Gamma operators reproducing exponential functions
نویسندگان
چکیده
منابع مشابه
HUA OPERATORS ON BOUNDED HOMOGENEOUS DOMAINS IN C n AND ALTERNATIVE REPRODUCING KERNELS FOR HOLOMORPHIC FUNCTIONS
(1) Contain all real and imaginary parts of bounded holomorphic functions. (2) Be describable as \Poisson integrals" over the Bergman-Shilov boundary against a real kernel (the \Poisson" kernel). (3) Be invariant under all bi-holomorphisms of the domain. (4) Be describable as the nullspace HL of a degenerate-elliptic system L of second order di erential operators. (We refer to HL as the space o...
متن کاملLimit summability of ultra exponential functions
In [1] we uniquely introduced ultra exponential functions (uxpa) and denednext step of the serial binary operations: addition, multiplication and power.Also, we exhibited the topic of limit summability of real functions in [2,3]. Inthis paper, we study limit summability of the ultra exponential functions andprove some of their properties. Finally, we pose an unsolved problem aboutthem.
متن کاملPositive Decompositions of Exponential Operators
The solution of many physical evolution equations can be expressed as an exponential of two or more operators. Approximate solutions can be systematically derived by decomposing the exponential in a product form. For time-reversible equations, such as the Hamilton or the Schrödinger equation, it is immaterial whether the decomposition coefficients are positive or negative. For timeirreversible ...
متن کاملExponential splitting for unbounded operators
We present a convergence analysis for exponential splitting methods applied to linear evolution equations. Our main result states that the classical order of the splitting method is retained in a setting of unbounded operators, without requiring any additional order condition. This is achieved by basing the analysis on the abstract framework of (semi)groups. The convergence analysis also includ...
متن کاملDistance Functions for Reproducing Kernel Hilbert Spaces
Suppose H is a space of functions on X. If H is a Hilbert space with reproducing kernel then that structure of H can be used to build distance functions on X. We describe some of those and their interpretations and interrelations. We also present some computational properties and examples.
متن کاملذخیره 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: Advances in Difference Equations
سال: 2020
ISSN: 1687-1847
DOI: 10.1186/s13662-020-02880-x