A Generalized Fourier Transform and Its Applications

DOI10.1080/10652460213521zbMath1018.42007OpenAlexW1974887299MaRDI QIDQ4782662

Shuji Watanabe

Publication date: 2 December 2002

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460213521

zbMATH Keywords

wave equationSchrödinger equationsCauchy problemsheat equationsgeneralized Fourier transformstrongly singular potentialsstrongly singular coefficientsspaces of Sobolev type

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Degenerate parabolic equations (35K65) PDEs in connection with quantum mechanics (35Q40) Solutions to PDEs in closed form (35C05)

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