some references

 SOME REFERENCES

B. Roberts, The theta correspondence for similitudes, Israel Journal of Mathematics, 94 no. 1, 285 - 317.

D. Prasad, A brief survey of the theta correspondence, http://www.math.tifr.res.in/~prasad/

D. Prasad, Weil representation, Howe duality, and the theta correspondence, http://www.math.tifr.res.in/~dprasad/

C. Moeglin, M.-F. Vigneras, J.-L. Waldspurger, Correspondence de Howe sur un corps p-adique, Lecture Notes in Mathematics 1291, Springer-Verlag, Berlin, 1987.

S. Kudla, Seesaw reductive pairs, Automorphic forms of several variables (Kataka 1983), 244 - 269, Progress in Mathematics 46, Birhaüser, Boston, 1984.

S.Kudla, Notes on the local theta correspondence, available at: http://www.math.toronto.edu/~skudla/castle.pdf 

S. Kudla, Some extensions of the Siegel-Weil formula

J.L.-Waldspurger, Engendrement par des séries thêta de certaine espaces de formes modulaires, Invent. math. 50 (1978/79) 2, 135 - 168.

J.L.-Waldspurger, Sur les valeurs de certaines fontions L automorphes en leur centre de symétrie, Compositio 54 (1985) 2, 173 - 242.

X. Yuan, W. Yuan, S.-W. Zhang, The Gross-Kohnen-Zagies Theorem over totally real fields, http://math.columbia.edu/szhang/

X. Yuan, W. Yuan, S.-W. Zhang, Heights of CM points I: Gross-Zagier formula, http://math.columbia.edu/szhang/