
Errata for Jacobi Operators andCompletely Integrable Nonlinear Lattices Gerald TeschlBook Web Pages  AMS Bookstore Book Web Pages
Page numbers are as found in the published book.  p342, Ref. [232]: "pPapers" should read "Papers"
 p118, Thm 7.3(ii): the square should be removed from $\Delta(z)^2$
 p116, (7.7): $M(z,n_0)$ should be replaced by $M(z,n_0)^{1}$
 p22, (1.136): should read l.h.s. =  r.h.s. =  r.h.s.
 p25, (1.154): should read l.h.s. =  r.h.s.
 p147, proof of Lemma 8.15: "(8.81) and (8.81)" should read"(8.78) and (8.81)"
 p150, (8.108): a factor $4a(n)^2$ is missing on the r.h.s.
 p158, line after (9.39): a factor $\mathbb{R}$ should read $\mathbb{R}^g$
 p. 295: lines after (A.122): $E_{\ell1}$ should read $E_{2\ell1}$ and$E_{\ell}$ should read $E_{2\ell}$
 p285, line after (A.79): "picture on page 2" should read "picture on page 275"
 p248, first line: "cart" should read "chart"
 p158, paragraph after (9.41) : replace $E_1, E_2, E_3$ by $E_0, E_1, E_2$, respectively
 p131, lines before (7.114): replace "(2.124)" by "(2.131)"
 p131, (7.114): $U_i(\lambda,m)$ should read $\overline{U_i(\lambda,m)}$. Similarly inthe following line and in (7.115)
 p71, (3.85): The square around the sum is missing
 p128, Thm 7.11: In the last statement $H_p$ should be replaced by $H$
 p47, (2.153): a factor $1/\pi$ is missing on the r.h.s.
 p127, (7.86): $\lim_{n\to \infty}$ should read $\lim_{n\to \pm\infty}$
 p127, (7.87): the sign in front of the sum must be switched from $\mp$ to $\pm$
 p183, (10.116): $k_\ell^{....+\ell}$ must be changed to $k_\ell^{....+j}$ in both lines
 p183, (10.117): the upper limit $\infty$ in the first sum is missing
 p171, (10.32): The sign of the sum must be changed.
 p172, second line: $f_\pm(k,n) = k^{\mp n} (....)$ should read $f_\pm(k,n) = k^{\pm n} (....)$
 p172, (10.33): the constant terms $\frac{1}{2}\alpha(k)$ respectively $\frac{1}{2 k^2}\alpha(k)$must be switched. Moreover it should read $m\to\infty$ in the first line and $n\to+\infty$ in the secondline.
 p172, (10.34): The sign of the sum must be changed.
 p174, line after (10.50): W(...)/2 should read 2W(...)
 p58, Thm 3.2: the last sentence should read "The spectrum of $H_+$ is simple."
 p185, (11.1): there is a minus missing on the r.h.s (both times)
 p185, (11.23): there is a minus missing on the r.h.s
 p99, first line after the proof of Lemma 5.18: the second Weyl $m$function should havea minus sign instead of a plus sign in the subscript
 p118, (7.29) should read $\phi_\pm(z,n)=$ and not $\phi_\pm(z,n_0)=$
 p250, (13.72): in the formula for $R_\pm$ there is a 2 missing in the exponential
 p251, (13.76): the norm should be squared
 p179, Thm 10.10: the proof for the claim that $\mathcal{F}$ is trace class is wrong
 p293, Lem A.6: the definition of $\tilde{D}$ must be changed if $p$ is a branch point:$\tilde{D}(p)= \lfloor\frac{D(p)+1}{2}\rfloor$
 p267, Thm 14.13: the TL after (14.86) should read TL_{r}. Similarly in Thm 14.14after (14.88)
 p264, (14.66)(14.68): $\tau_{+\infty,\infty}$ should be $\omega_{\infty_+,\infty_}$
 p194, (11.59)(11.61),(11.66): $\tau_{\infty_+,\infty_}$ should be $\omega_{\infty_+,\infty_}$
 p195, line after (11.67): $2[...] \in J(M)$ should read $2[...] = [0]$
 p252, line after (13.83): the reference (7.30) should point to (6.26)
 p254, (13.99): the plus signs inside sn(...) should be a minus sign
 p159, (9.43): it should be $\tilde{a}^{1}=...$
 p247, (13.51): $\tilde{f}_{s\ell}(n,t)$ should read $\tilde{g}_{s\ell}(n,t)$
 p175, (10.61): $\cos(m \mathrm{E}^{\mathrm{i} \varphi}$ should read $\cos(m \varphi)$
 p254, (13.96): $(E_1E_3)$ should read $(E_3E_1)$

