Section 5

Functions on N

• Overview
• 5a. Automorphisms; §2.3.
• 5b. Schrödinger representation; §2.3.1
• 5c. Theta functions; §2.3.2, checks of (2.49), (2.54), (2.55)
• 5d. Integration of theta functions; check of (2.45)
• 5e. Hermite functions; §2.3.2, Table 2.3, check of (2.60)
• 5f. Relations for normalized Hermite functions; check of Table 2.4
• 5g. Operator B; computations for the discussion of the metaplectic action in §3.3.2

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