Jacquet-Langlands对应是Langlands纲领一个重要的函子性原则。罗杰·戈德门特著季理真主编的《雅凯-朗兰兹理论(英文版)(精)》由自守表示法国学派创始人戈德门特给出的Jacquet-Langlands对应完整的介绍，从自守表示最基本的结论出发，讲到L函数反定理。

1 Representations of the GL2 Group of a p-adic Field
1. Admissible representations
2. The Kirillov model: preliminary construction
3. The commutativity lemma
4. The finiteness property
5. Whittaker functions
6. A theorem on the contragredient of a representation
7. Supercuspidal representations
8. Introduction to the principal series
9. A lemma on Fourier transforms
10. The principal series and the special representations
11. The equivalence πu1，u2-πu2，u1
12. The fundamental functional equation
13. Computation of yπ(x, s) for the principal series and the
special representations
14. The local factors Lπ(X, s)
15. The factors eπ(X, s)
16. The case of spherical representations
17. Unitary representations: results
18. Unitary representations: the supercuspidal case
19. Unitary representations in the principal series
20. Unitary representations: the special case
2 The Archimedean Case
1. Admissible representations
2. The representations Pu1，u2
3. Irreducible components of Pu1，u2 (case F = R)
4. Irreducible components of Pu1,u2 (case F=C)
5. Kirillov model for an irreducible representation
6. The functions Lw(g; X, s)
7. Factors Ln(X,s)
8. Factors eπ(X, s)
3 The Global Theory
1. Parabolic forms
2. Local decomposition of an irreducible representation of GA.
3. The global Hecke algebra
4. Global Whittaker models
5. The multiplicity one theorem
6. Euler product attached to an irreducible representation of GA
7. The functional equation for Lπ(X, s)
8. The converse of Theorem 4