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$\mathit{\sigma }\mathrm{\left(}\mathit{r}\mathrm{\right)}\mathrm{/}{\mathit{r}}^{\mathit{\rho }\mathrm{+}\mathrm{2}\mathit{n}\mathrm{-}\mathrm{2}}\underset{\mathrm{0}}{\overset{\mathrm{\infty }}{{\displaystyle \int }}}\frac{\mathit{d}\mathit{\nu }\mathrm{\left(}\mathit{t}\mathrm{\right)}}{{\mathit{t}}^{\mathit{q}\mathrm{+}\mathrm{1}}}$ n--dimensional $\underset{\mathrm{0}}{\overset{\mathrm{\infty }}{{\displaystyle \int }}}\frac{\mathit{\nu }\mathrm{\left(}\mathit{t}\mathrm{\right)}\mathit{d}\mathit{t}}{{\mathit{t}}^{\mathit{q}\mathrm{+}\mathrm{2}}}\mathrm{<}\mathrm{\infty }{\mathit{k}}_{\mathit{n}}\mathrm{=}\mathrm{(}\mathit{n}\mathrm{-}\mathrm{2}\mathrm{)}\mathrm{!}\mathrm{/}\mathrm{2}{\mathit{\pi }}^{\mathit{n}\mathrm{-}\mathrm{1}}\mathrm{,}$ ${\mathit{k}}_{\mathit{n}}{\displaystyle \int }\mathit{\sigma }\mathrm{\left(}\mathit{a}\mathrm{\right)}{\mathit{e}}_{\mathit{n}}\mathrm{(}\mathit{a}\mathrm{,}\mathrm{}\mathit{z}\mathrm{,}\mathrm{}\mathit{q}\mathrm{)}$

${\lim }_{\mathit{f}\mathrm{\to }\mathrm{\infty }}\frac{\mathit{\nu }\mathrm{\left(}\mathit{t}\mathrm{\right)}}{{\mathit{t}}^{\mathit{q}\mathrm{+}\mathrm{1}}}\mathrm{=}\mathrm{0}{\mathit{\sigma }}_{\mathit{D}}\mathrm{\left(}\mathit{r}\mathrm{\right)}\mathrm{=}\mathit{o}\mathrm{\left(}{\mathit{r}}^{\mathit{\rho }\mathrm{+}\mathrm{2}\mathit{n}\mathrm{-}\mathrm{2}}\mathrm{\right)}$.

$\mathit{D}\mathit{D}\mathit{q}\mathit{q}\mathit{q}\mathit{\sigma }\mathit{D}$, ' ${\mathit{D}}_{\mathrm{\infty }}$. $\mathit{z}\mathrm{=}\mathrm{0}{\mathit{h}}^{\mathrm{*}}\mathrm{\left(}\mathit{z}\mathrm{\right)}{\mathit{h}}^{\mathrm{*}}\mathrm{\left(}\mathit{z}\mathrm{\right)}{\mathit{h}}^{\mathrm{*}}\mathrm{\left(}\mathit{z}\mathrm{\right)}$ (a $\mathrm{\ne }\mathrm{0}$) ${\mathit{I}}_{\mathit{q}}\mathrm{\left(}\mathit{z}\mathrm{\right)}\mathrm{=}\mathit{f}\mathrm{\left(}\mathrm{0}\mathrm{\right)}\mathrm{\ne }\mathrm{0}$. $\mathit{\nu }\mathrm{\left(}\mathit{r}\mathrm{\right)}\mathrm{/}{\mathit{r}}^{\mathit{\rho }}$

${\mathit{P}}_{\mathit{i}}\mathrm{(}\mathit{a}\mathrm{,}\mathrm{}\mathit{z}\mathrm{)}{\mathit{e}}_{\mathit{n}}\mathrm{(}\mathit{a}\mathrm{,}\mathrm{}\mathit{z}\mathrm{,}\mathrm{}\mathit{q}\mathrm{)}$

${\mathit{h}}_{\mathit{n}}\mathrm{(}\mathit{a}\mathrm{,}\mathrm{}\mathit{z}\mathrm{)}\mathrm{=}\frac{\mathrm{1}}{\mathrm{\left|}\mathrm{\right|}\mathit{z}\mathrm{-}\mathit{a}\mathrm{|}{\mathrm{|}}^{\mathrm{2}\mathit{n}\mathrm{-}\mathrm{2}}}\mathrm{(}\mathit{n}\mathrm{\geqq }\mathrm{2}\mathrm{)}{\lim }_{\mathrm{\to }\mathrm{\infty }}\frac{{\mathit{\sigma }}_{{\mathit{D}}_{{\mathit{w}}_{\mathit{i}}}^{\mathrm{\prime }}}^{\mathrm{″}}\mathrm{\left(}\mathit{r}\mathrm{\right)}}{{\mathit{r}}^{\mathit{\rho }\mathrm{+}\mathrm{2}\mathit{n}\mathrm{-}\mathrm{2}}}\mathrm{=}\mathrm{0}$.

$\frac{{\mathit{\sigma }}_{\mathit{K}}\mathrm{\left(}\mathit{r}\mathrm{\right)}}{{\mathit{r}}^{\mathit{\rho }\mathrm{+}\mathrm{2}\mathit{n}\mathrm{-}\mathrm{2}}}\mathrm{\le }{\displaystyle \sum }_{\mathit{i}\mathrm{=}\mathrm{1}}^{\mathit{N}}\frac{{\mathit{\sigma }}_{{\mathit{D}}_{{\mathit{w}}_{\mathit{i}}}^{\mathrm{\prime }}}^{\mathrm{″}}\mathrm{\left(}\mathit{r}\mathrm{\right)}}{{\mathit{r}}^{\mathit{\rho }\mathrm{+}\mathrm{2}\mathit{n}\mathrm{-}\mathrm{2}}}$ ${\mathit{h}}_{\mathit{n}}\mathrm{(}\mathit{a}\mathrm{,}\mathrm{}\mathit{z}\mathrm{)}\mathrm{=}\frac{\mathrm{1}}{\mathrm{\left|}\mathrm{\right|}\mathit{a}\mathrm{|}{\mathrm{|}}^{\mathrm{2}\mathit{n}\mathrm{-}\mathrm{2}}}\mathrm{+}{\mathit{P}}_{\mathrm{1}}\mathrm{(}\mathit{a}\mathrm{,}\mathrm{}\mathit{z}\mathrm{)}\mathrm{+}{\mathit{P}}_{\mathrm{2}}\mathrm{(}\mathit{a}\mathrm{,}\mathrm{}\mathit{z}\mathrm{)}\mathrm{+}\mathrm{\text{...}}{\mathit{P}}_{\mathit{i}}\mathrm{(}\mathit{a}\mathrm{,}\mathrm{}\mathit{z}\mathrm{)}\mathrm{+}\mathrm{\text{...}}$.

$\mathrm{⌟}{\mathit{o}}_{\mathit{n}}\mathrm{(}\mathit{a}\mathrm{,}\mathrm{}\mathit{z}\mathrm{,}\mathrm{}\mathit{q}\mathrm{)}\mathrm{=}\mathrm{-}{\mathit{h}}_{\mathit{n}}\mathrm{(}\mathit{a}\mathrm{,}\mathrm{}\mathit{z}\mathrm{)}\mathrm{+}\frac{\mathrm{1}}{\mathrm{\left|}\mathrm{\right|}\mathit{a}\mathrm{|}{\mathrm{|}}^{\mathrm{2}\mathit{n}\mathrm{-}\mathrm{2}}}\mathrm{+}{\mathit{P}}_{\mathrm{1}}\mathrm{(}\mathit{a}\mathrm{,}\mathrm{}\mathit{z}\mathrm{)}\mathrm{+}$ . . . $\mathrm{+}{\mathit{P}}_{\mathit{q}}\mathrm{(}\mathit{a}\mathrm{,}\mathrm{}\mathit{z}\mathrm{)}$ .

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