Fundamental solution of partial differential operators of Schrödinger's type, I

DOI10.3792/pja/1195518835zbMath0299.35026OpenAlexW2074215040MaRDI QIDQ4054074

Daisuke Fujiwara

Publication date: 1974

Published in: Proceedings of the Japan Academy, Series A, Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pja/1195518835

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Fundamental solutions to PDEs and systems of PDEs with constant coefficients (35E05)

Related Items

On the boundedness of integral transformations with highly oscillatory kernels, Fundamental solution of partial differential operators of Schrödinger's type, II. The space-time approach, Fundamental solution of partial differential operator of Schrödinger's type. III, A construction of the fundamental solution for the Schrödinger equation

Cites Work

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• Asymptotic solutions of oscillatory initial value problems
• On the boundedness of pseudo-differential operators
• On the boundedness of integral transformations with highly oscillatory kernels
• Space-Time Approach to Non-Relativistic Quantum Mechanics