On Fourier series with respect to the Bessel polynomial-system

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Summability of Fourier Series with Respect to the Walsh–paley System

In the present paper we prove a number of statements dealing with the uniform convergence of Cesàro means of negative order of the Fourier– Walsh series. 1. Definitions and Notation Let r0(x) be the function defined by r0(x) =    1 if x ∈ [0, 12 ) , −1 if x ∈ 12 , 1 ) , r0(x+ 1) = r0(x). The Rademacher system is defined by rn(x) = r0(2x), n ≥ 1, and x ∈ [0, 1). Let ψ0(x), ψ1(x), ψ2(x), . . ....

متن کامل

On the Uniform Convergence and L-convergence of Double Fourier Series with Respect to the Walsh–kaczmarz System

In this paper we study the approximation by rectangular partial sums of a double Fourier series with respect to the Walsh–Kaczmarz system in the spaces C and L. From our results we obtain different criteria of the uniform convergence and L-convergence of a double Fourier–Kaczmarz series. 2000 Mathematics Subject Classification: Primary 41A50; Secondary 42C10.

متن کامل

The Fourier-bessel Transform

Abstract. In this paper we devise a new multi-dimensional integral transform within the Clifford analysis setting, the so-called Fourier-Bessel transform. It appears that in the two-dimensional case, it coincides with the Clifford-Fourier and cylindrical Fourier transforms introduced earlier. We show that this new integral transform satisfies operational formulae which are similar to those of t...

متن کامل

Some Recent Results on Convergence and Divergence with Respect to Walsh-fourier Series

It is of main interest in the theory of Fourier series the reconstruction of a function from the partial sums of its Fourier series. Just to mention two examples: Billard proved [2] the theorem of Carleson for the Walsh-Paley system, that is, for each function in L we have the almost everywhere convergence Snf → f and Fine proved [4] the Fejér-Lebesgue theorem, that is for each integrable funct...

متن کامل

Automatic Face Recognition System Based on Local Fourier-Bessel Features

We present an automatic face verification system inspired by known properties of biological systems. In the proposed algorithm the whole image is converted from the spatial to polar frequency domain by a Fourier-Bessel Transform (FBT). Using the whole image is compared to the case where only face image regions (local analysis) are considered. The resulting representations are embedded in a diss...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Colloquium Mathematicum

سال: 1966

ISSN: 0010-1354,1730-6302

DOI: 10.4064/cm-15-1-105-110