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Currently displaying 1 – 20 of 24

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Bilinear expansions of the kernels of some nonselfadjoint integral operators.

Dostanić, Milutin — 2001

Matematichki Vesnik

A basis property of families of the Mittag-Leffler functions.

Dostanić, Milutin — 1996

Matematichki Vesnik

Some inequalities for entire functions of exponential type.

Dostanić, Milutin — 1996

Matematichki Vesnik

Inequality of Poincaré-Friedrich's type on $L^{p}$ spaces.

Dostanić, Milutin R. — 2005

Matematichki Vesnik

Relationship between the operators of Cauchy and logarithmic potential type.

Dostanić, Milutin R. — 1999

Matematichki Vesnik

Two sided norm estimate of the Bergman projection on $L^{p}$ spaces

Milutin R. Dostanić — 2008

Czechoslovak Mathematical Journal

We give some explicit values of the constants $C_{1}$ and $C_{2}$ in the inequality $C_{1} / sin (\frac{π}{p}) \leq {|P|}_{p} \leq C_{2} / sin (\frac{π}{p})$ where ${|P|}_{p}$ denotes the norm of the Bergman projection on the $L^{p}$ space.

Exact asymptotic behavior of singular values of a class of integral operators

Milutin R. Dostanić — 1999

Czechoslovak Mathematical Journal

We find an exact asymptotic formula for the singular values of the integral operator of the form $\int_{Ω} T (x, y) k (x - y) \cdot d y L^{2} (Ω) \to L^{2} (Ω)$ ( $Ω \subset ℝ^{m}$ , a Jordan measurable set) where $k (t) = k_{0} ({(t_{1}^{2} + t_{2}^{2} + ... t_{m}^{2})}^{\frac{m}{2}})$ , $k_{0} (x) = x^{α - 1} L (\frac{1}{x})$ , $\frac{1}{2} - \frac{1}{2 m} < α < \frac{1}{2}$ and $L$ is slowly varying function with some additional properties. The formula is an explicit expression in terms of $L$ and $T$ .

Boundedness of the Bergman projections of $L^{p}$ spaces with radial weights

Milutin Dostanić — 2009

Publications de l'Institut Mathématique

Some Estimations of Positive and Negative Eigenvalues for an Inhomogeneous Membrane

Milutin Dostanić — 1996

Matematički Vesnik

On a Theorem of Ky-Fan Type

Milutin Dostanić — 1995

Matematički Vesnik

Trace Formulas of Gelfand--levitan Type

Milutin Dostanić — 1994

Publications de l'Institut Mathématique

Generalization of the Mercer Theorem

Milutin Dostanić — 1993

Publications de l'Institut Mathématique

Asymptotic Behavior of Eigenvalues of Certain Integral Operators

Milutin Dostanić — 1996

Publications de l'Institut Mathématique

Trace Formula for Nonnuclear Perturbations of Selfađoint Operators

Milutin Dostanić — 1993

Publications de l'Institut Mathématique

Generalized Eigenvector Expansion for Weakly Perturbated Discrete Operators

Milutin Dostanić — 1993

Matematički Vesnik

Spectral Properties of the Cauchy Operator and the Operator of Logarithmic Potential Type on L2 Space With Radial Weight

Milutin Dostanić — 1998

Matematički Vesnik

Bilinear Expansions of the Kernels of Some Nonselfadjoint Integral Operators

Milutin Dostanić — 2001

Matematički Vesnik

On the Expansion Theorem for a Certain Boundary Value Problem for a Functional Differential Equation

Milutin Dostanić — 1993

Matematički Vesnik

Some Estimates of the Remainder in the Expressions for the Eigenvalue Asymptotics of Some Singular Integral Operators

Milutin Dostanić — 1997

Matematički Vesnik

Exact Asymptotic Behaviour of the Singular Values of Integral Operators With the Kernel Having Singularity on the Diagonal

Milutin Dostanić — 1996

Publications de l'Institut Mathématique

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