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ABSTRACT We deal with several classes of integral transformations of the form where D is a special differential operator. In case D is the identical operator, we prove a Young… Click to show full abstract
ABSTRACT We deal with several classes of integral transformations of the form where D is a special differential operator. In case D is the identical operator, we prove a Young type theorem for a generalized convolution operator related to the Fourier and the Kontorovich–Lebedev integral transforms. In case D is a certain finite order differential operator, we study the unitary property of these transforms and apply them to solve a class of integro-differential equations. Several classes of system of integral equations are also considered.
Keywords:
fourier kontorovich;
lebedev generalized;
kontorovich lebedev;
generalized convolution;
operator
Journal Title: Integral Transforms and Special Functions
Year Published: 2017
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Journal Title: Integral Transforms and Special Functions
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!