Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Infinite-Dimensional Measure Spaces and Frame Analysis   We study certain infinite-dimensional probability measures in connection with
frame analysis. Earlier work on frame-measures has so far focused on the case
of finite-dimensional frames. We point out that there are good reasons for a
sharp distinction between stochastic analysis involving frames in finite vs
infinite dimensions. For the case of infinite-dimensional Hilbert space
$\mathcal{H}$, we study three cases of measures. We first show that, for
$\mathcal{H}$ infinite dimensional, 1 one must resort to infinite dimensional
measure spaces which properly contain $\mathcal{H}$. The three cases we
consider are: (i) Gaussian frame measures, (ii) Markov path-space measures, and
(iii) determinantal measures.

16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat