References

[1 ] BONGIOANNI, B. ;ROGERS, K. M. Regularity of the Schrödinger equation for the harmonics

oscillator. Arkiv . Math .(49) ,2011,pp.217-238.

[ 2 ] D'ANCONA , P. ; PIERFELICE , V. ; RICCI , F. On the wave equation associated to the Hermite

and the twisted Laplacian. J. Fourier Anal. And Appl. (2010), Vol. 16, pp. 294-310.

[ 3 ] IBRAHIM , I. On eigenfunction expansions of the Hermite differential operator on ℝ .Int . Trans.

spec. Funct. Vol (13) ,2002 ,pp.555-574.

[ 4 ] KESAVAN , S. Topics in Functional Analysis and Applications.Wiley Eastern limited , new

Delhi,1989.267P.

[ 5 ] NANDAKUMAEAN , A. K. ; RATNAKUMAR , P. K. Schrödinger equation and the oscillatory

semigroup for the Hermite operator.

[ 7 ] NARAYNAN ,E.K. ; THANGAVELU,S. On the equisummability of Hermite and Fourier

Expansions.Proc .Indian Acad. Sci. (Math. Sci. ) vol. 111. No. 1 , February 2001. pp 45 – 106 .

[ 8 ] ROE, J. Elliptic Operators, Topology and Asymptotic Methods, second eddition. Longman,

London 1998.207P.

[ 9 ] SAMUEL, S. ; HOLLAND, J. Applied Analysis by the Hilbert Space Method: An Introduction to

the Wave, Heat, and Schrödinger Equations.Dover Publications , New York 2007.

[10 ] SEN , M . : POWERS , J. M. Lecture Notes on Mathematical Methods .University of Notre Dame

, Indiana , USA , 2012 .502P.

[11 ] SIMON , B. :Schrödinger operators in the twentieth century .J . Math . phys . vol 41(6),

2000,pp.3523 -3555.

[12 ] SJöGREN ,P.;TORREA, J.L.On the boundary convergence of solutions to the Hermite

Schrödinger equation .

[13 ] TRIEBEL , H. Higher Analysis . J. A. Parth , Liepzig , 1993 .473P.

[14 ] BREZIS, H. Functional Analysis, Sobolev Spaces and Partial Differential Equations. Springer,

Berlin 2011 . 614P.

[15 ] KAPLAN, W. Advanced Calculus, Fifth Edition.Publishing House of Electronics Industry 2010

.754P.