"Jacobi operators and completely integrable nonlinear lattices (errata)" - читать интересную книгу автора (Teschl G.)
Errata for Jacobi operators
[ Uni Wien |
Math Dep |
Publications|
Teaching|
Contents|
Home ]
Errata for
Jacobi Operators
and
Completely Integrable Nonlinear Lattices
Gerald Teschl
- p342, Ref. [232]: "pPapers" should read "Papers"
- p118, Thm 7.3(ii): the square from $\Delta(z)^2$ should be removed
- 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): $E_{\ell-1}$ should read $E_{2\ell-1}$ 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 $E_0, E_1, E_2$, respectivley
- 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 in
the 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 $\pm$
- p182, (10.116): $k_\ell^{....+\ell}$ must be changed to $k_\ell^{....+j}$ in both lines
- 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 and $n\to+\infty$ in the second
line.
- p172, (10.34): The sign of the sum must be changed.
- p174, line after (10.50): |W(...)|/2 should read 2|W(...)|
[ Uni Wien |
Math Dep |
Publications|
Teaching|
Contents|
Home ]
Errata for Jacobi operators
[ Uni Wien |
Math Dep |
Publications|
Teaching|
Contents|
Home ]
Errata for
Jacobi Operators
and
Completely Integrable Nonlinear Lattices
Gerald Teschl
- p342, Ref. [232]: "pPapers" should read "Papers"
- p118, Thm 7.3(ii): the square from $\Delta(z)^2$ should be removed
- 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): $E_{\ell-1}$ should read $E_{2\ell-1}$ 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 $E_0, E_1, E_2$, respectivley
- 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 in
the 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 $\pm$
- p182, (10.116): $k_\ell^{....+\ell}$ must be changed to $k_\ell^{....+j}$ in both lines
- 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 and $n\to+\infty$ in the second
line.
- p172, (10.34): The sign of the sum must be changed.
- p174, line after (10.50): |W(...)|/2 should read 2|W(...)|
[ Uni Wien |
Math Dep |
Publications|
Teaching|
Contents|
Home ]
|