Introduction. In [ 11 BROWN obtained necessary and sufficient conditions for the singularity of POISSON processes P, and P,, with a-finite mean measures v and p. In this paper we show for RADON measures Y and p that P, and P,, are singular iff P,/%and P,,/%,., are singular. Particularly we find a se
On the singularity of (∑) point processes
✍ Scribed by E. Glötzl
- Publisher
- John Wiley and Sons
- Year
- 1979
- Tongue
- English
- Weight
- 113 KB
- Volume
- 92
- Category
- Article
- ISSN
- 0025-584X
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📜 SIMILAR VOLUMES
## Abstract We prove that for any self‐adjoint operator __A__ in a separable Hilbert space ℋ︁ and a given countable set Λ = {__λ__ ~__i__~ }~__i__ ∈ℕ~ of real numbers, there exist ℋ︁~–2~‐singular perturbations __Ã__ of __A__ such that Λ ⊂ __σ__ ~__p__~ (__Ã__). In particular, if Λ = {__λ__ ~1~,…, _
The goal of this paper is to describe the set of polynomials r ∈ C[x] such that the linear differential equation y = ry has Liouvillian solutions, where C is an algebraically closed field of characteristic 0. It is known that the differential equation has Liouvillian solutions only if the degree of