On a Class of h-Fourier Integral Operators
Copyright policy )On a Class of h-Fourier Integral Operators
Abstract In this paper, we study the L2-boundedness and L2-compactness of a class of h-Fourier integral operators. These operators are bounded (respectively compact) if the weight of the amplitude is bounded (respectively tends to 0).
Artificial intelligence, Class (philosophy), Fourier inversion theorem, Mathematical analysis, Mathematics - Analysis of PDEs, Harmonic Analysis and Operator Theory, QA1-939, FOS: Mathematics, Fourier integral operator, symbol and phase, Algebra over a field, $h$-Fourier integral operators, $h$-pseudodifferential operators, symbol and phase, Applied Mathematics, Fractional Fourier Transform Analysis, Pure mathematics, Operator theory, Computer science, Nonlocal Partial Differential Equations and Boundary Value Problems, Fourier analysis, Fractional Fourier transform, Singular Integrals, Physical Sciences, Fourier transform, h-pseudodifferential operators, and phrases: h-Fourier integral operators, Mathematics, Analysis of PDEs (math.AP)
Artificial intelligence, Class (philosophy), Fourier inversion theorem, Mathematical analysis, Mathematics - Analysis of PDEs, Harmonic Analysis and Operator Theory, QA1-939, FOS: Mathematics, Fourier integral operator, symbol and phase, Algebra over a field, $h$-Fourier integral operators, $h$-pseudodifferential operators, symbol and phase, Applied Mathematics, Fractional Fourier Transform Analysis, Pure mathematics, Operator theory, Computer science, Nonlocal Partial Differential Equations and Boundary Value Problems, Fourier analysis, Fractional Fourier transform, Singular Integrals, Physical Sciences, Fourier transform, h-pseudodifferential operators, and phrases: h-Fourier integral operators, Mathematics, Analysis of PDEs (math.AP)
citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).8 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!