On the Asymptotics of Fourier Coefficients for the Potential in Hill's Equation

Haskız COŞKUN

Makale detayları

On the Asymptotics of Fourier Coefficients for the Potential in Hill's Equation

Yazarlar:

Haskız COŞKUN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2000 Vol.24 Issue 1, pp.15-24

Belge Tipi:

Makale

Yayın Tarihi:

12/1999

Belge Dili:

Türkçe

Document ID (Org No.):

2000749230

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Anahtar kelimeler:

Özet:

 

We consider Hill's equation y'' +(l -q)y=0 where q\in L1[0,p ]. We show that if ln-the length of the n-th instability interval- is of order O(n-k) then the real Fourier coefficients an,bn of q are of the same order for(k=1,2,3), which in turn implies that q(k-2), the (k-2)th derivative of q, is absolutely continuous almost everywhere for k=2,3.

 

We consider Hill's equation y'' +(l -q)y=0 where q\in L1[0,p ]. We show that if ln-the length of the n-th instability interval- is of order O(n-k) then the real Fourier coefficients an,bn of q are of the same order for(k=1,2,3), which in turn implies that q(k-2), the (k-2)th derivative of q, is absolutely continuous almost everywhere for k=2,3.

Makale detayları

On the Asymptotics of Fourier Coefficients for the Potential in Hill's Equation

Yazarlar:

Haskız COŞKUN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2000 Vol.24 Issue 1, pp.15-24

Belge Tipi:

Makale

Yayın Tarihi:

12/1999

Belge Dili:

Türkçe

Document ID (Org No.):

2000749230

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Turk. J. Math.

24

(2000)

15-24. Full text: pdf Other articles published in the same issue: Turk. J. Math.

vol.24

iss.1.

Sayı

Makale detayları

On the Asymptotics of Fourier Coefficients for the Potential in Hill's Equation

Yazarlar: Haskız COŞKUN

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2000 Vol.24 Issue 1, pp.15-24

Belge Tipi: Makale

Yayın Tarihi: 12/1999

Belge Dili: Türkçe

Document ID (Org No.): 2000749230

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Turk. J. Math.

24

(2000)

15-24. Full text: pdf Other articles published in the same issue: Turk. J. Math.

vol.24

iss.1.

Sayı

Yazarlar:

Haskız COŞKUN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2000 Vol.24 Issue 1, pp.15-24

Belge Tipi:

Makale

Yayın Tarihi:

12/1999

Belge Dili:

Türkçe

Document ID (Org No.):

2000749230

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098