Index of notations

Reference numbers indicate, in order, the chapter, section and subsection.

Chapter VII:

$\gamma_X(s) ,\ \gamma(s)$: VII, 1, 1. $\gamma(s)f ,\ \gamma(s)\mu$ ($f$ a function, $\mu$ a measure): VII, 1, 1. $d\mu(s^{-1}x)$: VII, 1, 1. $\delta_X(s) ,\ \delta(s) ,\ \delta(s)f ,\ \delta(s)\mu,\ d\mu(xs)$: VII, 1, 1. $\check{f} ,\ \check{\mu} ,\ d\mu(x^{-1})$ ($f$ a function, $\mu$ a measure): VII, 1, 1. $\Delta_G ,\ \Delta$: VII, 1, 3. $\mathrm{mod}_G \varphi ,\ \mathrm{mod}\varphi$ ($\varphi$ an automorphism): VII, 1, 4. $\mathbf{Z}_p$ ($p$ a prime number): VII, 1, 6. $K^+$ ($K$ a field): VII, 1, 10. $\mathrm{mod}_K a ,\ \mathrm{mod}\ a$ ($a$ an element of a locally compact field $K$): VII, 1, 10. $\mathscr{H}^\chi(X) ,\ \mathscr{H}_+^\chi(X) ,\ \mathscr{H}^1(X) ,\ f^\chi ,\ f^1$ ($X$ a locally compact space in which a locally compact group $H$ operates, $\chi$ a continuous representation of $H$ in $\mathbf{R}_+^*$): VII, 2, 1. $f^b$: VII, 2, 2. $\lambda^\# ,\ \frac{\mu}{\beta} ,\ \mu/\beta$: VII, 2, 2. $m^\#$ ($m$ a vectorial measure): VII, 2, 2. $T_J ,\ T_1(n,K) ,\ T(n,K) ,\ T(n,K)^*$: VII, 3, 3.

Chapter VIII:

$*_{i=1}^n \mu_i ,\ *\varphi(\mu_i)_{1 \leq i \leq n} ,\ \mu_1 * \mu_2 * \cdots * \mu_n$: VIII, 1, 1. $\gamma_\chi$: VIII, 2, 3 and VIII, 2, 4. $\gamma_{\chi,p}$: VIII, 2, 5. $U(\mu)$ ($U$ a representation of a locally compact group $G$, $\mu$ a measure on $G$): VIII, 2, 6. $\mathscr{M}^\rho(G)$ ($G$ a locally compact group): VIII, 3, 1. $\mu *^\beta f ,\ \mu * f$ ($\mu$ a measure, $f$ a function): VIII, 4, 1. $\mathscr{L}(G)$ ($G$ a locally compact group): VIII, 4, 5. $\mathscr{U}_s^\infty(G)$ ($G$ a locally compact group): VIII, 4, Exer. 21.

Chapter IX:

\mathscr{F}_+(T), \mathscr{F}_+, f_A, f^0: preliminary conventions. \pi(p), p_A \text{ or } p|A: IX, 1, 1. $\mathscr{P}(T; \mathbf{C}), \mathscr{P}(T; \mathbf{R}), \mathscr{P}(T), \mathscr{P}_+(T)$ : IX, 1, 2. w^\bullet(f), \int^\bullet f dw, \int^\bullet f(t) dw(t): IX, 1, 2. $w^\bullet, w_K^\bullet$ : IX, 1, 2. $w^+, w^-, |w|$ : IX, 1, 2. \mu(f), \mu(A): IX, 1, 5. \operatorname{Supp}(\mu): IX, 1, 6. $\sum_{i \in I} \mu_i$ : IX, 1, 7. \mu^*(f), \mu^*(A), \int^* f d\mu, \int^* f(t) d\mu(t): IX, 1, 9. $\mu^*$ : IX, 1, 9. \overline{\mathscr{L}}^p(T, \mu), \overline{\mathscr{L}}_F^p(T, \mu), \mathscr{L}^p(T, \mu), \mathscr{L}_F^p(T, \mu) \text{ (for } 1 \leq p \leq +\infty): IX, 1, 10. $\overline{\mathscr{L}}_F^p(\mu), \overline{\mathscr{L}}_F^p, \overline{\mathscr{L}}^p, \overline{\mathscr{L}}^p(\mu), \mathscr{L}^p(\mu), \mathscr{L}^p$ : IX, 1, 10. $\overline{N}_p(f), N_p(f), \overline{\mathscr{N}}_F, \mathscr{N}_F$ : IX, 1, 10. $L_F^p(\mu), L_F^p$ : IX, 1, 10. $\int f d\mu, \mu(f), \int f(t) d\mu(t)$ : IX, 1, 10. $\mu_X^\bullet, \mu_X, \mu|X$ : IX, 2, 1. $f \cdot \mu$ : IX, 2, 2. \pi(\mu): IX, 2, 3. $\lambda \otimes \mu$ : IX, 2, 5. \mathscr{K}(T), \mathscr{B}(T): conventions of §3. \mathscr{C}^b(T; F), \mathscr{C}^b(T), \mathscr{C}^b, \mathscr{C}_+^b(T), \mathscr{C}_+^b: conventions of §5. \mathscr{M}^b(T; \mathbf{C}), \mathscr{M}^b(T), \mathscr{M}^b, \mathscr{M}_+^b(T), \mathscr{M}_+^b: conventions of §5. $\mathscr{L}\mu$ : IX, 5, 7. $\mathscr{F}(E)$ : IX, 6, 1. p_V, p_{VW}: IX, 6, 1. $\mathscr{Q}(E)$ : IX, 6, 1. $\tilde{\lambda}$ : IX, 6, 1. u(\mu) (\mu \text{ a promeasure}): IX, 6, 2. \mathscr{F}\mu (\mu \text{ a promeasure or a measure}): IX, 6, 3. $\Gamma_Q, \gamma_a$ : IX, 6, 5. $\gamma_C$ : IX, 6, 6. \operatorname{Tr}(Q/H): IX, Annex, 1. u^*: IX, Annex, 2.