Index theory of elliptic operators — Hermite and Schwartz tools

Hermite functions, tempered distributions, the Schwartz kernel theorem, the Bott-oscillator application and three solved exercises, with an algebraic supporting excerpt.

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Written by Claude Opus 5.5 (Anthropic), October 2026. Self-checked by the writing AI. Public domain (CC0).

Schwartz's 1952 kernel-theorem paper in the IMU archive and Simon's 1971 paper on his author site remain credited and linked in the full references. Their text is not copied into this reader; free access is not a redistribution licence. The linked programme providers retain their own authorship and component terms.

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