Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some properties of block-radial functions and Schr\"odinger type
  operators with block-radial potentials   Let $ R_\gamma B^{s}_{p,q}(\Rd)$ be a subspace of the Besov space
$B^{s}_{p,q}(\Rd)$ that consists of block-radial functions. We prove that the
asymptotic behaviour of the entropy numbers of compact embeddings $\id: \:
R_\gamma B^{s_1}_{p_1,q_1}(\R^d) \rightarrow R_\gamma B^{s_2}_{p_2,q_2}(\R^d)$
depends on the number of blocks of the lowest dimension, the parameters $p_1$
and $p_2$, but is independent of the smoothness parameters $s_1$, $s_2$. We
apply the asymptotic behaviour to estimation of powers of a negative spectra of
Schr\"odinger type operators with block-radial potentials. This part
essentially relies on the Birman-Schwinger principle.

25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn