aaa above alternative An and and and and and and and as as

be before BULLET1N

$\mathrm{\cup }\mathrm{\cap }\mathrm{a}\mathrm{n}$ CANON1CAL computation computation) compute compute constants correspond

DE DE

oqual equal expressed expression

[irst first following For for for for FRANCE function function function

general

hence hence H0M0T0PY

$\mathrm{1}\mathrm{f}$ In In in in in in independent invariance) involve is is is is is is is it

Jacobi

kernels

LA last logarithm.

$\mathrm{\bigvee }\mathrm{1}\mathrm{A}\mathrm{T}\mathrm{H}\stackrel{\mathrm{´}}{\mathrm{E}}$ MATIQUE mare

$\mathit{q}\mathrm{=}\mathit{a}\mathrm{+}$ d4 A $\mathit{b}\mathrm{,}$ ${\mathit{k}}_{\mathit{\alpha }}^{\mathit{q}}\mathrm{=}{\mathrm{\partial }}_{\mathit{\zeta }}{\mathit{h}}_{\mathit{\alpha }}^{\mathit{q}}$. $\log$( $\mathrm{1}\mathrm{-}$ a . $\overline{\mathit{z}}$)

$\mathrm{!}\mathit{L}\mathrm{\Phi }$ I $\mathit{c}$. ${\mathit{h}}_{\mathit{\alpha }}^{\mathit{q}}{\mathit{k}}_{\mathrm{(}\mathit{X}}^{\mathit{q}}\mathit{q}\mathrm{>}\mathrm{0}{\mathit{h}}_{\mathit{\alpha }}^{\mathrm{0}}$, A $\mathit{\alpha }\mathit{q}$ . $\mathrm{\left|}\mathit{a}{\mathrm{|}}^{\mathrm{2}}{\mathit{c}}_{\mathit{n}\mathrm{,}\mathit{q}\mathrm{,}\mathit{c}\mathit{x}}\mathrm{\Phi }\mathrm{\right(}\mathrm{0}\mathrm{)}\mathrm{=}\mathrm{0}\mathit{q}\mathrm{>}\mathrm{0}\mathrm{,}$ ${\mathit{h}}_{\mathit{\alpha }}^{\mathit{q}}{\mathit{h}}_{\mathit{\alpha }}\mathrm{(}\mathit{\zeta }\mathrm{,}\mathrm{}\mathit{z}\mathrm{)}\mathrm{=}\mathrm{\Phi }\mathrm{\left(}\mathrm{\right|}\mathit{a}{\mathrm{|}}^{\mathrm{2}}\mathrm{)}$,

${\mathrm{b}}_{\mathit{\alpha }}^{\mathit{q}}\mathrm{(}\mathit{z}\mathrm{,}\mathrm{}\mathit{\zeta }\mathrm{)}\mathrm{=}\mathrm{(}\mathrm{-}\mathrm{1}{\mathrm{)}}^{\mathit{q}}\overline{{\mathit{h}}_{\mathit{\alpha }}^{\mathit{q}}\mathrm{(}\mathit{\zeta }\mathrm{,}\mathit{z}\mathrm{)}}$

${\mathrm{(}}^{\mathit{a}\mathrm{(}\mathit{\zeta }\mathrm{,}\mathit{\xi }\mathrm{)}\mathrm{-}}\mathrm{(}\frac{\overline{\mathit{\xi }}}{\mathrm{-}\mathit{\rho }}\overline{\mathrm{\partial }}\mathit{\rho }\mathrm{\wedge }\mathit{b}\mathrm{(}\mathit{\zeta }\mathrm{,}\mathrm{}\mathit{\xi }\mathrm{\left)}\mathrm{\right)}\mathrm{d}\mathit{\lambda }\mathrm{\left(}\mathit{\xi }\mathrm{\right)}\mathrm{,}$ $\mathrm{\partial }{\mathit{m}}_{\mathit{\alpha }\mathrm{,}\mathit{j}\mathrm{,}\mathit{k}}\mathrm{=}\frac{\mathit{j}\mathit{k}}{\mathit{\alpha }}{\mathit{m}}_{\mathit{\alpha }\mathrm{+}\mathrm{1}\mathrm{,}\mathit{j}\mathrm{+}\mathrm{1}\mathrm{,}\mathit{k}\mathrm{+}\mathrm{1}}\mathrm{\partial }\mathrm{|}\mathit{a}{\mathrm{|}}^{\mathrm{2}}$.

$\mathrm{\setminus }\mathrm{\prime }\tilde{\mathit{f}}\mathrm{,}$ $\mathit{a}\mathrm{+}\mathrm{d}\overline{\mathit{\xi }}\mathrm{\wedge }\mathit{b}{\mathrm{⟩}}^{\mathrm{\sim }}\mathrm{=}\mathrm{⟨}\mathit{f}\mathrm{,}\mathrm{}\mathit{a}\mathrm{⟩}\mathrm{-}\frac{\mathit{\xi }}{\mathrm{-}\mathit{\rho }}$ $\mathrm{⟨}\mathit{f}\mathrm{,}\overline{\mathrm{\partial }}\mathit{\rho }\mathrm{\wedge }\mathit{b}\mathrm{⟩}\mathrm{,}$ $\mathit{M}\mathit{g}\mathrm{\left(}\mathit{\zeta }\mathrm{\right)}\mathrm{=}\frac{\mathit{\alpha }\mathrm{-}\mathrm{1}}{\mathit{\pi }}{{\displaystyle \int }}_{\mathrm{\left|}\mathit{\xi }\mathrm{\right|}\mathrm{<}\sqrt{\mathrm{-}\mathit{\rho }}}\mathrm{(}\mathrm{-}\mathit{\rho }{\mathrm{)}}^{\mathrm{-}\mathrm{(}\mathit{\alpha }\mathrm{-}\mathrm{1}\mathrm{)}}\mathrm{(}\mathrm{-}\mathit{\rho }\mathrm{-}\mathrm{|}\mathit{\xi }{\mathrm{|}}^{\mathrm{2}}{\mathrm{)}}^{\mathit{\alpha }\mathrm{-}\mathrm{2}}$

$\frac{\mathit{\alpha }\mathrm{-}\mathrm{1}}{\mathit{\pi }}{{\displaystyle \int }}_{\mathrm{\left|}\mathit{\tau }\mathrm{\right|}\mathrm{<}\mathrm{1}}\frac{\mathrm{(}\mathrm{1}\mathrm{-}\mathrm{|}\mathit{\tau }{\mathrm{|}}^{\mathrm{2}}{\mathrm{)}}^{\mathit{\alpha }\mathrm{-}\mathrm{2}}\log \mathrm{(}\mathrm{1}\mathrm{-}\overline{\mathit{a}}\mathit{\tau }\mathrm{)}\mathrm{d}\mathit{m}\mathrm{\left(}\mathit{\tau }\mathrm{\right)}}{\mathrm{(}\mathrm{1}\mathrm{-}\mathit{a}\overline{\mathit{\tau }}{\mathrm{)}}^{\mathit{\alpha }\mathrm{+}\mathit{n}\mathrm{-}\mathrm{1}}}{\mathrm{\Phi }}^{\mathrm{\prime }}\mathrm{\left(}\mathrm{\right|}\mathit{a}{\mathrm{|}}^{\mathrm{2}}\mathrm{)}\mathrm{=}\frac{\mathit{\alpha }\mathrm{+}\mathit{n}}{\mathit{\pi }}{{\displaystyle \int }}_{\mathrm{\left|}\mathit{\tau }\mathrm{\right|}\mathrm{<}\mathrm{1}}\frac{\mathrm{(}\mathrm{1}\mathrm{-}\mathrm{|}\mathit{\tau }{\mathrm{|}}^{\mathrm{2}}{\mathrm{)}}^{\mathit{\alpha }\mathrm{-}\mathrm{1}}\mathrm{d}\mathit{m}\mathrm{\left(}\mathit{\tau }\mathrm{\right)}}{\mathrm{(}\mathrm{1}\mathrm{-}\overline{\mathit{\tau }}\mathit{a}{\mathrm{)}}^{\mathit{\alpha }\mathrm{+}\mathit{n}}\mathrm{(}\mathrm{1}\mathrm{-}\mathit{\tau }\overline{\mathit{a}}\mathrm{)}}$.

$\frac{{\mathit{c}}_{\mathit{n}\mathrm{,}\mathrm{0}\mathrm{,}\mathit{\alpha }}}{\mathrm{(}\mathrm{1}\mathrm{-}\overline{\mathit{\zeta }}\mathrm{ċ}\mathit{z}{\mathrm{)}}^{\mathit{\alpha }\mathrm{+}\mathit{n}\mathrm{-}\mathrm{1}}}{{\displaystyle \int }}_{\mathrm{\left|}\mathit{\tau }\mathrm{\right|}\mathrm{<}\mathrm{1}}\frac{\mathrm{(}\mathrm{1}\mathrm{-}\mathrm{|}\mathit{\tau }{\mathrm{|}}^{\mathrm{2}}{\mathrm{)}}^{\mathit{\alpha }\mathrm{-}\mathrm{2}}\mathrm{\left[}\log \mathrm{\right(}\mathrm{1}\mathrm{-}\mathit{\zeta }\mathrm{ċ}\overline{\mathit{z}}\mathrm{)}\mathrm{+}\log \mathrm{(}\mathrm{1}\mathrm{-}\overline{\mathit{a}}\mathit{\tau }\mathrm{\left)}\mathrm{\right]}\mathrm{d}\mathit{m}\mathrm{\left(}\mathit{\tau }\mathrm{\right)}}{\mathrm{(}\mathrm{1}\mathrm{-}\mathit{a}\overline{\mathit{\tau }}{\mathrm{)}}^{\mathit{\alpha }\mathrm{+}\mathit{n}\mathrm{-}\mathrm{l}}}$

need notice

obtained of of of of of OPERATORS operators.

265 5.4.-We 6. (4.1), (5.9) (because (by -

polynomials Proof Proposition

rational real REMARK rotation

$\mathrm{\supset }\mathrm{a}\mathrm{⌝}\mathrm{m}\mathrm{e}$ same satisfy self-adjoint simple slightly S0CIEacuteTEacute some

term term terms that that that The The the the the the the the then Therefore these

they to to to to to to

use

version

wag wag way. where which will worth