities.
Kasahara, Yuji
The tail probability of the first hitting time is discussed for linear diffusions. We obtain the decay rates in terms of the spectral functions and the scale functions. The result is a generalization of recent results of Hamana-Matsumoto for Bessel processes.
Kostić, Marko
In this paper, we investigate the abstract incomplete degenerate di.erential equations in locally convex spaces, associated with use of the modified Liuoville right-sided fractional derivatives ([21]). The existence of solutions of abstract incomplete degenerate di.erential equations of second order is proved by considering the corresponding incomplete degenerate differential equations of order $1 / \gamma\;(0 \lt \gamma \lt 1/2$) and using an approximation process when $\gamma \rightarrow 1/2\:-$.
Murayama, Taro
We consider three magnetic relativistic Schrödinger
operators which correspond to the same classical symbol $\sqrt{(\xi - A(x))^2 + m^2} + V(x)$ and whose heat semigroups admit the Feynman-Kac-Itô type path integral representation $E[e^{ - S^m (x,\,t;\,X)} g(x + X(t))]$. Using these representations, we prove the convergence of these heat semigroups when the mass-parameter $m$ goes to zero. Its proof reduces to the convergence of $e^{- S^m (x,\,t;\,X)}$, which yields a limit theorem for exponentials of semimartingales as functionals of Lévy processes $X$.
Miyashita, Toshikazu
Bichon, Julien
We describe the Hopf algebra quotients and Hopf images of the smash coproduct of a group algebra by the algebra of functions on a finite group.
Ogata, Yuta
We study the construction of spacelike constant mean curvature (CMC) surfaces with mean curvature $0 \le H \lt 1$ in 3-dimensional de Sitter space $\mathbf{S}^{2, 1}$, by using Iwasawa splitting. We also study their singularities and create some criteria for them.
Nishioka, Kumiko; Nishioka, Seiji
In this paper, we study transcendence of values of Mahler functions satisfying first-order rational difference equations of Mahler type with constant coefficients.
Banerjee, Abhijit; Majumder, Sujoy
We study the uniqueness of meromorphic functions when certain nonlinear differential polynomial sharing a nonzero polynomial having common poles and thus radically improve and extend some recent results due to of Wang-Lu-Chen [17], Sahoo [16] and Liu and Yang [14].
Oshime, Yorimasa
Schrödinger operators $T_0 = -\Delta + q(x)$ with rapidly oscillating complex-valued potentials $q(x)$ are considered. Each of such operators is sectorial and hence has Friedrichs extension. We prove that $T_0$ is essentially m-sectorial in the sense that the closure of $T_0$ coincides with its Friedrichs extension $T$. In particular, $T_0$ is essentially self-adjoint if the rapidly oscillating potential $q(x)$ is realvalued. Further, we prove $\sigma_{ess} (T) = [0, \infty)$ under somewhat stricter condition on the potentials $q(x)$.
Castañeda-Alvarado, Enrique; Sánchez-Martínez, Javier
Let $X$ be a continuum. For each natural number $n, F_n(X)$ is the $n^{th}$-symmetric product of $X$ and $X^n$ is the product of $X$ with itself $n$ times. In this paper we consider the problem of determining the continua $X$ such that $X^n$ can be embedded in $F_n(X)$. Moreover, we characterize finite graphs $X$ for which $X^2$ is embeddable in $F_2(X)$.
Kitamura, Yoshimi; Tanaka, Yoshio
This paper is a continuation of [6]. We study partially ordered rings in terms of non-negative semi-cones and convex ideals, considering order-preserving homomorphisms, residue class rings, and certain product rings, etc.
Wu, Daruhan
In this paper, we define asymptotically generalized Cantor sets in metric measure spaces by generalizing the notion of $\lambda$-similarity maps. We define the notion of $(\lambda, c, \nu)$-similarity maps, and extend the Moran theorem about the generalized Cantor set in $\mathbf{R}^d$ to this general setting. As an example, we construct generalized Cantor sets in Riemannian manifolds by using $(\lambda, c, \nu)$-similarity maps.
Chinen, Naotsugu; Hosaka, Tetsuya
The review on [1] in Mathematical Reviews points out that the proof of its main result is incorrect.
The aim of this paper is to correct the previous paper's argument and clarify the statement.
Wakabayashi, Seiichiro
In this paper we investigate the Cauchy problem for hyperbolic operators with double characteristics and
hyperbolic operators of third order whose coefficients depend only on the time variable. And we give
sufficient conditions for $C^{\infty}$ well-posedness.
Oka, Yasuyuki
The aim of this paper is to give a characterization of the tempered distributions supported by a
(Whitney's) regular closed set in the Euclidean space and the Heisenberg group by means of the heat
kernel method. The heat kernel method, introduced by T. Matsuzawa, is the method to characterize the
generalized functions on the Euclidean space by the initial value of the solutions of the heat equation.
Abe, Yoshihiro
We try to take a first step to a theory of the structural properties of ideals over
$\mathscr P_{\kappa}\lambda$, that was studied in detail by Baumgartner, Taylor and Wagon [1]
for $\kappa$;. In defining the basic notions, P-points, Q-points, and selective ideals, we put importance on the behavior of the function on
$\mathscr P_{\kappa}\lambda$ to the bounded ideal and Rudin-Keisler ordering.
¶ Several facts hold similarly as on $\kappa$;, for instance, the bounded ideal is a nowhere Q-point. However some
differences exist such as the bounded ideal is isomorphic to another ideal. We state the sufficient condition for
ideals to be Q-points and the weakly normal
ideals...
Kable, Anthony C.
Previously, several families of systems of differential equations that generalize the Heisenberg
Laplacian equations were introduced. The study of one of these families is continued here. It is shown that the systems in this family are free of integrability conditions provided that a parameter appearing in the system avoids a certain set of bad values, which is explicitly determined. Properties of polynomial solutions to the systems are investigated and special polynomial solutions involving terminating Lauricella hypergeometric series are given in some cases.