Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectral Integrals of Bernoulli Generalized Functionals   Let $\mathcal{S}\subset \mathcal{L}^2 \subset \mathcal{S}^*$ be the Gel'fand
triple over the Bernoulli space, where elements of $\mathcal{S}^*$ are called
Bernoulli generalized functionals. In this paper, we define integrals of
Bernoulli generalized functionals with respect to a spectral measure
(projection operator-valued measure) in the framework of $\mathcal{S}\subset
\mathcal{L}^2 \subset \mathcal{S}^*$, and examine their fundamental properties.
New notions are introduced, several results are obtained and examples are also
shown.

23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc