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Polynomially oscillatory multipliers on Gelfand-Shilov spaces

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Autor(es):
Arias Junior, Alexandre ; Wahlberg, Patrik
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: Mathematische Nachrichten; v. N/A, p. 25-pg., 2025-12-08.
Resumo

We study continuity of the multiplier operator acting on Gelfand-Shilov spaces, where is a polynomial on of degree at least two with real coefficients. In the parameter quadrant for the spaces, we identify a wedge that depends on the polynomial degree for which the operator is continuous. We also show that in a large part of the complement region the operator is not continuous in dimension one. The results give information on well-posedness for linear evolution equations that generalize the Schr & ouml;dinger equation for the free particle. (AU)

Processo FAPESP: 22/01712-3 - Comportamento assintótico para soluções do problema de Cauchy para sistemas de equações diferenciais parciais de evolução
Beneficiário:Alexandre Arias Junior
Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado