On the pseudo-differential operator (-x-1D)ν

Singh, O.P.

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.identifier.issn	0022247X
dc.identifier.uri	http://localhost:8080/xmlui/handle/123456789/1648
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.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