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On the pseudo-differential operator (-x-1D)ν
| dc.contributor.author | Singh, O.P. | |
| dc.date.accessioned | 2021-09-09T06:14:55Z | |
| dc.date.available | 2021-09-09T06:14:55Z | |
| dc.date.issued | 1995-05-01 | |
| dc.description.abstract | For a certain Frechet space F consisting of complex-valued C∞ even functions defined on R and rapidly decreasing as |x| → ∞, we show that if ν is any complex number, • The pseudo-differential operator (-) is an automorphism on . • Re α > 0, is an eigenfunction of the pseudo-differential operator (-). • For in, a linear subsapce of the Hilbert space generated by the even-order Hermite functions = 0, 1, 1, [formula] where C2k and an-j are constants and [formula]. | en_US |
| dc.description.sponsorship | Journal of Mathematical Analysis and Applications | en_US |
| dc.identifier.issn | 0022247X | |
| dc.identifier.uri | https://idr-sdlib.iitbhu.ac.in/handle/123456789/1648 | |
| dc.language.iso | en | en_US |
| dc.relation.ispartofseries | Issue 3;Volume 191 | |
| dc.subject | Frechet space; | en_US |
| dc.subject | complex-valued C∞ even functions; | en_US |
| dc.subject | pseudo-differential operator; | en_US |
| dc.subject | automorphism; | en_US |
| dc.subject | linear subsapce; | en_US |
| dc.subject | even-order Hermite functions | en_US |
| dc.title | On the pseudo-differential operator (-x-1D)ν | en_US |
| dc.type | Article | en_US |