AMS Mathematics Subject Classification (2000): 05C50, 68P20, 68R10.

In this paper we give a solution to the open classical problem of analytic classification of plane branches. AMS Subject Classification (2000). Primary: 14H20. Secondary: 14Q05, 14Q20, 32S10

If 〈L, <〉 is a dense linear ordering without end points and A and B disjoint dense subsets of L, then the topology OAB on the set L generated by closed intervals [a, b], where a ∈ A and b ∈ B, is finer than the standard topology, O<, generated by all open intervals and 〈L,OAB〉 is a GO-space. The basic properties of the topology OAB (separation axioms, cardinal functions, metrizability) are inve...

In this paper, we address the equivalence of the analytic and probabilistic notions of harmonicity in the context of general symmetric Hunt processes on locally compact separable metric spaces. Extensions to general symmetric right processes on Lusin spaces including infinite dimensional spaces are mentioned at the end of this paper. AMS 2000 Mathematics Subject Classification: Primary 60J45, 3...

In this paper we present microlocalised time-decay rates of solutions to hyperbolic equations with constant coefficients with arbitrary lower order terms. A particular attention is paid to regions with multiplicities. AMS Mathematics Subject Classification (2000): 35L30, 35L45

Let be introduced the Sobolev-type inner product (f, g) = 1 2 Z 1 −1 f(x)g(x)dx + M [f ′(1)g′(1) + f ′(−1)g′(−1)], where M ≥ 0. In this paper we will prove that for 1 ≤ p ≤ 4 3 there are functions f ∈ L([−1, 1]) whose Fourier expansion in terms of the orthonormal polynomials with respect to the above Sobolev inner product are divergent almost everywhere on [−1, 1]. We also show that, for some v...

We generalize a few results of [2, 6, 8] for radical classes of rings for radical classes of seminear-rings by using the construction for radical classes of seminear-rings. AMS Mathematics Subject Classification (2000): 16Y60, 16W50

We deal with the problem of uniqueness of meromorphic functions when their n-th derivatives share one or two values and improve all the results recently obtained by Jun and Mori [15]. We also provide an answer to the question of Yang [9]. AMS Mathematics Subject Classification (2000): 30D35

Our object in this article is to consider the structure of Hadamard topological algebras. Linear forms, Hadamard homomorphisms and units are determined, as well as properties of principal, maximal and prime ideals. AMS Mathematics Subject Classification (2000): 46G20, 46A32, 32E25, 26A33

The present paper deals with the study of φ-Ricci symmetric Kenmotsu manifolds. An example of a three-dimensional φ-Ricci symmetric Kenmotsu manifold is constructed for illustration. AMS Mathematics Subject Classification (2000): 53C25