S. Ivan Trapasso

@article{CNT_JFAA_19,

title = {Almost diagonalization of τ-pseudodifferential operators with symbols in Wiener amalgam and modulation spaces},

author = {Elena Cordero and Fabio Nicola and S. Ivan Trapasso},

url = {https://arxiv.org/abs/1802.10314, arXiv},

doi = {10.1007/s00041-018-09651-z},

year  = {2019},

date = {2019-08-15},

urldate = {2019-08-15},

journal = {J. Fourier Anal. Appl.},

volume = {25},

number = {4},

pages = {1927–1957},

publisher = {Springer US},

abstract = {In this paper we focus on the almost-diagonalization properties of (tau)-pseudodifferential operators using techniques from time-frequency analysis. Our function spaces are modulation spaces and the special class of Wiener amalgam spaces arising by considering the action of the Fourier transform of modulation spaces. A particular example is provided by the Sjöstrand class, for which Gröchenig exhibited the almost diagonalization of Weyl operators. We shall show that such result can be extended to any (tau)-pseudodifferential operator, for (tau in [0,1]), also with symbol in weighted Wiener amalgam spaces. As a consequence, we infer boundedness, algebra and Wiener properties for (tau)-pseudodifferential operators on Wiener amalgam and modulation spaces.},

keywords = {almost diagonalization, harmonic analysis, modulation spaces, pseudodifferential operators, time-frequency analysis},

pubstate = {published},

tppubtype = {article}

}