TY  - JOUR
AB  - The translation operator TA associated with the special affine Fourier transform (SAFT) FA is introduced from harmonic analysis point of view. The analogues of Wendel’s theorem, Wiener theorem, Wiener-Tauberian theorem and Bernstein type inequality in the context of the SAFT are established. The shift invariant space VA associated with the special affine Fourier transform is introduced and studied along with sampling problems.
AU  - Biswas, M.H.A.*
AU  - Filbir, F.
AU  - Ramakrishnan, R.*
C1  - 74355
C2  - 57265
CY  - Tiergartenstrasse 17, D-69121 Heidelberg, Germany
SP  - 2221–2248
TI  - The system of translates and the special affine Fourier transform.
JO  - Ann. Mat. Pura Appl.
VL  - 204
PB  - Springer Heidelberg
PY  - 2025
SN  - 0373-3114
ER  - 

TY  - JOUR
AB  - A Large Deviation Principle (LDP) for the free energy of random Gibbs measures is proved in the form of a general LDP for random log-Laplace integrals. The principle is then applied to an extended version of the Random Energy Model (REM). The rate of exponential decay for the classical REM is stronger than the known concentration exponent, and probabilities of negative deviations are super-exponentially small.
AU  - Fedrigo, M.
AU  - Flandoli, F.*
AU  - Morandin, F.*
C1  - 5696
C2  - 23831
SP  - 381-417
TI  - A large deviation principle for the free energy of random Gibbs measures with application to the REM.
JO  - Ann. Mat. Pura Appl.
VL  - 186
IS  - 3
PB  - Springer
PY  - 2007
SN  - 0373-3114
ER  -