... of **differential** geometry which provides us with a criterion to decide when such degenerate tensors still produce solvable ...of **differential** **operators** that locally restrict diffusion to the tangent ...

131

... linear **operators** between X and Y are simply the linear mappings T : X → Y , because the only dense vector subspace of a finite-dimensional normed space is the space ...partial **differential** **operators** ...

89

... Abstract. In this paper we classify the irreducible quasifinite highest weight modules over the orthogonal and symplectic types Lie subalgebras of the Lie algebra of the matrix quantum pseudo-**differential** ...

36

... form of integration by parts is an essential ingredient for the proof of the traciality. In spite of the lack of transmission property, we were nevertheless able to transpose Fedosov et al.’s approach to our context by a ...

191

... If a unrestricted multi-laser machine is used with independent laser heads, i.e, receiving different machining instructions, a global time clock must be used in order to trigger the upda[r] ...

285

... ABSTRACT. We represent the affi ne ring of an elli ptic curve as a ring of matrix difTerential **operators**. As an application, we embed the phase variables of the rigid body motion on SO(3) (Euler Top) into ...

28

... J. Giraud provides an alternative approach to the form of induction used by Hironaka in his Desingularization Theorem (over ﬁelds of characteristic zero). In doing so, Giraud introduces technics based on diﬀerential ...

18

... Algebraic approach to handling the inverse spectral problem for the finite-gap operators, with the spectral data being encoded in the spectral curve and an associated line bundle... On c[r] ...

23

... In this section we apply the general results obtained in previous sections to specific examples involving **differential** **operators**. We specify our characterization of Paley-Wiener functions that are defined ...

11

... The equivalence of (i) and (ii) is classical, cf. [15], and the equivalence of (iii) with the other two conditions has been proved by F. Ferrari Ruffino [13]. Notice that the immersion (2.1) in Euclidean space depends on ...

12

... of **operators** can be neglected from the formulation of [18, Theorem ...linear **operators** can be similarly given, by using the analysis from Example ...unbounded **differential** **operators** that we ...

11

... The next famous mathematician in arriving to the fractional problem (finding and expression for non-integer order derivatives) was Leonard Euler, in 1730, Eu- ler proved himself being the first in calculating a ...

58

... besides introducing the STARE database (see Sect. 3.4 for a complete description). Chanwimaluang and Guoliang [48] presented a method that also uses matched filtering, to later apply a threshold based on local entropy. ...

147

... and non-homogeneous type spaces. In Section 3 we consider the Hardy spaces associated to second order linear **differential** **operators**. In the last years I have collaborated with J. Dziubanski (University of ...

22

... Any quantifier generating the weighting vector w satisfies the required prop- erties of the function f in the previous definition (under the assumption that the quantifier is the identity when w = η). For this reason, it ...

8

... The paper is organized as follows. In Section 2 we recall some basic properties of aggregation functions and the concepts of semi-uninorms and uninorms. Sec- tion 3 is devoted to Choquet integral, including some of the ...

10

... The rest of this paper is organized as follows. In the next section we present an abstract framework for **operators** of the form (1). To the best of our knowledge, such kind a of operator has not been analyzed ...

20

... Here, is considered as a small complex perturbation parameter. The study of singularly perturbed ordinary and partial **differential** equations has been recently developed by several authors. We can cite [3, 7, 10] ...

89

... SUOWA **operators** possess interesting properties, their main weakness is that, sometimes, the construction of the capacities is not straightforward given that it is necessary to calculate the monotonic cover [20], ...

10

... Observe that H, being convolution commutes with all translations. That is also commutes with all dilation **operators** follows from the observation that 1/y is a multiple of the multiplicative Haar measure. It can ...

13